id sid tid token lemma pos asir-4886 1 1 applied apply VERB asir-4886 1 2 science science NOUN asir-4886 1 3 and and CCONJ asir-4886 1 4 innovative innovative ADJ asir-4886 1 5 research research NOUN asir-4886 1 6 issn issn VERB asir-4886 1 7 2474 2474 NUM asir-4886 1 8 - - SYM asir-4886 1 9 4972 4972 NUM asir-4886 1 10 ( ( PUNCT asir-4886 1 11 print print NOUN asir-4886 1 12 ) ) PUNCT asir-4886 1 13 issn issn VERB asir-4886 1 14 2474 2474 NUM asir-4886 1 15 - - SYM asir-4886 1 16 4980 4980 NUM asir-4886 1 17 ( ( PUNCT asir-4886 1 18 online online ADJ asir-4886 1 19 ) ) PUNCT asir-4886 1 20 vol vol NOUN asir-4886 1 21 . . PROPN asir-4886 2 1 6 6 NUM asir-4886 2 2 , , PUNCT asir-4886 2 3 no no INTJ asir-4886 2 4 . . NOUN asir-4886 2 5 3 3 NUM asir-4886 2 6 , , PUNCT asir-4886 2 7 2022 2022 NUM asir-4886 2 8 www.scholink.org/ojs/index.php/asir www.scholink.org/ojs/index.php/asir VERB asir-4886 2 9 21 21 NUM asir-4886 2 10 original original ADJ asir-4886 2 11 paper paper NOUN asir-4886 2 12 understanding understand VERB asir-4886 2 13 black black ADJ asir-4886 2 14 hole hole NOUN asir-4886 2 15 imaging imaging NOUN asir-4886 2 16 based base VERB asir-4886 2 17 on on ADP asir-4886 2 18 very very ADV asir-4886 2 19 large large ADJ asir-4886 2 20 baseline baseline NOUN asir-4886 2 21 interferometry interferometry NOUN asir-4886 2 22 ( ( PUNCT asir-4886 2 23 vlbi vlbi PROPN asir-4886 2 24 ) ) PUNCT asir-4886 2 25 yufan yufan PROPN asir-4886 2 26 ( ( PUNCT asir-4886 2 27 jerry jerry NOUN asir-4886 2 28 ) ) PUNCT asir-4886 2 29 chen1 chen1 PROPN asir-4886 2 30 * * SYM asir-4886 2 31 1 1 NUM asir-4886 2 32 brooks brooks PROPN asir-4886 2 33 school school NOUN asir-4886 2 34 , , PUNCT asir-4886 2 35 north north PROPN asir-4886 2 36 andover andover PROPN asir-4886 2 37 , , PUNCT asir-4886 2 38 usa usa PROPN asir-4886 2 39 * * PUNCT asir-4886 2 40 yufan yufan PROPN asir-4886 2 41 chen chen PROPN asir-4886 2 42 , , PUNCT asir-4886 2 43 brooks brooks PROPN asir-4886 2 44 school school PROPN asir-4886 2 45 , , PUNCT asir-4886 2 46 north north PROPN asir-4886 2 47 andover andover PROPN asir-4886 2 48 , , PUNCT asir-4886 2 49 usa usa PROPN asir-4886 2 50 received receive VERB asir-4886 2 51 : : PUNCT asir-4886 2 52 may may AUX asir-4886 2 53 28 28 NUM asir-4886 2 54 , , PUNCT asir-4886 2 55 2022 2022 NUM asir-4886 2 56 accepted accept VERB asir-4886 2 57 : : PUNCT asir-4886 2 58 june june PROPN asir-4886 2 59 9 9 NUM asir-4886 2 60 , , PUNCT asir-4886 2 61 2022 2022 NUM asir-4886 2 62 online online ADV asir-4886 2 63 published publish VERB asir-4886 2 64 : : PUNCT asir-4886 2 65 june june PROPN asir-4886 2 66 15 15 NUM asir-4886 2 67 , , PUNCT asir-4886 2 68 2022 2022 NUM asir-4886 2 69 doi:10.22158 doi:10.22158 NOUN asir-4886 2 70 / / SYM asir-4886 2 71 asir.v6n3p21 asir.v6n3p21 PROPN asir-4886 2 72 url url PROPN asir-4886 2 73 : : PUNCT asir-4886 2 74 http://doi.org/10.22158/asir.v6n3p21 http://doi.org/10.22158/asir.v6n3p21 PROPN asir-4886 2 75 abstract abstract NOUN asir-4886 2 76 in in ADP asir-4886 2 77 2019 2019 NUM asir-4886 2 78 , , PUNCT asir-4886 2 79 the the DET asir-4886 2 80 event event NOUN asir-4886 2 81 horizon horizon NOUN asir-4886 2 82 telescope telescope NOUN asir-4886 2 83 made make VERB asir-4886 2 84 history history NOUN asir-4886 2 85 when when SCONJ asir-4886 2 86 it it PRON asir-4886 2 87 captured capture VERB asir-4886 2 88 the the DET asir-4886 2 89 first first ADJ asir-4886 2 90 known know VERB asir-4886 2 91 image image NOUN asir-4886 2 92 of of ADP asir-4886 2 93 a a DET asir-4886 2 94 blackhole blackhole NOUN asir-4886 2 95 . . PUNCT asir-4886 3 1 the the DET asir-4886 3 2 black black ADJ asir-4886 3 3 hole hole NOUN asir-4886 3 4 , , PUNCT asir-4886 3 5 situated situate VERB asir-4886 3 6 in in ADP asir-4886 3 7 the the DET asir-4886 3 8 center center NOUN asir-4886 3 9 of of ADP asir-4886 3 10 the the DET asir-4886 3 11 messier messy ADJ asir-4886 3 12 87 87 NUM asir-4886 3 13 galaxy galaxy NOUN asir-4886 3 14 , , PUNCT asir-4886 3 15 is be AUX asir-4886 3 16 more more ADJ asir-4886 3 17 than than ADP asir-4886 3 18 55 55 NUM asir-4886 3 19 million million NUM asir-4886 3 20 light light ADJ asir-4886 3 21 - - PUNCT asir-4886 3 22 years year NOUN asir-4886 3 23 away away ADV asir-4886 3 24 from from ADP asir-4886 3 25 earth earth NOUN asir-4886 3 26 , , PUNCT asir-4886 3 27 and and CCONJ asir-4886 3 28 was be AUX asir-4886 3 29 only only ADV asir-4886 3 30 able able ADJ asir-4886 3 31 to to PART asir-4886 3 32 be be AUX asir-4886 3 33 captured capture VERB asir-4886 3 34 using use VERB asir-4886 3 35 very very ADV asir-4886 3 36 large large ADJ asir-4886 3 37 baseline baseline NOUN asir-4886 3 38 interferometry interferometry NOUN asir-4886 3 39 ( ( PUNCT asir-4886 3 40 vlbi vlbi PROPN asir-4886 3 41 ) ) PUNCT asir-4886 3 42 technology technology NOUN asir-4886 3 43 and and CCONJ asir-4886 3 44 the the DET asir-4886 3 45 computational computational ADJ asir-4886 3 46 imaging imaging NOUN asir-4886 3 47 technologies technology NOUN asir-4886 3 48 integrated integrate VERB asir-4886 3 49 into into ADP asir-4886 3 50 the the DET asir-4886 3 51 event event NOUN asir-4886 3 52 horizon horizon NOUN asir-4886 3 53 telescope telescope PROPN asir-4886 3 54 array array NOUN asir-4886 3 55 ( ( PUNCT asir-4886 3 56 the the DET asir-4886 3 57 event event NOUN asir-4886 3 58 horizon horizon NOUN asir-4886 3 59 telescope telescope PROPN asir-4886 3 60 collaboration collaboration NOUN asir-4886 3 61 , , PUNCT asir-4886 3 62 2019 2019 NUM asir-4886 3 63 ) ) PUNCT asir-4886 3 64 . . PUNCT asir-4886 4 1 astronomical astronomical ADJ asir-4886 4 2 image image NOUN asir-4886 4 3 processing processing NOUN asir-4886 4 4 and and CCONJ asir-4886 4 5 interferometry interferometry NOUN asir-4886 4 6 requires require VERB asir-4886 4 7 the the DET asir-4886 4 8 collection collection NOUN asir-4886 4 9 of of ADP asir-4886 4 10 radio radio NOUN asir-4886 4 11 waves wave NOUN asir-4886 4 12 using use VERB asir-4886 4 13 a a DET asir-4886 4 14 radio radio NOUN asir-4886 4 15 telescope telescope NOUN asir-4886 4 16 and and CCONJ asir-4886 4 17 analyzing analyze VERB asir-4886 4 18 that that SCONJ asir-4886 4 19 data datum NOUN asir-4886 4 20 with with ADP asir-4886 4 21 software software NOUN asir-4886 4 22 . . PUNCT asir-4886 5 1 vlbi vlbi PROPN asir-4886 5 2 collects collect VERB asir-4886 5 3 signals signal NOUN asir-4886 5 4 with with ADP asir-4886 5 5 multiple multiple ADJ asir-4886 5 6 telescopes telescope NOUN asir-4886 5 7 simultaneously simultaneously ADV asir-4886 5 8 , , PUNCT asir-4886 5 9 and and CCONJ asir-4886 5 10 the the DET asir-4886 5 11 resulting result VERB asir-4886 5 12 data datum NOUN asir-4886 5 13 can can AUX asir-4886 5 14 be be AUX asir-4886 5 15 reduced reduce VERB asir-4886 5 16 and and CCONJ asir-4886 5 17 analyzed analyze VERB asir-4886 5 18 as as ADP asir-4886 5 19 data datum NOUN asir-4886 5 20 collected collect VERB asir-4886 5 21 by by ADP asir-4886 5 22 a a DET asir-4886 5 23 telescope telescope NOUN asir-4886 5 24 with with ADP asir-4886 5 25 the the DET asir-4886 5 26 diameter diameter NOUN asir-4886 5 27 equal equal ADJ asir-4886 5 28 to to ADP asir-4886 5 29 the the DET asir-4886 5 30 largest large ADJ asir-4886 5 31 distance distance NOUN asir-4886 5 32 between between ADP asir-4886 5 33 the the DET asir-4886 5 34 telescopes telescope NOUN asir-4886 5 35 , , PUNCT asir-4886 5 36 thus thus ADV asir-4886 5 37 is be AUX asir-4886 5 38 capable capable ADJ asir-4886 5 39 of of ADP asir-4886 5 40 producing produce VERB asir-4886 5 41 an an DET asir-4886 5 42 image image NOUN asir-4886 5 43 with with ADP asir-4886 5 44 higher high ADJ asir-4886 5 45 angular angular ADJ asir-4886 5 46 resolution resolution NOUN asir-4886 5 47 and and CCONJ asir-4886 5 48 capturing capture VERB asir-4886 5 49 objects object NOUN asir-4886 5 50 further far ADV asir-4886 5 51 away away ADV asir-4886 5 52 from from ADP asir-4886 5 53 earth earth NOUN asir-4886 5 54 . . PUNCT asir-4886 6 1 however however ADV asir-4886 6 2 , , PUNCT asir-4886 6 3 due due ADP asir-4886 6 4 to to ADP asir-4886 6 5 the the DET asir-4886 6 6 distance distance NOUN asir-4886 6 7 between between ADP asir-4886 6 8 the the DET asir-4886 6 9 vlbi vlbi PROPN asir-4886 6 10 telescopes telescope NOUN asir-4886 6 11 , , PUNCT asir-4886 6 12 algorithms algorithm NOUN asir-4886 6 13 are be AUX asir-4886 6 14 needed need VERB asir-4886 6 15 to to PART asir-4886 6 16 fill fill VERB asir-4886 6 17 in in ADP asir-4886 6 18 the the DET asir-4886 6 19 hole hole NOUN asir-4886 6 20 within within ADP asir-4886 6 21 the the DET asir-4886 6 22 collected collect VERB asir-4886 6 23 data datum NOUN asir-4886 6 24 and and CCONJ asir-4886 6 25 reduce reduce VERB asir-4886 6 26 atmospheric atmospheric ADJ asir-4886 6 27 noise noise NOUN asir-4886 6 28 and and CCONJ asir-4886 6 29 delays delay NOUN asir-4886 6 30 in in ADP asir-4886 6 31 signals signal NOUN asir-4886 6 32 ( ( PUNCT asir-4886 6 33 very very ADV asir-4886 6 34 long long ADJ asir-4886 6 35 baseline baseline NOUN asir-4886 6 36 array array NOUN asir-4886 6 37 ( ( PUNCT asir-4886 6 38 vlba vlba ADJ asir-4886 6 39 ) ) PUNCT asir-4886 6 40 ) ) PUNCT asir-4886 6 41 . . PUNCT asir-4886 7 1 we we PRON asir-4886 7 2 conduct conduct VERB asir-4886 7 3 an an DET asir-4886 7 4 in in ADP asir-4886 7 5 depth depth NOUN asir-4886 7 6 review review NOUN asir-4886 7 7 of of ADP asir-4886 7 8 the the DET asir-4886 7 9 algorithm algorithm NOUN asir-4886 7 10 and and CCONJ asir-4886 7 11 vlbi vlbi PROPN asir-4886 7 12 as as ADP asir-4886 7 13 a a DET asir-4886 7 14 whole whole NOUN asir-4886 7 15 in in ADP asir-4886 7 16 this this DET asir-4886 7 17 paper paper NOUN asir-4886 7 18 , , PUNCT asir-4886 7 19 and and CCONJ asir-4886 7 20 hope hope VERB asir-4886 7 21 to to PART asir-4886 7 22 use use VERB asir-4886 7 23 our our PRON asir-4886 7 24 findings finding NOUN asir-4886 7 25 to to PART asir-4886 7 26 further far ADV asir-4886 7 27 push push VERB asir-4886 7 28 the the DET asir-4886 7 29 development development NOUN asir-4886 7 30 of of ADP asir-4886 7 31 this this DET asir-4886 7 32 great great ADJ asir-4886 7 33 technology technology NOUN asir-4886 7 34 . . PUNCT asir-4886 8 1 keywords keyword VERB asir-4886 8 2 astrophysics astrophysic NOUN asir-4886 8 3 , , PUNCT asir-4886 8 4 imaging imaging NOUN asir-4886 8 5 , , PUNCT asir-4886 8 6 interferometry interferometry NOUN asir-4886 8 7 , , PUNCT asir-4886 8 8 astrophotography astrophotography NOUN asir-4886 8 9 1 1 NUM asir-4886 8 10 . . PUNCT asir-4886 9 1 introduction introduction NOUN asir-4886 9 2 very very ADV asir-4886 9 3 - - PUNCT asir-4886 9 4 long long ADJ asir-4886 9 5 - - PUNCT asir-4886 9 6 baseline baseline NOUN asir-4886 9 7 interferometry interferometry NOUN asir-4886 9 8 is be AUX asir-4886 9 9 a a DET asir-4886 9 10 method method NOUN asir-4886 9 11 used use VERB asir-4886 9 12 in in ADP asir-4886 9 13 astronomical astronomical ADJ asir-4886 9 14 imaging imaging NOUN asir-4886 9 15 using use VERB asir-4886 9 16 radio radio NOUN asir-4886 9 17 waves wave NOUN asir-4886 9 18 . . PUNCT asir-4886 10 1 to to PART asir-4886 10 2 create create VERB asir-4886 10 3 an an DET asir-4886 10 4 image image NOUN asir-4886 10 5 of of ADP asir-4886 10 6 astronomical astronomical ADJ asir-4886 10 7 objects object NOUN asir-4886 10 8 that that PRON asir-4886 10 9 are be AUX asir-4886 10 10 of of ADP asir-4886 10 11 significant significant ADJ asir-4886 10 12 distance distance NOUN asir-4886 10 13 and and CCONJ asir-4886 10 14 maintain maintain VERB asir-4886 10 15 angular angular ADJ asir-4886 10 16 resolution resolution NOUN asir-4886 10 17 , , PUNCT asir-4886 10 18 it it PRON asir-4886 10 19 is be AUX asir-4886 10 20 necessary necessary ADJ asir-4886 10 21 to to PART asir-4886 10 22 have have VERB asir-4886 10 23 a a DET asir-4886 10 24 radio radio NOUN asir-4886 10 25 telescope telescope NOUN asir-4886 10 26 with with ADP asir-4886 10 27 a a DET asir-4886 10 28 large large ADJ asir-4886 10 29 diameter diameter NOUN asir-4886 10 30 , , PUNCT asir-4886 10 31 since since SCONJ asir-4886 10 32 the the DET asir-4886 10 33 diffraction diffraction NOUN asir-4886 10 34 limit limit NOUN asir-4886 10 35 of of ADP asir-4886 10 36 smaller small ADJ asir-4886 10 37 telescopes telescope NOUN asir-4886 10 38 means mean VERB asir-4886 10 39 there there PRON asir-4886 10 40 would would AUX asir-4886 10 41 be be AUX asir-4886 10 42 less less ADV asir-4886 10 43 angular angular ADJ asir-4886 10 44 resolution resolution NOUN asir-4886 10 45 . . PUNCT asir-4886 11 1 thus thus ADV asir-4886 11 2 , , PUNCT asir-4886 11 3 when when SCONJ asir-4886 11 4 graphing graph VERB asir-4886 11 5 incredibly incredibly ADV asir-4886 11 6 far far ADV asir-4886 11 7 away away ADV asir-4886 11 8 objects object NOUN asir-4886 11 9 like like ADP asir-4886 11 10 a a DET asir-4886 11 11 www.scholink.org/ojs/index.php/asir www.scholink.org/ojs/index.php/asir NOUN asir-4886 11 12 applied apply VERB asir-4886 11 13 science science NOUN asir-4886 11 14 and and CCONJ asir-4886 11 15 innovative innovative ADJ asir-4886 11 16 research research NOUN asir-4886 11 17 vol vol NOUN asir-4886 11 18 . . PROPN asir-4886 11 19 6 6 NUM asir-4886 11 20 , , PUNCT asir-4886 11 21 no no INTJ asir-4886 11 22 . . NOUN asir-4886 11 23 3 3 NUM asir-4886 11 24 , , PUNCT asir-4886 11 25 2022 2022 NUM asir-4886 11 26 22 22 NUM asir-4886 11 27 published publish VERB asir-4886 11 28 by by ADP asir-4886 11 29 scholink scholink PROPN asir-4886 11 30 inc inc PROPN asir-4886 11 31 . . PROPN asir-4886 11 32 black black ADJ asir-4886 11 33 hole hole NOUN asir-4886 11 34 , , PUNCT asir-4886 11 35 the the DET asir-4886 11 36 size size NOUN asir-4886 11 37 of of ADP asir-4886 11 38 the the DET asir-4886 11 39 telescope telescope NOUN asir-4886 11 40 required require VERB asir-4886 11 41 becomes become VERB asir-4886 11 42 unrealistic unrealistic ADJ asir-4886 11 43 to to PART asir-4886 11 44 maintain maintain VERB asir-4886 11 45 angular angular ADJ asir-4886 11 46 resolution resolution NOUN asir-4886 11 47 . . PUNCT asir-4886 12 1 vlbi vlbi PROPN asir-4886 12 2 can can AUX asir-4886 12 3 be be AUX asir-4886 12 4 used use VERB asir-4886 12 5 to to PART asir-4886 12 6 avoid avoid VERB asir-4886 12 7 this this DET asir-4886 12 8 issue issue NOUN asir-4886 12 9 . . PUNCT asir-4886 13 1 vlbi vlbi PROPN asir-4886 13 2 collects collect VERB asir-4886 13 3 data datum NOUN asir-4886 13 4 using use VERB asir-4886 13 5 multiple multiple ADJ asir-4886 13 6 radio radio NOUN asir-4886 13 7 telescopes telescope NOUN asir-4886 13 8 located locate VERB asir-4886 13 9 at at ADP asir-4886 13 10 different different ADJ asir-4886 13 11 regions region NOUN asir-4886 13 12 of of ADP asir-4886 13 13 the the DET asir-4886 13 14 planet planet NOUN asir-4886 13 15 . . PUNCT asir-4886 14 1 due due ADP asir-4886 14 2 to to ADP asir-4886 14 3 the the DET asir-4886 14 4 difference difference NOUN asir-4886 14 5 in in ADP asir-4886 14 6 location location NOUN asir-4886 14 7 between between ADP asir-4886 14 8 the the DET asir-4886 14 9 radio radio NOUN asir-4886 14 10 telescopes telescope NOUN asir-4886 14 11 , , PUNCT asir-4886 14 12 there there PRON asir-4886 14 13 is be VERB asir-4886 14 14 a a DET asir-4886 14 15 difference difference NOUN asir-4886 14 16 in in ADP asir-4886 14 17 time time NOUN asir-4886 14 18 delay delay NOUN asir-4886 14 19 in in ADP asir-4886 14 20 receiving receive VERB asir-4886 14 21 the the DET asir-4886 14 22 signals signal NOUN asir-4886 14 23 . . PUNCT asir-4886 15 1 in in ADP asir-4886 15 2 extended extended ADJ asir-4886 15 3 emissions emission NOUN asir-4886 15 4 , , PUNCT asir-4886 15 5 the the DET asir-4886 15 6 time time NOUN asir-4886 15 7 difference difference NOUN asir-4886 15 8 is be AUX asir-4886 15 9 equivalent equivalent ADJ asir-4886 15 10 to to ADP asir-4886 15 11 the the DET asir-4886 15 12 sinusoidal sinusoidal ADJ asir-4886 15 13 variation variation NOUN asir-4886 15 14 on on ADP asir-4886 15 15 the the DET asir-4886 15 16 emission emission NOUN asir-4886 15 17 ’s ’s PART asir-4886 15 18 intensity intensity NOUN asir-4886 15 19 distribution distribution NOUN asir-4886 15 20 , , PUNCT asir-4886 15 21 as as SCONJ asir-4886 15 22 theorized theorize VERB asir-4886 15 23 by by ADP asir-4886 15 24 the the DET asir-4886 15 25 cittert cittert ADJ asir-4886 15 26 - - PUNCT asir-4886 15 27 zernike zernike NOUN asir-4886 15 28 theorem theorem NOUN asir-4886 15 29 ( ( PUNCT asir-4886 15 30 bouman bouman PROPN asir-4886 15 31 , , PUNCT asir-4886 15 32 katherine katherine PROPN asir-4886 15 33 , , PUNCT asir-4886 15 34 johnson johnson PROPN asir-4886 15 35 , , PUNCT asir-4886 15 36 michael michael PROPN asir-4886 15 37 , , PUNCT asir-4886 15 38 zoran zoran PROPN asir-4886 15 39 , , PUNCT asir-4886 15 40 daniel daniel PROPN asir-4886 15 41 , , PUNCT asir-4886 15 42 fish fish NOUN asir-4886 15 43 , , PUNCT asir-4886 15 44 vincent vincent PROPN asir-4886 15 45 , , PUNCT asir-4886 15 46 doeleman doeleman NOUN asir-4886 15 47 , , PUNCT asir-4886 15 48 sheperd sheperd NOUN asir-4886 15 49 , , PUNCT asir-4886 15 50 & & CCONJ asir-4886 15 51 freeman freeman PROPN asir-4886 15 52 , , PUNCT asir-4886 15 53 william william PROPN asir-4886 15 54 , , PUNCT asir-4886 15 55 2016 2016 NUM asir-4886 15 56 ) ) PUNCT asir-4886 15 57 , , PUNCT asir-4886 15 58 and and CCONJ asir-4886 15 59 we we PRON asir-4886 15 60 can can AUX asir-4886 15 61 calculate calculate VERB asir-4886 15 62 using use VERB asir-4886 15 63 equation equation NOUN asir-4886 15 64 𝛀𝑖,𝑗(𝑒 𝛀𝑖,𝑗(𝑒 NOUN asir-4886 15 65 , , PUNCT asir-4886 15 66 𝑣 𝑣 NOUN asir-4886 15 67 ) ) PUNCT asir-4886 16 1 β‰ˆ β‰ˆ PROPN asir-4886 16 2 ∫ ∫ PROPN asir-4886 16 3 β„“ β„“ PROPN asir-4886 16 4 ∫ ∫ PROPN asir-4886 16 5 π‘š π‘š PROPN asir-4886 17 1 π‘’βˆ’π‘–2πœ‹(𝑒ℓ+π‘£π‘š)πΌπœ†(β„“ π‘’βˆ’π‘–2πœ‹(𝑒ℓ+π‘£π‘š)πΌπœ†(β„“ PROPN asir-4886 17 2 , , PUNCT asir-4886 17 3 π‘š)π‘‘π‘™π‘‘π‘š π‘š)π‘‘π‘™π‘‘π‘š NOUN asir-4886 17 4 where where SCONJ asir-4886 17 5 πΌπœ†(β„“ πΌπœ†(β„“ NOUN asir-4886 17 6 , , PUNCT asir-4886 17 7 π‘š π‘š NOUN asir-4886 17 8 ) ) PUNCT asir-4886 17 9 is be AUX asir-4886 17 10 the the DET asir-4886 17 11 emission emission NOUN asir-4886 17 12 of of ADP asir-4886 17 13 wavelength wavelength NOUN asir-4886 17 14 from from ADP asir-4886 17 15 direction direction NOUN asir-4886 17 16 πœ† πœ† NOUN asir-4886 17 17 and and CCONJ asir-4886 17 18 coordinates coordinate NOUN asir-4886 17 19 ( ( PUNCT asir-4886 17 20 β„“ β„“ INTJ asir-4886 17 21 , , PUNCT asir-4886 17 22 π‘š π‘š PROPN asir-4886 17 23 , , PUNCT asir-4886 17 24 √1 √1 PART asir-4886 17 25 βˆ’ βˆ’ PROPN asir-4886 17 26 β„“2 β„“2 PROPN asir-4886 17 27 βˆ’ βˆ’ PROPN asir-4886 17 28 π‘š2 π‘š2 NOUN asir-4886 17 29 ) ) PUNCT asir-4886 17 30 figure figure NOUN asir-4886 17 31 1 1 NUM asir-4886 17 32 . . PUNCT asir-4886 17 33 telescope telescope NOUN asir-4886 17 34 array array NOUN asir-4886 17 35 at at ADP asir-4886 17 36 the the DET asir-4886 17 37 smithsonian smithsonian PROPN asir-4886 17 38 submillimeter submillimeter NOUN asir-4886 17 39 array array PROPN asir-4886 17 40 , , PUNCT asir-4886 17 41 hawaii hawaii PROPN asir-4886 17 42 , , PUNCT asir-4886 17 43 which which PRON asir-4886 17 44 used use VERB asir-4886 17 45 vlbi vlbi PROPN asir-4886 17 46 technology technology PROPN asir-4886 17 47 to to PART asir-4886 17 48 help help VERB asir-4886 17 49 capture capture VERB asir-4886 17 50 a a DET asir-4886 17 51 picture picture NOUN asir-4886 17 52 of of ADP asir-4886 17 53 the the DET asir-4886 17 54 black black ADJ asir-4886 17 55 hole hole NOUN asir-4886 17 56 with with ADP asir-4886 17 57 the the DET asir-4886 17 58 event event NOUN asir-4886 17 59 horizon horizon NOUN asir-4886 17 60 project project NOUN asir-4886 17 61 after after SCONJ asir-4886 17 62 vlbi vlbi PROPN asir-4886 17 63 data data PROPN asir-4886 17 64 is be AUX asir-4886 17 65 received receive VERB asir-4886 17 66 , , PUNCT asir-4886 17 67 the the DET asir-4886 17 68 collected collect VERB asir-4886 17 69 data datum NOUN asir-4886 17 70 , , PUNCT asir-4886 17 71 either either CCONJ asir-4886 17 72 on on ADP asir-4886 17 73 a a DET asir-4886 17 74 magnetic magnetic ADJ asir-4886 17 75 film film NOUN asir-4886 17 76 or or CCONJ asir-4886 17 77 via via ADP asir-4886 17 78 fiber fiber NOUN asir-4886 17 79 - - PUNCT asir-4886 17 80 optic optic NOUN asir-4886 17 81 cables cable NOUN asir-4886 17 82 , , PUNCT asir-4886 17 83 is be AUX asir-4886 17 84 synchronized synchronize VERB asir-4886 17 85 at at ADP asir-4886 17 86 a a DET asir-4886 17 87 central central ADJ asir-4886 17 88 location location NOUN asir-4886 17 89 . . PUNCT asir-4886 18 1 due due ADP asir-4886 18 2 to to ADP asir-4886 18 3 the the DET asir-4886 18 4 characteristics characteristic NOUN asir-4886 18 5 of of ADP asir-4886 18 6 vlbi vlbi PROPN asir-4886 18 7 , , PUNCT asir-4886 18 8 every every DET asir-4886 18 9 antenna antenna NOUN asir-4886 18 10 is be AUX asir-4886 18 11 a a DET asir-4886 18 12 different different ADJ asir-4886 18 13 distance distance NOUN asir-4886 18 14 away away ADV asir-4886 18 15 from from ADP asir-4886 18 16 the the DET asir-4886 18 17 radio radio NOUN asir-4886 18 18 source source NOUN asir-4886 18 19 , , PUNCT asir-4886 18 20 and and CCONJ asir-4886 18 21 each each PRON asir-4886 18 22 will will AUX asir-4886 18 23 have have VERB asir-4886 18 24 a a DET asir-4886 18 25 different different ADJ asir-4886 18 26 time time NOUN asir-4886 18 27 delay delay NOUN asir-4886 18 28 in in ADP asir-4886 18 29 receiving receive VERB asir-4886 18 30 the the DET asir-4886 18 31 signal signal NOUN asir-4886 18 32 . . PUNCT asir-4886 19 1 after after ADP asir-4886 19 2 the the DET asir-4886 19 3 synchronisation synchronisation NOUN asir-4886 19 4 , , PUNCT asir-4886 19 5 2 2 NUM asir-4886 19 6 error error NOUN asir-4886 19 7 factors factor NOUN asir-4886 19 8 are be AUX asir-4886 19 9 added add VERB asir-4886 19 10 to to PART asir-4886 19 11 account account VERB asir-4886 19 12 for for ADP asir-4886 19 13 the the DET asir-4886 19 14 time time NOUN asir-4886 19 15 delay delay NOUN asir-4886 19 16 . . PUNCT asir-4886 20 1 the the DET asir-4886 20 2 first first ADJ asir-4886 20 3 error error NOUN asir-4886 20 4 is be AUX asir-4886 20 5 a a DET asir-4886 20 6 gaussian gaussian ADJ asir-4886 20 7 noise noise NOUN asir-4886 20 8 that that PRON asir-4886 20 9 corrects correct VERB asir-4886 20 10 the the DET asir-4886 20 11 true true ADJ asir-4886 20 12 visibility visibility NOUN asir-4886 20 13 of of ADP asir-4886 20 14 the the DET asir-4886 20 15 image image NOUN asir-4886 20 16 , , PUNCT asir-4886 20 17 utilizing utilize VERB asir-4886 20 18 the the DET asir-4886 20 19 noise noise NOUN asir-4886 20 20 model model NOUN asir-4886 20 21 of of ADP asir-4886 20 22 radio radio NOUN asir-4886 20 23 interferometry interferometry NOUN asir-4886 20 24 given give VERB asir-4886 20 25 by by ADP asir-4886 20 26 cornell cornell PROPN asir-4886 20 27 and and CCONJ asir-4886 20 28 wilkinson wilkinson PROPN asir-4886 20 29 , , PUNCT asir-4886 20 30 π‘‰π‘—π‘˜ π‘‰π‘—π‘˜ PROPN asir-4886 20 31 = = SYM asir-4886 20 32 𝑉 𝑉 PROPN asir-4886 20 33 οΏ½ οΏ½ PROPN asir-4886 20 34 Μ‚ Μ‚ NOUN asir-4886 20 35 οΏ½ οΏ½ NOUN asir-4886 20 36 π‘˜(1 π‘˜(1 NOUN asir-4886 20 37 + + CCONJ asir-4886 20 38 π‘Žπ‘—)(1 π‘Žπ‘—)(1 PROPN asir-4886 20 39 + + CCONJ asir-4886 20 40 π‘Žπ‘˜ π‘Žπ‘˜ PROPN asir-4886 20 41 ) ) PUNCT asir-4886 20 42 𝑒π‘₯𝑝 𝑒π‘₯𝑝 NOUN asir-4886 21 1 [ [ X asir-4886 21 2 𝑖(πœ‘π‘— 𝑖(πœ‘π‘— ADP asir-4886 21 3 βˆ’ βˆ’ NOUN asir-4886 21 4 πœ‘π‘˜ πœ‘π‘˜ NOUN asir-4886 21 5 ) ) PUNCT asir-4886 21 6 ] ] PUNCT asir-4886 22 1 + + CCONJ asir-4886 22 2 πœ–π‘—π‘˜ πœ–π‘—π‘˜ ADJ asir-4886 22 3 , , PUNCT asir-4886 22 4 whereπ‘Žπ‘— whereπ‘Žπ‘— NOUN asir-4886 22 5 is be AUX asir-4886 22 6 the the DET asir-4886 22 7 zero zero NUM asir-4886 22 8 - - PUNCT asir-4886 22 9 mean mean ADJ asir-4886 22 10 gaussian gaussian ADJ asir-4886 22 11 amplitude amplitude NOUN asir-4886 22 12 error error NOUN asir-4886 22 13 , , PUNCT asir-4886 22 14 πœ‘π‘— πœ‘π‘— CCONJ asir-4886 22 15 is be AUX asir-4886 22 16 the the DET asir-4886 22 17 phase phase NOUN asir-4886 22 18 error error NOUN asir-4886 22 19 , , PUNCT asir-4886 22 20 πœ–π‘—π‘˜ πœ–π‘—π‘˜ NOUN asir-4886 22 21 is be AUX asir-4886 22 22 the the DET asir-4886 22 23 thermal thermal ADJ asir-4886 22 24 noise noise NOUN asir-4886 22 25 ( ( PUNCT asir-4886 22 26 bouman bouman PROPN asir-4886 22 27 , , PUNCT asir-4886 22 28 katherine katherine PROPN asir-4886 22 29 , , PUNCT asir-4886 22 30 johnson johnson PROPN asir-4886 22 31 , , PUNCT asir-4886 22 32 michael michael PROPN asir-4886 22 33 , , PUNCT asir-4886 22 34 zoran zoran PROPN asir-4886 22 35 , , PUNCT asir-4886 22 36 daniel daniel PROPN asir-4886 22 37 , , PUNCT asir-4886 22 38 fish fish NOUN asir-4886 22 39 , , PUNCT asir-4886 22 40 vincent vincent PROPN asir-4886 22 41 , , PUNCT asir-4886 22 42 doeleman doeleman NOUN asir-4886 22 43 , , PUNCT asir-4886 22 44 sheperd sheperd NOUN asir-4886 22 45 , , PUNCT asir-4886 22 46 & & CCONJ asir-4886 22 47 freeman freeman PROPN asir-4886 22 48 , , PUNCT asir-4886 22 49 william william PROPN asir-4886 22 50 , , PUNCT asir-4886 22 51 2016 2016 NUM asir-4886 22 52 ) ) PUNCT asir-4886 22 53 . . PUNCT asir-4886 23 1 ignoring ignore VERB asir-4886 23 2 atmospheric atmospheric ADJ asir-4886 23 3 noise noise NOUN asir-4886 23 4 and and CCONJ asir-4886 23 5 focusing focus VERB asir-4886 23 6 solely solely ADV asir-4886 23 7 on on ADP asir-4886 23 8 the the DET asir-4886 23 9 phase phase NOUN asir-4886 23 10 and and CCONJ asir-4886 23 11 thermal thermal ADJ asir-4886 23 12 noise noise NOUN asir-4886 23 13 , , PUNCT asir-4886 23 14 getting get VERB asir-4886 23 15 the the DET asir-4886 23 16 equation equation NOUN asir-4886 23 17 π‘‰π‘—π‘˜ π‘‰π‘—π‘˜ PROPN asir-4886 23 18 = = SYM asir-4886 23 19 𝑉 𝑉 PROPN asir-4886 23 20 οΏ½ οΏ½ PROPN asir-4886 23 21 Μ‚ Μ‚ NOUN asir-4886 23 22 οΏ½ οΏ½ NOUN asir-4886 23 23 π‘˜ π‘˜ PRON asir-4886 23 24 𝑒π‘₯𝑝 𝑒π‘₯𝑝 NOUN asir-4886 23 25 [ [ X asir-4886 23 26 𝑖(πœ‘π‘— 𝑖(πœ‘π‘— ADP asir-4886 23 27 βˆ’ βˆ’ NOUN asir-4886 23 28 πœ‘π‘˜ πœ‘π‘˜ NOUN asir-4886 23 29 ) ) PUNCT asir-4886 23 30 ] ] PUNCT asir-4886 24 1 + + CCONJ asir-4886 24 2 πœ–π‘—π‘˜. πœ–π‘—π‘˜. X asir-4886 24 3 the the DET asir-4886 24 4 second second ADJ asir-4886 24 5 error error NOUN asir-4886 24 6 is be AUX asir-4886 24 7 a a DET asir-4886 24 8 bispectrum bispectrum NOUN asir-4886 24 9 noise noise NOUN asir-4886 24 10 that that PRON asir-4886 24 11 takes take VERB asir-4886 24 12 the the DET asir-4886 24 13 www.scholink.org/ojs/index.php/asir www.scholink.org/ojs/index.php/asir NOUN asir-4886 24 14 applied apply VERB asir-4886 24 15 science science NOUN asir-4886 24 16 and and CCONJ asir-4886 24 17 innovative innovative ADJ asir-4886 24 18 research research NOUN asir-4886 24 19 vol vol NOUN asir-4886 24 20 . . PROPN asir-4886 25 1 6 6 NUM asir-4886 25 2 , , PUNCT asir-4886 25 3 no no INTJ asir-4886 25 4 . . NOUN asir-4886 25 5 3 3 NUM asir-4886 25 6 , , PUNCT asir-4886 25 7 2022 2022 NUM asir-4886 25 8 23 23 NUM asir-4886 25 9 published publish VERB asir-4886 25 10 by by ADP asir-4886 25 11 scholink scholink PROPN asir-4886 25 12 inc inc PROPN asir-4886 25 13 . . PROPN asir-4886 25 14 triple triple ADJ asir-4886 25 15 product product NOUN asir-4886 25 16 of of ADP asir-4886 25 17 the the DET asir-4886 25 18 3 3 NUM asir-4886 25 19 ideal ideal ADJ asir-4886 25 20 visibilities visibility NOUN asir-4886 25 21 , , PUNCT asir-4886 25 22 which which PRON asir-4886 25 23 are be AUX asir-4886 25 24 ideal ideal ADJ asir-4886 25 25 fourier fourier ADJ asir-4886 25 26 components component NOUN asir-4886 25 27 of of ADP asir-4886 25 28 the the DET asir-4886 25 29 source source NOUN asir-4886 25 30 image image NOUN asir-4886 25 31 at at ADP asir-4886 25 32 the the DET asir-4886 25 33 respective respective ADJ asir-4886 25 34 coordinates coordinate NOUN asir-4886 25 35 calculated calculate VERB asir-4886 25 36 by by ADP asir-4886 25 37 their their PRON asir-4886 25 38 respective respective ADJ asir-4886 25 39 measured measure VERB asir-4886 25 40 fourier fourier NOUN asir-4886 25 41 components component NOUN asir-4886 25 42 with with ADP asir-4886 25 43 𝛀𝑖,𝑗 𝛀𝑖,𝑗 PROPN asir-4886 25 44 π‘šπ‘’π‘Žπ‘ π›€ π‘šπ‘’π‘Žπ‘ π›€ PROPN asir-4886 26 1 𝑗,π‘˜ 𝑗,π‘˜ VERB asir-4886 26 2 π‘šπ‘’π‘Žπ‘ π›€π‘˜,𝑖 π‘šπ‘’π‘Žπ‘ π›€π‘˜,𝑖 NOUN asir-4886 26 3 π‘šπ‘’π‘Žπ‘  π‘šπ‘’π‘Žπ‘  NOUN asir-4886 26 4 = = PUNCT asir-4886 26 5 𝑒 𝑒 X asir-4886 26 6 𝑖(πœ‘π‘–βˆ’πœ‘π‘— 𝑖(πœ‘π‘–βˆ’πœ‘π‘— PUNCT asir-4886 26 7 ) ) PUNCT asir-4886 27 1 𝛀𝑖,𝑗 𝛀𝑖,𝑗 PROPN asir-4886 27 2 π‘–π‘‘π‘’π‘Žπ‘™π‘’ π‘–π‘‘π‘’π‘Žπ‘™π‘’ NOUN asir-4886 27 3 𝑖(πœ‘π‘—βˆ’πœ‘π‘˜ 𝑖(πœ‘π‘—βˆ’πœ‘π‘˜ PUNCT asir-4886 27 4 ) ) PUNCT asir-4886 28 1 𝛀𝑗,π‘˜ 𝛀𝑗,π‘˜ PROPN asir-4886 28 2 π‘–π‘‘π‘’π‘Žπ‘™π‘’ π‘–π‘‘π‘’π‘Žπ‘™π‘’ NOUN asir-4886 28 3 𝑖(πœ‘π‘˜βˆ’πœ‘π‘– 𝑖(πœ‘π‘˜βˆ’πœ‘π‘– PUNCT asir-4886 28 4 ) ) PUNCT asir-4886 28 5 π›€π‘˜,𝑖 π›€π‘˜,𝑖 NOUN asir-4886 28 6 π‘–π‘‘π‘’π‘Žπ‘™ π‘–π‘‘π‘’π‘Žπ‘™ VERB asir-4886 28 7 = = PUNCT asir-4886 28 8 𝛀𝑖,𝑗 𝛀𝑖,𝑗 PROPN asir-4886 28 9 π‘–π‘‘π‘’π‘Žπ‘™π›€ π‘–π‘‘π‘’π‘Žπ‘™π›€ PROPN asir-4886 28 10 𝑗,π‘˜ 𝑗,π‘˜ VERB asir-4886 28 11 π‘–π‘‘π‘’π‘Žπ‘˜π›€π‘˜,𝑖 π‘–π‘‘π‘’π‘Žπ‘˜π›€π‘˜,𝑖 NOUN asir-4886 28 12 π‘–π‘‘π‘’π‘Žπ‘™ π‘–π‘‘π‘’π‘Žπ‘™ VERB asir-4886 28 13 , , PUNCT asir-4886 28 14 and and CCONJ asir-4886 28 15 then then ADV asir-4886 28 16 multiplies multiply VERB asir-4886 28 17 the the DET asir-4886 28 18 noise noise NOUN asir-4886 28 19 on on ADP asir-4886 28 20 one one NUM asir-4886 28 21 bispectrum bispectrum NOUN asir-4886 28 22 ( ( PUNCT asir-4886 28 23 bouman bouman PROPN asir-4886 28 24 , , PUNCT asir-4886 28 25 katherine katherine PROPN asir-4886 28 26 , , PUNCT asir-4886 28 27 johnson johnson PROPN asir-4886 28 28 , , PUNCT asir-4886 28 29 michael michael PROPN asir-4886 28 30 , , PUNCT asir-4886 28 31 zoran zoran PROPN asir-4886 28 32 , , PUNCT asir-4886 28 33 daniel daniel PROPN asir-4886 28 34 , , PUNCT asir-4886 28 35 fish fish NOUN asir-4886 28 36 , , PUNCT asir-4886 28 37 vincent vincent PROPN asir-4886 28 38 , , PUNCT asir-4886 28 39 doeleman doeleman NOUN asir-4886 28 40 , , PUNCT asir-4886 28 41 sheperd sheperd NOUN asir-4886 28 42 , , PUNCT asir-4886 28 43 & & CCONJ asir-4886 28 44 freeman freeman PROPN asir-4886 28 45 , , PUNCT asir-4886 28 46 william william PROPN asir-4886 28 47 , , PUNCT asir-4886 28 48 2016 2016 NUM asir-4886 28 49 ) ) PUNCT asir-4886 28 50 . . PUNCT asir-4886 29 1 together together ADV asir-4886 29 2 , , PUNCT asir-4886 29 3 these these DET asir-4886 29 4 2 2 NUM asir-4886 29 5 error error NOUN asir-4886 29 6 factors factor NOUN asir-4886 29 7 approximate approximate VERB asir-4886 29 8 the the DET asir-4886 29 9 gain gain NOUN asir-4886 29 10 error error NOUN asir-4886 29 11 distribution distribution NOUN asir-4886 29 12 of of ADP asir-4886 29 13 the the DET asir-4886 29 14 image image NOUN asir-4886 29 15 prior prior ADV asir-4886 29 16 . . PUNCT asir-4886 30 1 with with ADP asir-4886 30 2 these these DET asir-4886 30 3 2 2 NUM asir-4886 30 4 error error NOUN asir-4886 30 5 factors factor NOUN asir-4886 30 6 added add VERB asir-4886 30 7 and and CCONJ asir-4886 30 8 synchronised synchronise VERB asir-4886 30 9 , , PUNCT asir-4886 30 10 the the DET asir-4886 30 11 data datum NOUN asir-4886 30 12 produced produce VERB asir-4886 30 13 can can AUX asir-4886 30 14 now now ADV asir-4886 30 15 be be AUX asir-4886 30 16 used use VERB asir-4886 30 17 and and CCONJ asir-4886 30 18 calculated calculate VERB asir-4886 30 19 as as ADP asir-4886 30 20 data datum NOUN asir-4886 30 21 collected collect VERB asir-4886 30 22 with with ADP asir-4886 30 23 a a DET asir-4886 30 24 single single ADJ asir-4886 30 25 telescope telescope NOUN asir-4886 30 26 . . PUNCT asir-4886 31 1 using use VERB asir-4886 31 2 data datum NOUN asir-4886 31 3 created create VERB asir-4886 31 4 with with ADP asir-4886 31 5 this this DET asir-4886 31 6 method method NOUN asir-4886 31 7 , , PUNCT asir-4886 31 8 we we PRON asir-4886 31 9 can can AUX asir-4886 31 10 simply simply ADV asir-4886 31 11 use use VERB asir-4886 31 12 astronomical astronomical ADJ asir-4886 31 13 interferometry interferometry NOUN asir-4886 31 14 , , PUNCT asir-4886 31 15 superimposing superimpose VERB asir-4886 31 16 the the DET asir-4886 31 17 radio radio NOUN asir-4886 31 18 waves wave NOUN asir-4886 31 19 to to PART asir-4886 31 20 extract extract VERB asir-4886 31 21 visual visual ADJ asir-4886 31 22 signals signal NOUN asir-4886 31 23 from from ADP asir-4886 31 24 the the DET asir-4886 31 25 data datum NOUN asir-4886 31 26 , , PUNCT asir-4886 31 27 to to PART asir-4886 31 28 picture picture VERB asir-4886 31 29 far far ADV asir-4886 31 30 away away ADV asir-4886 31 31 stars star NOUN asir-4886 31 32 and and CCONJ asir-4886 31 33 other other ADJ asir-4886 31 34 astronomical astronomical ADJ asir-4886 31 35 objects object NOUN asir-4886 31 36 , , PUNCT asir-4886 31 37 such such ADJ asir-4886 31 38 as as ADP asir-4886 31 39 the the DET asir-4886 31 40 black black ADJ asir-4886 31 41 hole hole NOUN asir-4886 31 42 . . PUNCT asir-4886 32 1 the the DET asir-4886 32 2 event event NOUN asir-4886 32 3 horizon horizon PROPN asir-4886 32 4 telescope telescope NOUN asir-4886 32 5 , , PUNCT asir-4886 32 6 which which PRON asir-4886 32 7 uses use VERB asir-4886 32 8 vlbi vlbi PROPN asir-4886 32 9 data datum NOUN asir-4886 32 10 collected collect VERB asir-4886 32 11 from from ADP asir-4886 32 12 8 8 NUM asir-4886 32 13 radio radio NOUN asir-4886 32 14 telescope telescope NOUN asir-4886 32 15 arrays array VERB asir-4886 32 16 ( ( PUNCT asir-4886 32 17 figure figure NOUN asir-4886 32 18 1 1 NUM asir-4886 32 19 ) ) PUNCT asir-4886 32 20 around around ADP asir-4886 32 21 the the DET asir-4886 32 22 globe globe NOUN asir-4886 32 23 , , PUNCT asir-4886 32 24 successfully successfully ADV asir-4886 32 25 captured capture VERB asir-4886 32 26 an an DET asir-4886 32 27 image image NOUN asir-4886 32 28 of of ADP asir-4886 32 29 the the DET asir-4886 32 30 black black ADJ asir-4886 32 31 hole hole NOUN asir-4886 32 32 in in ADP asir-4886 32 33 2019 2019 NUM asir-4886 32 34 ( ( PUNCT asir-4886 32 35 figure figure NOUN asir-4886 32 36 2 2 NUM asir-4886 32 37 ) ) PUNCT asir-4886 32 38 . . PUNCT asir-4886 33 1 in in ADP asir-4886 33 2 creating create VERB asir-4886 33 3 this this DET asir-4886 33 4 image image NOUN asir-4886 33 5 , , PUNCT asir-4886 33 6 the the DET asir-4886 33 7 eht eht PROPN asir-4886 33 8 team team NOUN asir-4886 33 9 employed employ VERB asir-4886 33 10 a a DET asir-4886 33 11 special special ADJ asir-4886 33 12 algorithm algorithm NOUN asir-4886 33 13 to to PART asir-4886 33 14 combat combat VERB asir-4886 33 15 the the DET asir-4886 33 16 issues issue NOUN asir-4886 33 17 such such ADJ asir-4886 33 18 as as ADP asir-4886 33 19 delays delay NOUN asir-4886 33 20 caused cause VERB asir-4886 33 21 by by ADP asir-4886 33 22 atmospheric atmospheric ADJ asir-4886 33 23 noise noise NOUN asir-4886 33 24 , , PUNCT asir-4886 33 25 which which PRON asir-4886 33 26 significantly significantly ADV asir-4886 33 27 decreases decrease VERB asir-4886 33 28 accuracy accuracy NOUN asir-4886 33 29 of of ADP asir-4886 33 30 the the DET asir-4886 33 31 images image NOUN asir-4886 33 32 . . PUNCT asir-4886 34 1 this this DET asir-4886 34 2 algorithm algorithm NOUN asir-4886 34 3 is be AUX asir-4886 34 4 one one NUM asir-4886 34 5 that that PRON asir-4886 34 6 we we PRON asir-4886 34 7 will will AUX asir-4886 34 8 examine examine VERB asir-4886 34 9 further far ADV asir-4886 34 10 in in ADP asir-4886 34 11 the the DET asir-4886 34 12 following follow VERB asir-4886 34 13 sections section NOUN asir-4886 34 14 , , PUNCT asir-4886 34 15 and and CCONJ asir-4886 34 16 try try VERB asir-4886 34 17 to to PART asir-4886 34 18 improve improve VERB asir-4886 34 19 upon upon SCONJ asir-4886 34 20 to to PART asir-4886 34 21 retain retain VERB asir-4886 34 22 even even ADV asir-4886 34 23 more more ADJ asir-4886 34 24 information information NOUN asir-4886 34 25 . . PUNCT asir-4886 35 1 figure figure NOUN asir-4886 35 2 2 2 NUM asir-4886 35 3 . . PUNCT asir-4886 35 4 image image NOUN asir-4886 35 5 of of ADP asir-4886 35 6 the the DET asir-4886 35 7 messier messy ADJ asir-4886 35 8 87 87 NUM asir-4886 35 9 blackhole blackhole NOUN asir-4886 35 10 captured capture VERB asir-4886 35 11 by by ADP asir-4886 35 12 the the DET asir-4886 35 13 event event NOUN asir-4886 35 14 horizon horizon NOUN asir-4886 35 15 telescope telescope NOUN asir-4886 35 16 with with ADP asir-4886 35 17 vlbi vlbi PROPN asir-4886 35 18 technology technology PROPN asir-4886 35 19 and and CCONJ asir-4886 35 20 chirp chirp ADJ asir-4886 35 21 algorithm algorithm NOUN asir-4886 35 22 2 2 NUM asir-4886 35 23 . . PUNCT asir-4886 35 24 method method NOUN asir-4886 35 25 to to PART asir-4886 35 26 better well ADV asir-4886 35 27 understand understand VERB asir-4886 35 28 the the DET asir-4886 35 29 way way NOUN asir-4886 35 30 eht eht NOUN asir-4886 35 31 creates create VERB asir-4886 35 32 images image NOUN asir-4886 35 33 with with ADP asir-4886 35 34 vlbi vlbi NOUN asir-4886 35 35 and and CCONJ asir-4886 35 36 its its PRON asir-4886 35 37 algorithms algorithm NOUN asir-4886 35 38 , , PUNCT asir-4886 35 39 we we PRON asir-4886 35 40 examine examine VERB asir-4886 35 41 some some DET asir-4886 35 42 sample sample NOUN asir-4886 35 43 data datum NOUN asir-4886 35 44 and and CCONJ asir-4886 35 45 simulate simulate VERB asir-4886 35 46 the the DET asir-4886 35 47 image image NOUN asir-4886 35 48 creation creation NOUN asir-4886 35 49 with with ADP asir-4886 35 50 python python NOUN asir-4886 35 51 and and CCONJ asir-4886 35 52 the the DET asir-4886 35 53 ehtim ehtim ADJ asir-4886 35 54 package package NOUN asir-4886 35 55 ( ( PUNCT asir-4886 35 56 bouman bouman PROPN asir-4886 35 57 , , PUNCT asir-4886 35 58 katherine katherine PROPN asir-4886 35 59 , , PUNCT asir-4886 35 60 johnson johnson PROPN asir-4886 35 61 , , PUNCT asir-4886 35 62 michael michael PROPN asir-4886 35 63 , , PUNCT asir-4886 35 64 zoran zoran PROPN asir-4886 35 65 , , PUNCT asir-4886 35 66 daniel daniel PROPN asir-4886 35 67 , , PUNCT asir-4886 35 68 fish fish NOUN asir-4886 35 69 , , PUNCT asir-4886 35 70 vincent vincent PROPN asir-4886 35 71 , , PUNCT asir-4886 35 72 doeleman doeleman NOUN asir-4886 35 73 , , PUNCT asir-4886 35 74 sheperd sheperd NOUN asir-4886 35 75 , , PUNCT asir-4886 35 76 & & CCONJ asir-4886 35 77 freeman freeman PROPN asir-4886 35 78 , , PUNCT asir-4886 35 79 william william PROPN asir-4886 35 80 , , PUNCT asir-4886 35 81 2016 2016 NUM asir-4886 35 82 ) ) PUNCT asir-4886 35 83 , , PUNCT asir-4886 35 84 which which PRON asir-4886 35 85 www.scholink.org/ojs/index.php/asir www.scholink.org/ojs/index.php/asir NOUN asir-4886 35 86 applied apply VERB asir-4886 35 87 science science NOUN asir-4886 35 88 and and CCONJ asir-4886 35 89 innovative innovative ADJ asir-4886 35 90 research research NOUN asir-4886 35 91 vol vol NOUN asir-4886 35 92 . . PROPN asir-4886 36 1 6 6 NUM asir-4886 36 2 , , PUNCT asir-4886 36 3 no no INTJ asir-4886 36 4 . . NOUN asir-4886 36 5 3 3 NUM asir-4886 36 6 , , PUNCT asir-4886 36 7 2022 2022 NUM asir-4886 36 8 24 24 NUM asir-4886 36 9 published publish VERB asir-4886 36 10 by by ADP asir-4886 36 11 scholink scholink PROPN asir-4886 36 12 inc inc PROPN asir-4886 36 13 . . PROPN asir-4886 36 14 allows allow VERB asir-4886 36 15 us we PRON asir-4886 36 16 to to PART asir-4886 36 17 simulate simulate VERB asir-4886 36 18 and and CCONJ asir-4886 36 19 manipulate manipulate VERB asir-4886 36 20 vlbi vlbi PROPN asir-4886 36 21 data data PROPN asir-4886 36 22 . . PUNCT asir-4886 37 1 the the DET asir-4886 37 2 ehtim ehtim PROPN asir-4886 37 3 plug plug NOUN asir-4886 37 4 - - PUNCT asir-4886 37 5 in in ADP asir-4886 37 6 utilizes utilize VERB asir-4886 37 7 the the DET asir-4886 37 8 pynfft pynfft NOUN asir-4886 37 9 module module NOUN asir-4886 37 10 to to PART asir-4886 37 11 complete complete VERB asir-4886 37 12 fourier fourier NOUN asir-4886 37 13 transformations transformation NOUN asir-4886 37 14 and and CCONJ asir-4886 37 15 deconstruct deconstruct VERB asir-4886 37 16 the the DET asir-4886 37 17 frequencies frequency NOUN asir-4886 37 18 of of ADP asir-4886 37 19 light light NOUN asir-4886 37 20 emitted emit VERB asir-4886 37 21 . . PUNCT asir-4886 38 1 the the DET asir-4886 38 2 ehtim ehtim ADJ asir-4886 38 3 package package NOUN asir-4886 38 4 synthesizes synthesize VERB asir-4886 38 5 the the DET asir-4886 38 6 vlbi vlbi PROPN asir-4886 38 7 data datum NOUN asir-4886 38 8 given give VERB asir-4886 38 9 custom custom NOUN asir-4886 38 10 targets target NOUN asir-4886 38 11 and and CCONJ asir-4886 38 12 reconstructs reconstruct VERB asir-4886 38 13 images image NOUN asir-4886 38 14 of of ADP asir-4886 38 15 the the DET asir-4886 38 16 targets target NOUN asir-4886 38 17 from from ADP asir-4886 38 18 the the DET asir-4886 38 19 vlbi vlbi PROPN asir-4886 38 20 data data PROPN asir-4886 38 21 . . PUNCT asir-4886 39 1 the the DET asir-4886 39 2 function function NOUN asir-4886 39 3 in in ADP asir-4886 39 4 ehtim ehtim ADJ asir-4886 39 5 that that PRON asir-4886 39 6 visualizes visualize VERB asir-4886 39 7 the the DET asir-4886 39 8 imaged imaged ADJ asir-4886 39 9 target target NOUN asir-4886 39 10 is be AUX asir-4886 39 11 called call VERB asir-4886 39 12 im_display im_display NOUN asir-4886 39 13 . . PUNCT asir-4886 40 1 in in ADP asir-4886 40 2 the the DET asir-4886 40 3 im_display im_display NOUN asir-4886 40 4 function function NOUN asir-4886 40 5 , , PUNCT asir-4886 40 6 the the DET asir-4886 40 7 program program NOUN asir-4886 40 8 reads read VERB asir-4886 40 9 the the DET asir-4886 40 10 .txt .txt ADJ asir-4886 40 11 file file NOUN asir-4886 40 12 data datum NOUN asir-4886 40 13 using use VERB asir-4886 40 14 the the DET asir-4886 40 15 load_text load_text ADJ asir-4886 40 16 and and CCONJ asir-4886 40 17 load_array_text load_array_text PROPN asir-4886 40 18 function function NOUN asir-4886 40 19 , , PUNCT asir-4886 40 20 the the DET asir-4886 40 21 eht eht PROPN asir-4886 40 22 algorithm algorithm PROPN asir-4886 40 23 visualizes visualize VERB asir-4886 40 24 a a DET asir-4886 40 25 rough rough ADJ asir-4886 40 26 image image NOUN asir-4886 40 27 of of ADP asir-4886 40 28 the the DET asir-4886 40 29 photographed photograph VERB asir-4886 40 30 object object NOUN asir-4886 40 31 ( ( PUNCT asir-4886 40 32 figure figure NOUN asir-4886 40 33 3 3 NUM asir-4886 40 34 ) ) PUNCT asir-4886 40 35 . . PUNCT asir-4886 41 1 figure figure VERB asir-4886 41 2 3 3 NUM asir-4886 41 3 . . PUNCT asir-4886 41 4 initial initial ADJ asir-4886 41 5 image image NOUN asir-4886 41 6 generated generate VERB asir-4886 41 7 by by ADP asir-4886 41 8 the the DET asir-4886 41 9 im_display im_display NOUN asir-4886 41 10 function function NOUN asir-4886 41 11 , , PUNCT asir-4886 41 12 in in ADP asir-4886 41 13 terms term NOUN asir-4886 41 14 of of ADP asir-4886 41 15 right right ADJ asir-4886 41 16 ascension ascension NOUN asir-4886 41 17 and and CCONJ asir-4886 41 18 declinition declinition NOUN asir-4886 41 19 . . PUNCT asir-4886 42 1 the the DET asir-4886 42 2 color color NOUN asir-4886 42 3 bar bar NOUN asir-4886 42 4 on on ADP asir-4886 42 5 the the DET asir-4886 42 6 right right NOUN asir-4886 42 7 is be AUX asir-4886 42 8 on on ADP asir-4886 42 9 a a DET asir-4886 42 10 scale scale NOUN asir-4886 42 11 of of ADP asir-4886 42 12 jansky jansky NOUN asir-4886 42 13 / / SYM asir-4886 42 14 pixel pixel PROPN asir-4886 42 15 , , PUNCT asir-4886 42 16 or or CCONJ asir-4886 42 17 unit unit NOUN asir-4886 42 18 radiation radiation NOUN asir-4886 42 19 density density NOUN asir-4886 42 20 per per ADP asir-4886 42 21 pixel pixel NOUN asir-4886 42 22 the the DET asir-4886 42 23 function function NOUN asir-4886 42 24 im_observe im_observe AUX asir-4886 42 25 realistically realistically ADV asir-4886 42 26 synthesizes synthesize VERB asir-4886 42 27 the the DET asir-4886 42 28 vlbi vlbi PROPN asir-4886 42 29 measurements measurement NOUN asir-4886 42 30 . . PUNCT asir-4886 43 1 there there PRON asir-4886 43 2 are be VERB asir-4886 43 3 several several ADJ asir-4886 43 4 functions function NOUN asir-4886 43 5 and and CCONJ asir-4886 43 6 parameters parameter NOUN asir-4886 43 7 that that SCONJ asir-4886 43 8 we we PRON asir-4886 43 9 can can AUX asir-4886 43 10 manipulate manipulate VERB asir-4886 43 11 with with ADP asir-4886 43 12 the the DET asir-4886 43 13 simulated simulate VERB asir-4886 43 14 data datum NOUN asir-4886 43 15 , , PUNCT asir-4886 43 16 which which PRON asir-4886 43 17 will will AUX asir-4886 43 18 change change VERB asir-4886 43 19 different different ADJ asir-4886 43 20 aspects aspect NOUN asir-4886 43 21 of of ADP asir-4886 43 22 the the DET asir-4886 43 23 resulting result VERB asir-4886 43 24 image image NOUN asir-4886 43 25 . . PUNCT asir-4886 44 1 the the DET asir-4886 44 2 im_observe im_observe NOUN asir-4886 44 3 function function NOUN asir-4886 44 4 allows allow VERB asir-4886 44 5 us we PRON asir-4886 44 6 to to PART asir-4886 44 7 observe observe VERB asir-4886 44 8 the the DET asir-4886 44 9 image image NOUN asir-4886 44 10 given give VERB asir-4886 44 11 some some DET asir-4886 44 12 key key ADJ asir-4886 44 13 observation observation NOUN asir-4886 44 14 specifications specification NOUN asir-4886 44 15 , , PUNCT asir-4886 44 16 such such ADJ asir-4886 44 17 as as ADP asir-4886 44 18 integration integration NOUN asir-4886 44 19 time time NOUN asir-4886 44 20 , , PUNCT asir-4886 44 21 advance advance NOUN asir-4886 44 22 time time NOUN asir-4886 44 23 and and CCONJ asir-4886 44 24 bandwidth bandwidth ADJ asir-4886 44 25 . . PUNCT asir-4886 45 1 changing change VERB asir-4886 45 2 parameters parameter NOUN asir-4886 45 3 sgrscat sgrscat ADV asir-4886 45 4 ( ( PUNCT asir-4886 45 5 figure figure NOUN asir-4886 45 6 4 4 NUM asir-4886 45 7 ) ) PUNCT asir-4886 45 8 , , PUNCT asir-4886 45 9 phasecal phasecal ADJ asir-4886 45 10 ( ( PUNCT asir-4886 45 11 figure figure NOUN asir-4886 45 12 5 5 NUM asir-4886 45 13 ) ) PUNCT asir-4886 45 14 and and CCONJ asir-4886 45 15 ampcal ampcal ADJ asir-4886 45 16 ( ( PUNCT asir-4886 45 17 figure figure NOUN asir-4886 45 18 6 6 NUM asir-4886 45 19 ) ) PUNCT asir-4886 45 20 will will AUX asir-4886 45 21 alter alter VERB asir-4886 45 22 the the DET asir-4886 45 23 image image NOUN asir-4886 45 24 by by ADP asir-4886 45 25 adding add VERB asir-4886 45 26 blur blur NOUN asir-4886 45 27 with with ADP asir-4886 45 28 the the DET asir-4886 45 29 sgr sgr PROPN asir-4886 45 30 a a PROPN asir-4886 45 31 * * X asir-4886 45 32 kernel kernel PROPN asir-4886 45 33 , , PUNCT asir-4886 45 34 gaussian gaussian ADJ asir-4886 45 35 errors error NOUN asir-4886 45 36 and and CCONJ asir-4886 45 37 station station NOUN asir-4886 45 38 - - PUNCT asir-4886 45 39 based base VERB asir-4886 45 40 random random ADJ asir-4886 45 41 phases phase NOUN asir-4886 45 42 . . PUNCT asir-4886 46 1 these these PRON asir-4886 46 2 can can AUX asir-4886 46 3 help help VERB asir-4886 46 4 with with ADP asir-4886 46 5 the the DET asir-4886 46 6 accuracy accuracy NOUN asir-4886 46 7 of of ADP asir-4886 46 8 the the DET asir-4886 46 9 image image NOUN asir-4886 46 10 based base VERB asir-4886 46 11 on on ADP asir-4886 46 12 the the DET asir-4886 46 13 consideration consideration NOUN asir-4886 46 14 of of ADP asir-4886 46 15 image image NOUN asir-4886 46 16 frequency frequency NOUN asir-4886 46 17 , , PUNCT asir-4886 46 18 gain gain VERB asir-4886 46 19 variations variation NOUN asir-4886 46 20 , , PUNCT asir-4886 46 21 and and CCONJ asir-4886 46 22 phase phase NOUN asir-4886 46 23 errors error NOUN asir-4886 46 24 . . PUNCT asir-4886 47 1 in in ADP asir-4886 47 2 addition addition NOUN asir-4886 47 3 , , PUNCT asir-4886 47 4 we we PRON asir-4886 47 5 can can AUX asir-4886 47 6 use use VERB asir-4886 47 7 function function NOUN asir-4886 47 8 obs.deblur obs.deblur NUM asir-4886 47 9 ( ( PUNCT asir-4886 47 10 figure figure NOUN asir-4886 47 11 1 1 NUM asir-4886 47 12 ) ) PUNCT asir-4886 47 13 to to PART asir-4886 47 14 reduce reduce VERB asir-4886 47 15 the the DET asir-4886 47 16 blur blur NOUN asir-4886 47 17 through through ADP asir-4886 47 18 the the DET asir-4886 47 19 dividing dividing NOUN asir-4886 47 20 blur blur NOUN asir-4886 47 21 by by ADP asir-4886 47 22 scattering scatter VERB asir-4886 47 23 kernels kernel NOUN asir-4886 47 24 ( ( PUNCT asir-4886 47 25 bouman bouman PROPN asir-4886 47 26 , , PUNCT asir-4886 47 27 katherine katherine PROPN asir-4886 47 28 , , PUNCT asir-4886 47 29 johnson johnson PROPN asir-4886 47 30 , , PUNCT asir-4886 47 31 michael michael PROPN asir-4886 47 32 , , PUNCT asir-4886 47 33 zoran zoran PROPN asir-4886 47 34 , , PUNCT asir-4886 47 35 daniel daniel PROPN asir-4886 47 36 , , PUNCT asir-4886 47 37 fish fish NOUN asir-4886 47 38 , , PUNCT asir-4886 47 39 vincent vincent PROPN asir-4886 47 40 , , PUNCT asir-4886 47 41 doeleman doeleman NOUN asir-4886 47 42 , , PUNCT asir-4886 47 43 sheperd sheperd NOUN asir-4886 47 44 , , PUNCT asir-4886 47 45 & & CCONJ asir-4886 47 46 freeman freeman PROPN asir-4886 47 47 , , PUNCT asir-4886 47 48 william william PROPN asir-4886 47 49 , , PUNCT asir-4886 47 50 2016 2016 NUM asir-4886 47 51 ) ) PUNCT asir-4886 47 52 . . PUNCT asir-4886 48 1 www.scholink.org/ojs/index.php/asir www.scholink.org/ojs/index.php/asir PROPN asir-4886 48 2 applied apply VERB asir-4886 48 3 science science NOUN asir-4886 48 4 and and CCONJ asir-4886 48 5 innovative innovative ADJ asir-4886 48 6 research research NOUN asir-4886 48 7 vol vol NOUN asir-4886 48 8 . . PROPN asir-4886 49 1 6 6 NUM asir-4886 49 2 , , PUNCT asir-4886 49 3 no no INTJ asir-4886 49 4 . . NOUN asir-4886 49 5 3 3 NUM asir-4886 49 6 , , PUNCT asir-4886 49 7 2022 2022 NUM asir-4886 49 8 25 25 NUM asir-4886 49 9 published publish VERB asir-4886 49 10 by by ADP asir-4886 49 11 scholink scholink PROPN asir-4886 49 12 inc inc PROPN asir-4886 49 13 . . PROPN asir-4886 49 14 figure figure NOUN asir-4886 49 15 4 4 NUM asir-4886 49 16 . . PUNCT asir-4886 49 17 image image NOUN asir-4886 49 18 generated generate VERB asir-4886 49 19 after after ADP asir-4886 49 20 altering alter VERB asir-4886 49 21 the the DET asir-4886 49 22 sgrscat sgrscat ADJ asir-4886 49 23 parameter parameter NOUN asir-4886 49 24 to to ADP asir-4886 49 25 false false ADJ asir-4886 49 26 , , PUNCT asir-4886 49 27 which which PRON asir-4886 49 28 adds add VERB asir-4886 49 29 a a DET asir-4886 49 30 blur blur NOUN asir-4886 49 31 to to ADP asir-4886 49 32 the the DET asir-4886 49 33 image image NOUN asir-4886 49 34 based base VERB asir-4886 49 35 on on ADP asir-4886 49 36 the the DET asir-4886 49 37 radio radio NOUN asir-4886 49 38 wavelength wavelength NOUN asir-4886 49 39 of of ADP asir-4886 49 40 sagittarius sagittarius PROPN asir-4886 49 41 a a PROPN asir-4886 49 42 ( ( PUNCT asir-4886 49 43 sgr sgr PROPN asir-4886 49 44 a a PRON asir-4886 49 45 ) ) PUNCT asir-4886 49 46 figure figure NOUN asir-4886 49 47 5 5 NUM asir-4886 49 48 . . PUNCT asir-4886 49 49 image image NOUN asir-4886 49 50 generated generate VERB asir-4886 49 51 after after ADP asir-4886 49 52 altering alter VERB asir-4886 49 53 the the DET asir-4886 49 54 phasecal phasecal ADJ asir-4886 49 55 parameter parameter NOUN asir-4886 49 56 to to ADP asir-4886 49 57 false false ADJ asir-4886 49 58 , , PUNCT asir-4886 49 59 which which PRON asir-4886 49 60 removes remove VERB asir-4886 49 61 the the DET asir-4886 49 62 station station NOUN asir-4886 49 63 - - PUNCT asir-4886 49 64 based base VERB asir-4886 49 65 random random ADJ asir-4886 49 66 phases phase NOUN asir-4886 49 67 and and CCONJ asir-4886 49 68 removes remove VERB asir-4886 49 69 correction correction NOUN asir-4886 49 70 towards towards ADP asir-4886 49 71 atmospherical atmospherical ADJ asir-4886 49 72 interference interference NOUN asir-4886 49 73 www.scholink.org/ojs/index.php/asir www.scholink.org/ojs/index.php/asir NOUN asir-4886 49 74 applied apply VERB asir-4886 49 75 science science NOUN asir-4886 49 76 and and CCONJ asir-4886 49 77 innovative innovative ADJ asir-4886 49 78 research research NOUN asir-4886 49 79 vol vol NOUN asir-4886 49 80 . . PROPN asir-4886 50 1 6 6 NUM asir-4886 50 2 , , PUNCT asir-4886 50 3 no no INTJ asir-4886 50 4 . . NOUN asir-4886 50 5 3 3 NUM asir-4886 50 6 , , PUNCT asir-4886 50 7 2022 2022 NUM asir-4886 50 8 26 26 NUM asir-4886 50 9 published publish VERB asir-4886 50 10 by by ADP asir-4886 50 11 scholink scholink PROPN asir-4886 50 12 inc inc PROPN asir-4886 50 13 . . PROPN asir-4886 50 14 figure figure NOUN asir-4886 50 15 6 6 NUM asir-4886 50 16 . . PUNCT asir-4886 50 17 image image NOUN asir-4886 50 18 generated generate VERB asir-4886 50 19 after after ADP asir-4886 50 20 altering alter VERB asir-4886 50 21 the the DET asir-4886 50 22 ampcal ampcal ADJ asir-4886 50 23 parameter parameter NOUN asir-4886 50 24 to to ADP asir-4886 50 25 false false ADJ asir-4886 50 26 , , PUNCT asir-4886 50 27 which which PRON asir-4886 50 28 removes remove VERB asir-4886 50 29 the the DET asir-4886 50 30 station station NOUN asir-4886 50 31 - - PUNCT asir-4886 50 32 based base VERB asir-4886 50 33 gaussian gaussian ADJ asir-4886 50 34 error error NOUN asir-4886 50 35 and and CCONJ asir-4886 50 36 removes remove VERB asir-4886 50 37 the the DET asir-4886 50 38 correction correction NOUN asir-4886 50 39 towards towards AUX asir-4886 50 40 gain gain VERB asir-4886 50 41 corruption corruption NOUN asir-4886 50 42 figure figure NOUN asir-4886 50 43 7 7 NUM asir-4886 50 44 . . PUNCT asir-4886 50 45 image image NOUN asir-4886 50 46 generated generate VERB asir-4886 50 47 after after SCONJ asir-4886 50 48 the the DET asir-4886 50 49 obs.deblur obs.deblur NUM asir-4886 50 50 function function NOUN asir-4886 50 51 was be AUX asir-4886 50 52 applied apply VERB asir-4886 50 53 in in ADP asir-4886 50 54 the the DET asir-4886 50 55 next next ADJ asir-4886 50 56 functions function NOUN asir-4886 50 57 , , PUNCT asir-4886 50 58 nominal nominal ADJ asir-4886 50 59 array array NOUN asir-4886 50 60 resolution resolution NOUN asir-4886 50 61 and and CCONJ asir-4886 50 62 beam beam NOUN asir-4886 50 63 parameters parameter NOUN asir-4886 50 64 are be AUX asir-4886 50 65 specified specify VERB asir-4886 50 66 . . PUNCT asir-4886 51 1 nominal nominal ADJ asir-4886 51 2 array array NOUN asir-4886 51 3 resolution resolution NOUN asir-4886 51 4 is be AUX asir-4886 51 5 the the DET asir-4886 51 6 desired desire VERB asir-4886 51 7 angular angular ADJ asir-4886 51 8 resolution resolution NOUN asir-4886 51 9 in in ADP asir-4886 51 10 terms term NOUN asir-4886 51 11 of of ADP asir-4886 51 12 the the DET asir-4886 51 13 maximum maximum ADJ asir-4886 51 14 achievable achievable ADJ asir-4886 51 15 resolution resolution NOUN asir-4886 51 16 . . PUNCT asir-4886 52 1 beam beam NOUN asir-4886 52 2 parameters parameter NOUN asir-4886 52 3 denote denote VERB asir-4886 52 4 the the DET asir-4886 52 5 gaussian gaussian ADJ asir-4886 52 6 beam beam NOUN asir-4886 52 7 ’s ’s PART asir-4886 52 8 properties property NOUN asir-4886 52 9 , , PUNCT asir-4886 52 10 based base VERB asir-4886 52 11 on on ADP asir-4886 52 12 wavelength wavelength NOUN asir-4886 52 13 , , PUNCT asir-4886 52 14 radius radius NOUN asir-4886 52 15 and and CCONJ asir-4886 52 16 refracture refracture NOUN asir-4886 52 17 . . PUNCT asir-4886 53 1 this this PRON asir-4886 53 2 is be AUX asir-4886 53 3 defined define VERB asir-4886 53 4 by by ADP asir-4886 53 5 parameters parameter NOUN asir-4886 53 6 pixel pixel PROPN asir-4886 53 7 size size NOUN asir-4886 53 8 ( ( PUNCT asir-4886 53 9 npix npix NOUN asir-4886 53 10 ) ) PUNCT asir-4886 53 11 and and CCONJ asir-4886 53 12 field field NOUN asir-4886 53 13 of of ADP asir-4886 53 14 view view NOUN asir-4886 53 15 ( ( PUNCT asir-4886 53 16 fov fov NOUN asir-4886 53 17 ) ) PUNCT asir-4886 53 18 ( ( PUNCT asir-4886 53 19 figure figure NOUN asir-4886 53 20 10 10 NUM asir-4886 53 21 ) ) PUNCT asir-4886 53 22 . . PUNCT asir-4886 54 1 www.scholink.org/ojs/index.php/asir www.scholink.org/ojs/index.php/asir PROPN asir-4886 54 2 applied apply VERB asir-4886 54 3 science science NOUN asir-4886 54 4 and and CCONJ asir-4886 54 5 innovative innovative ADJ asir-4886 54 6 research research NOUN asir-4886 54 7 vol vol NOUN asir-4886 54 8 . . PROPN asir-4886 55 1 6 6 NUM asir-4886 55 2 , , PUNCT asir-4886 55 3 no no INTJ asir-4886 55 4 . . NOUN asir-4886 55 5 3 3 NUM asir-4886 55 6 , , PUNCT asir-4886 55 7 2022 2022 NUM asir-4886 55 8 27 27 NUM asir-4886 55 9 published publish VERB asir-4886 55 10 by by ADP asir-4886 55 11 scholink scholink PROPN asir-4886 55 12 inc inc PROPN asir-4886 55 13 . . PROPN asir-4886 55 14 using use VERB asir-4886 55 15 functions function NOUN asir-4886 55 16 obs.dirtyimage obs.dirtyimage PRON asir-4886 55 17 , , PUNCT asir-4886 55 18 obs.dirtybeam obs.dirtybeam NUM asir-4886 55 19 , , PUNCT asir-4886 55 20 and and CCONJ asir-4886 55 21 obs.cleanbeam obs.cleanbeam NOUN asir-4886 55 22 , , PUNCT asir-4886 55 23 combined combine VERB asir-4886 55 24 with with ADP asir-4886 55 25 the the DET asir-4886 55 26 adjustments adjustment NOUN asir-4886 55 27 made make VERB asir-4886 55 28 with with ADP asir-4886 55 29 parameters parameter NOUN asir-4886 55 30 npix npix PROPN asir-4886 55 31 and and CCONJ asir-4886 55 32 fov fov PROPN asir-4886 55 33 , , PUNCT asir-4886 55 34 we we PRON asir-4886 55 35 can can AUX asir-4886 55 36 observe observe VERB asir-4886 55 37 the the DET asir-4886 55 38 image image NOUN asir-4886 55 39 in in ADP asir-4886 55 40 different different ADJ asir-4886 55 41 states state NOUN asir-4886 55 42 : : PUNCT asir-4886 55 43 as as ADP asir-4886 55 44 a a DET asir-4886 55 45 dirty dirty ADJ asir-4886 55 46 image image NOUN asir-4886 55 47 , , PUNCT asir-4886 55 48 with with ADP asir-4886 55 49 a a DET asir-4886 55 50 dirty dirty ADJ asir-4886 55 51 beam beam NOUN asir-4886 55 52 or or CCONJ asir-4886 55 53 a a DET asir-4886 55 54 clean clean ADJ asir-4886 55 55 beam beam NOUN asir-4886 55 56 . . PUNCT asir-4886 56 1 a a DET asir-4886 56 2 clean clean ADJ asir-4886 56 3 beam beam NOUN asir-4886 56 4 image image NOUN asir-4886 56 5 ( ( PUNCT asir-4886 56 6 figure figure NOUN asir-4886 56 7 7 7 NUM asir-4886 56 8 ) ) PUNCT asir-4886 56 9 is be AUX asir-4886 56 10 one one NUM asir-4886 56 11 that that PRON asir-4886 56 12 has have AUX asir-4886 56 13 been be AUX asir-4886 56 14 run run VERB asir-4886 56 15 through through ADP asir-4886 56 16 the the DET asir-4886 56 17 clean clean ADJ asir-4886 56 18 restoring restore VERB asir-4886 56 19 beam beam NOUN asir-4886 56 20 algorithm algorithm NOUN asir-4886 56 21 which which PRON asir-4886 56 22 suppresses suppress VERB asir-4886 56 23 high high ADJ asir-4886 56 24 spatial spatial ADJ asir-4886 56 25 frequencies frequency NOUN asir-4886 56 26 , , PUNCT asir-4886 56 27 and and CCONJ asir-4886 56 28 the the DET asir-4886 56 29 dirty dirty ADJ asir-4886 56 30 image image NOUN asir-4886 56 31 ( ( PUNCT asir-4886 56 32 figure figure NOUN asir-4886 56 33 8) 8) NUM asir-4886 56 34 is be AUX asir-4886 56 35 one one NUM asir-4886 56 36 that that PRON asir-4886 56 37 has have AUX asir-4886 56 38 not not PART asir-4886 56 39 been be AUX asir-4886 56 40 filtered filter VERB asir-4886 56 41 , , PUNCT asir-4886 56 42 causing cause VERB asir-4886 56 43 measurements measurement NOUN asir-4886 56 44 to to PART asir-4886 56 45 appear appear VERB asir-4886 56 46 inaccurate inaccurate ADJ asir-4886 56 47 . . PUNCT asir-4886 57 1 at at ADP asir-4886 57 2 different different ADJ asir-4886 57 3 fields field NOUN asir-4886 57 4 of of ADP asir-4886 57 5 view view NOUN asir-4886 57 6 . . PUNCT asir-4886 58 1 these these DET asir-4886 58 2 images image NOUN asir-4886 58 3 can can AUX asir-4886 58 4 then then ADV asir-4886 58 5 be be AUX asir-4886 58 6 displayed display VERB asir-4886 58 7 to to PART asir-4886 58 8 examine examine VERB asir-4886 58 9 the the DET asir-4886 58 10 different different ADJ asir-4886 58 11 results result NOUN asir-4886 58 12 . . PUNCT asir-4886 59 1 figure figure VERB asir-4886 59 2 8 8 NUM asir-4886 59 3 . . PUNCT asir-4886 60 1 image image NOUN asir-4886 60 2 generated generate VERB asir-4886 60 3 under under ADP asir-4886 60 4 the the DET asir-4886 60 5 dirty dirty ADJ asir-4886 60 6 image image NOUN asir-4886 60 7 conditions condition NOUN asir-4886 60 8 and and CCONJ asir-4886 60 9 a a DET asir-4886 60 10 widened widen VERB asir-4886 60 11 fov fov NOUN asir-4886 60 12 figure figure NOUN asir-4886 60 13 9 9 NUM asir-4886 60 14 . . PUNCT asir-4886 60 15 image image NOUN asir-4886 60 16 generated generate VERB asir-4886 60 17 under under ADP asir-4886 60 18 the the DET asir-4886 60 19 dirty dirty ADJ asir-4886 60 20 beam beam NOUN asir-4886 60 21 conditions condition NOUN asir-4886 60 22 and and CCONJ asir-4886 60 23 a a DET asir-4886 60 24 widened widen VERB asir-4886 60 25 fov fov NOUN asir-4886 60 26 www.scholink.org/ojs/index.php/asir www.scholink.org/ojs/index.php/asir NOUN asir-4886 60 27 applied apply VERB asir-4886 60 28 science science NOUN asir-4886 60 29 and and CCONJ asir-4886 60 30 innovative innovative ADJ asir-4886 60 31 research research NOUN asir-4886 60 32 vol vol NOUN asir-4886 60 33 . . PROPN asir-4886 61 1 6 6 NUM asir-4886 61 2 , , PUNCT asir-4886 61 3 no no INTJ asir-4886 61 4 . . NOUN asir-4886 61 5 3 3 NUM asir-4886 61 6 , , PUNCT asir-4886 61 7 2022 2022 NUM asir-4886 61 8 28 28 NUM asir-4886 61 9 published publish VERB asir-4886 61 10 by by ADP asir-4886 61 11 scholink scholink PROPN asir-4886 61 12 inc inc PROPN asir-4886 61 13 . . PROPN asir-4886 61 14 figure figure PROPN asir-4886 61 15 10 10 NUM asir-4886 61 16 . . PUNCT asir-4886 62 1 image image NOUN asir-4886 62 2 generated generate VERB asir-4886 62 3 under under ADP asir-4886 62 4 the the DET asir-4886 62 5 clean clean ADJ asir-4886 62 6 beam beam NOUN asir-4886 62 7 conditions condition NOUN asir-4886 62 8 and and CCONJ asir-4886 62 9 a a DET asir-4886 62 10 widened widen VERB asir-4886 62 11 fov fov NOUN asir-4886 62 12 there there PRON asir-4886 62 13 are be VERB asir-4886 62 14 a a DET asir-4886 62 15 few few ADJ asir-4886 62 16 more more ADJ asir-4886 62 17 functions function NOUN asir-4886 62 18 that that PRON asir-4886 62 19 each each DET asir-4886 62 20 tweak tweak NOUN asir-4886 62 21 specific specific ADJ asir-4886 62 22 features feature NOUN asir-4886 62 23 of of ADP asir-4886 62 24 the the DET asir-4886 62 25 photo photo NOUN asir-4886 62 26 . . PUNCT asir-4886 63 1 eh.image.make_square eh.image.make_square PROPN asir-4886 63 2 clears clear VERB asir-4886 63 3 all all DET asir-4886 63 4 preceding precede VERB asir-4886 63 5 inputs input NOUN asir-4886 63 6 , , PUNCT asir-4886 63 7 emptyprior.add_flat emptyprior.add_flat NOUN asir-4886 63 8 flattens flatten VERB asir-4886 63 9 ( ( PUNCT asir-4886 63 10 or or CCONJ asir-4886 63 11 combines combine VERB asir-4886 63 12 ) ) PUNCT asir-4886 63 13 all all DET asir-4886 63 14 prior prior ADJ asir-4886 63 15 inputs input NOUN asir-4886 63 16 , , PUNCT asir-4886 63 17 and and CCONJ asir-4886 63 18 emptyprior.add_gauss emptyprior.add_gauss ADV asir-4886 63 19 adds add VERB asir-4886 63 20 the the DET asir-4886 63 21 appropriate appropriate ADJ asir-4886 63 22 gaussian gaussian ADJ asir-4886 63 23 blur blur NOUN asir-4886 63 24 to to ADP asir-4886 63 25 the the DET asir-4886 63 26 prior prior ADJ asir-4886 63 27 inputs input NOUN asir-4886 63 28 . . PUNCT asir-4886 64 1 3 3 X asir-4886 64 2 . . NOUN asir-4886 64 3 result result NOUN asir-4886 64 4 as as SCONJ asir-4886 64 5 we we PRON asir-4886 64 6 are be AUX asir-4886 64 7 looking look VERB asir-4886 64 8 for for ADP asir-4886 64 9 the the DET asir-4886 64 10 maximum maximum NOUN asir-4886 64 11 a a DET asir-4886 64 12 posteriori posteriori NOUN asir-4886 64 13 estimation estimation NOUN asir-4886 64 14 for for ADP asir-4886 64 15 image image NOUN asir-4886 64 16 coefficients coefficient NOUN asir-4886 64 17 x x PUNCT asir-4886 64 18 and and CCONJ asir-4886 64 19 y y PROPN asir-4886 64 20 , , PUNCT asir-4886 64 21 we we PRON asir-4886 64 22 are be AUX asir-4886 64 23 essentially essentially ADV asir-4886 64 24 looking look VERB asir-4886 64 25 at at ADP asir-4886 64 26 an an DET asir-4886 64 27 optimization optimization NOUN asir-4886 64 28 problem problem NOUN asir-4886 64 29 of of ADP asir-4886 64 30 the the DET asir-4886 64 31 energy energy NOUN asir-4886 64 32 function function NOUN asir-4886 64 33 , , PUNCT asir-4886 64 34 given give VERB asir-4886 64 35 by by ADP asir-4886 64 36 fr(x|y fr(x|y NOUN asir-4886 64 37 ) ) PUNCT asir-4886 64 38 = = SYM asir-4886 64 39 βˆ’d(y|x βˆ’d(y|x PROPN asir-4886 64 40 ) ) PUNCT asir-4886 64 41 βˆ’ βˆ’ PROPN asir-4886 64 42 epllr(x epllr(x PROPN asir-4886 64 43 ) ) PUNCT asir-4886 64 44 , , PUNCT asir-4886 64 45 where where SCONJ asir-4886 64 46 epllr epllr NOUN asir-4886 64 47 is be AUX asir-4886 64 48 the the DET asir-4886 64 49 log log NOUN asir-4886 64 50 - - PUNCT asir-4886 64 51 likelihood likelihood NOUN asir-4886 64 52 of of ADP asir-4886 64 53 the the DET asir-4886 64 54 specific specific ADJ asir-4886 64 55 patch patch NOUN asir-4886 64 56 . . PUNCT asir-4886 65 1 this this PRON asir-4886 65 2 then then ADV asir-4886 65 3 makes make VERB asir-4886 65 4 it it PRON asir-4886 65 5 similar similar ADJ asir-4886 65 6 to to ADP asir-4886 65 7 a a DET asir-4886 65 8 bayesian bayesian ADJ asir-4886 65 9 posterior posterior ADJ asir-4886 65 10 probability probability NOUN asir-4886 65 11 of of ADP asir-4886 65 12 the the DET asir-4886 65 13 prior prior ADJ asir-4886 65 14 term term NOUN asir-4886 65 15 . . PUNCT asir-4886 66 1 d d NOUN asir-4886 66 2 is be AUX asir-4886 66 3 the the DET asir-4886 66 4 data data NOUN asir-4886 66 5 term term NOUN asir-4886 66 6 that that PRON asir-4886 66 7 is be AUX asir-4886 66 8 explained explain VERB asir-4886 66 9 below below ADV asir-4886 66 10 . . PUNCT asir-4886 67 1 this this PRON asir-4886 67 2 is be AUX asir-4886 67 3 the the DET asir-4886 67 4 loss loss NOUN asir-4886 67 5 function function NOUN asir-4886 67 6 within within ADP asir-4886 67 7 our our PRON asir-4886 67 8 method method NOUN asir-4886 67 9 , , PUNCT asir-4886 67 10 and and CCONJ asir-4886 67 11 the the DET asir-4886 67 12 basis basis NOUN asir-4886 67 13 of of ADP asir-4886 67 14 our our PRON asir-4886 67 15 improvements improvement NOUN asir-4886 67 16 . . PUNCT asir-4886 68 1 since since SCONJ asir-4886 68 2 there there PRON asir-4886 68 3 are be VERB asir-4886 68 4 an an DET asir-4886 68 5 infinite infinite ADJ asir-4886 68 6 amount amount NOUN asir-4886 68 7 of of ADP asir-4886 68 8 possibilities possibility NOUN asir-4886 68 9 for for ADP asir-4886 68 10 the the DET asir-4886 68 11 image image NOUN asir-4886 68 12 generated generate VERB asir-4886 68 13 from from ADP asir-4886 68 14 existing exist VERB asir-4886 68 15 data datum NOUN asir-4886 68 16 , , PUNCT asir-4886 68 17 the the DET asir-4886 68 18 challenge challenge NOUN asir-4886 68 19 is be AUX asir-4886 68 20 in in ADP asir-4886 68 21 fact fact NOUN asir-4886 68 22 finding find VERB asir-4886 68 23 an an DET asir-4886 68 24 explanation explanation NOUN asir-4886 68 25 for for ADP asir-4886 68 26 the the DET asir-4886 68 27 data datum NOUN asir-4886 68 28 that that PRON asir-4886 68 29 matches match VERB asir-4886 68 30 our our PRON asir-4886 68 31 current current ADJ asir-4886 68 32 assumptions assumption NOUN asir-4886 68 33 of of ADP asir-4886 68 34 the the DET asir-4886 68 35 visuals visual NOUN asir-4886 68 36 . . PUNCT asir-4886 69 1 the the DET asir-4886 69 2 current current ADJ asir-4886 69 3 chirp chirp ADJ asir-4886 69 4 algorithm algorithm NOUN asir-4886 69 5 parameterizes parameterize VERB asir-4886 69 6 a a DET asir-4886 69 7 continuous continuous ADJ asir-4886 69 8 image image NOUN asir-4886 69 9 , , PUNCT asir-4886 69 10 which which PRON asir-4886 69 11 allows allow VERB asir-4886 69 12 us we PRON asir-4886 69 13 to to PART asir-4886 69 14 consider consider VERB asir-4886 69 15 the the DET asir-4886 69 16 image image NOUN asir-4886 69 17 as as ADP asir-4886 69 18 , , PUNCT asir-4886 69 19 in in ADP asir-4886 69 20 fact fact NOUN asir-4886 69 21 , , PUNCT asir-4886 69 22 a a DET asir-4886 69 23 continuous continuous ADJ asir-4886 69 24 image image NOUN asir-4886 69 25 , , PUNCT asir-4886 69 26 instead instead ADV asir-4886 69 27 of of ADP asir-4886 69 28 assuming assume VERB asir-4886 69 29 a a DET asir-4886 69 30 discretized discretized ADJ asir-4886 69 31 image image NOUN asir-4886 69 32 of of ADP asir-4886 69 33 point point NOUN asir-4886 69 34 sources source NOUN asir-4886 69 35 , , PUNCT asir-4886 69 36 which which PRON asir-4886 69 37 can can AUX asir-4886 69 38 introduce introduce VERB asir-4886 69 39 errors error NOUN asir-4886 69 40 in in ADP asir-4886 69 41 the the DET asir-4886 69 42 recovered recovered ADJ asir-4886 69 43 image image NOUN asir-4886 69 44 πΌπœ†(β„“ πΌπœ†(β„“ PRON asir-4886 69 45 , , PUNCT asir-4886 69 46 π‘š π‘š NOUN asir-4886 69 47 ) ) PUNCT asir-4886 69 48 . . PUNCT asir-4886 70 1 considering consider VERB asir-4886 70 2 the the DET asir-4886 70 3 parametrization parametrization NOUN asir-4886 70 4 of of ADP asir-4886 70 5 coordinates coordinate NOUN asir-4886 70 6 β„“ β„“ PROPN asir-4886 70 7 and and CCONJ asir-4886 70 8 π‘š π‘š NOUN asir-4886 70 9 as as ADP asir-4886 70 10 𝑁ℓ 𝑁ℓ PROPN asir-4886 70 11 Γ— Γ— PROPN asir-4886 70 12 π‘π‘šscaled π‘π‘šscale VERB asir-4886 70 13 pulsed pulse VERB asir-4886 70 14 functions function NOUN asir-4886 70 15 , , PUNCT asir-4886 70 16 and and CCONJ asir-4886 70 17 applying apply VERB asir-4886 70 18 a a DET asir-4886 70 19 discrete discrete ADJ asir-4886 70 20 time time NOUN asir-4886 70 21 fourier fouri ADJ asir-4886 70 22 transformation transformation NOUN asir-4886 70 23 then then ADV asir-4886 70 24 allows allow VERB asir-4886 70 25 us we PRON asir-4886 70 26 to to PART asir-4886 70 27 create create VERB asir-4886 70 28 a a DET asir-4886 70 29 more more ADV asir-4886 70 30 accurate accurate ADJ asir-4886 70 31 representation representation NOUN asir-4886 70 32 of of ADP asir-4886 70 33 the the DET asir-4886 70 34 data datum NOUN asir-4886 70 35 . . PUNCT asir-4886 71 1 to to PART asir-4886 71 2 optimize optimize VERB asir-4886 71 3 the the DET asir-4886 71 4 image image NOUN asir-4886 71 5 generated generate VERB asir-4886 71 6 , , PUNCT asir-4886 71 7 we we PRON asir-4886 71 8 use use VERB asir-4886 71 9 the the DET asir-4886 71 10 β€œ " PUNCT asir-4886 71 11 half half ADJ asir-4886 71 12 quadratic quadratic ADJ asir-4886 71 13 splitting splitting NOUN asir-4886 71 14 ” " PUNCT asir-4886 71 15 technique technique NOUN asir-4886 71 16 , , PUNCT asir-4886 71 17 which which PRON asir-4886 71 18 uses use VERB asir-4886 71 19 sets set NOUN asir-4886 71 20 of of ADP asir-4886 71 21 auxiliary auxiliary ADJ asir-4886 71 22 patches patch NOUN asir-4886 71 23 to to PART asir-4886 71 24 overlay overlay VERB asir-4886 71 25 the the DET asir-4886 71 26 individual individual ADJ asir-4886 71 27 patches patch NOUN asir-4886 71 28 p1x p1x NOUN asir-4886 71 29 in in ADP asir-4886 71 30 the the DET asir-4886 71 31 image image NOUN asir-4886 71 32 . . PUNCT asir-4886 72 1 we we PRON asir-4886 72 2 then then ADV asir-4886 72 3 solve solve VERB asir-4886 72 4 for for ADP asir-4886 72 5 { { PUNCT asir-4886 72 6 zn zn NOUN asir-4886 72 7 } } PUNCT asir-4886 72 8 given give VERB asir-4886 72 9 x x PRON asir-4886 72 10 , , PUNCT asir-4886 72 11 doing do VERB asir-4886 72 12 so so ADV asir-4886 72 13 by by ADP asir-4886 72 14 setting set VERB asir-4886 72 15 { { PUNCT asir-4886 72 16 zn zn NOUN asir-4886 72 17 } } PUNCT asir-4886 72 18 to to ADP asir-4886 72 19 the the DET asir-4886 72 20 most most ADV asir-4886 72 21 likely likely ADJ asir-4886 72 22 patch patch NOUN asir-4886 72 23 under under ADP asir-4886 72 24 the the DET asir-4886 72 25 prior prior ADV asir-4886 72 26 given give VERB asir-4886 72 27 the the DET asir-4886 72 28 corrupted corrupted ADJ asir-4886 72 29 value value NOUN asir-4886 72 30 of of ADP asir-4886 72 31 pnx pnx NOUN asir-4886 72 32 and and CCONJ asir-4886 72 33 www.scholink.org/ojs/index.php/asir www.scholink.org/ojs/index.php/asir NOUN asir-4886 72 34 applied apply VERB asir-4886 72 35 science science NOUN asir-4886 72 36 and and CCONJ asir-4886 72 37 innovative innovative ADJ asir-4886 72 38 research research NOUN asir-4886 72 39 vol vol NOUN asir-4886 72 40 . . PROPN asir-4886 73 1 6 6 NUM asir-4886 73 2 , , PUNCT asir-4886 73 3 no no INTJ asir-4886 73 4 . . NOUN asir-4886 73 5 3 3 NUM asir-4886 73 6 , , PUNCT asir-4886 73 7 2022 2022 NUM asir-4886 73 8 29 29 NUM asir-4886 73 9 published publish VERB asir-4886 73 10 by by ADP asir-4886 73 11 scholink scholink PROPN asir-4886 73 12 inc inc PROPN asir-4886 73 13 . . PROPN asir-4886 73 14 considering consider VERB asir-4886 73 15 weighing weigh VERB asir-4886 73 16 . . PUNCT asir-4886 74 1 we we PRON asir-4886 74 2 then then ADV asir-4886 74 3 solve solve VERB asir-4886 74 4 for for ADP asir-4886 74 5 x x PUNCT asir-4886 74 6 given give VERB asir-4886 74 7 { { PUNCT asir-4886 74 8 zn zn NOUN asir-4886 74 9 } } PUNCT asir-4886 74 10 , , PUNCT asir-4886 74 11 under under ADP asir-4886 74 12 the the DET asir-4886 74 13 knowledge knowledge NOUN asir-4886 74 14 that that PRON asir-4886 74 15 our our PRON asir-4886 74 16 energy energy NOUN asir-4886 74 17 is be AUX asir-4886 74 18 a a DET asir-4886 74 19 6th 6th ADJ asir-4886 74 20 order order NOUN asir-4886 74 21 polynomial polynomial ADJ asir-4886 74 22 as as SCONJ asir-4886 74 23 we we PRON asir-4886 74 24 used use VERB asir-4886 74 25 bispectrum bispectrum NOUN asir-4886 74 26 measurements measurement NOUN asir-4886 74 27 . . PUNCT asir-4886 75 1 we we PRON asir-4886 75 2 perform perform VERB asir-4886 75 3 a a DET asir-4886 75 4 2nd 2nd ADJ asir-4886 75 5 order order NOUN asir-4886 75 6 taylor taylor NOUN asir-4886 75 7 expansion expansion NOUN asir-4886 75 8 around around ADP asir-4886 75 9 x0 x0 PROPN asir-4886 75 10 to to PART asir-4886 75 11 approximate approximate VERB asir-4886 75 12 the the DET asir-4886 75 13 local local ADJ asir-4886 75 14 minimum minimum NOUN asir-4886 75 15 in in ADP asir-4886 75 16 closed closed ADJ asir-4886 75 17 - - PUNCT asir-4886 75 18 form form NOUN asir-4886 75 19 . . PUNCT asir-4886 76 1 we we PRON asir-4886 76 2 will will AUX asir-4886 76 3 iterate iterate VERB asir-4886 76 4 between between ADP asir-4886 76 5 these these DET asir-4886 76 6 2 2 NUM asir-4886 76 7 steps step NOUN asir-4886 76 8 giving give VERB asir-4886 76 9 10 10 NUM asir-4886 76 10 weighing weigh VERB asir-4886 76 11 values value NOUN asir-4886 76 12 , , PUNCT asir-4886 76 13 which which PRON asir-4886 76 14 allows allow VERB asir-4886 76 15 us we PRON asir-4886 76 16 to to PART asir-4886 76 17 build build VERB asir-4886 76 18 up up ADP asir-4886 76 19 a a DET asir-4886 76 20 multi multi ADJ asir-4886 76 21 - - ADJ asir-4886 76 22 scale scale ADJ asir-4886 76 23 framework framework NOUN asir-4886 76 24 . . PUNCT asir-4886 77 1 the the DET asir-4886 77 2 building building NOUN asir-4886 77 3 of of ADP asir-4886 77 4 the the DET asir-4886 77 5 framework framework NOUN asir-4886 77 6 is be AUX asir-4886 77 7 essential essential ADJ asir-4886 77 8 in in ADP asir-4886 77 9 helping help VERB asir-4886 77 10 us we PRON asir-4886 77 11 find find VERB asir-4886 77 12 the the DET asir-4886 77 13 best good ADJ asir-4886 77 14 low low ADJ asir-4886 77 15 - - PUNCT asir-4886 77 16 resolution resolution NOUN asir-4886 77 17 solution solution NOUN asir-4886 77 18 of of ADP asir-4886 77 19 the the DET asir-4886 77 20 image image NOUN asir-4886 77 21 , , PUNCT asir-4886 77 22 starting start VERB asir-4886 77 23 at at ADP asir-4886 77 24 pulses pulse NOUN asir-4886 77 25 20x20 20x20 NOUN asir-4886 77 26 , , PUNCT asir-4886 77 27 and and CCONJ asir-4886 77 28 over over ADP asir-4886 77 29 the the DET asir-4886 77 30 different different ADJ asir-4886 77 31 iterations iteration NOUN asir-4886 77 32 increase increase VERB asir-4886 77 33 the the DET asir-4886 77 34 scale scale NOUN asir-4886 77 35 to to ADP asir-4886 77 36 64x64 64x64 NUM asir-4886 77 37 . . PUNCT asir-4886 78 1 before before SCONJ asir-4886 78 2 the the DET asir-4886 78 3 final final ADJ asir-4886 78 4 image image NOUN asir-4886 78 5 is be AUX asir-4886 78 6 generated generate VERB asir-4886 78 7 with with ADP asir-4886 78 8 the the DET asir-4886 78 9 out.display out.display NOUN asir-4886 78 10 function function NOUN asir-4886 78 11 , , PUNCT asir-4886 78 12 we we PRON asir-4886 78 13 can can AUX asir-4886 78 14 modify modify VERB asir-4886 78 15 all all DET asir-4886 78 16 aspects aspect NOUN asir-4886 78 17 of of ADP asir-4886 78 18 the the DET asir-4886 78 19 image image NOUN asir-4886 78 20 with with ADP asir-4886 78 21 the the DET asir-4886 78 22 imager_func imager_func NOUN asir-4886 78 23 function function NOUN asir-4886 78 24 . . PUNCT asir-4886 79 1 the the DET asir-4886 79 2 imager_func imager_func NOUN asir-4886 79 3 function function NOUN asir-4886 79 4 contains contain VERB asir-4886 79 5 most most ADJ asir-4886 79 6 of of ADP asir-4886 79 7 the the DET asir-4886 79 8 changeable changeable ADJ asir-4886 79 9 parameters parameter NOUN asir-4886 79 10 and and CCONJ asir-4886 79 11 is be AUX asir-4886 79 12 responsible responsible ADJ asir-4886 79 13 for for ADP asir-4886 79 14 the the DET asir-4886 79 15 generation generation NOUN asir-4886 79 16 of of ADP asir-4886 79 17 the the DET asir-4886 79 18 final final ADJ asir-4886 79 19 image image NOUN asir-4886 79 20 . . PUNCT asir-4886 80 1 we we PRON asir-4886 80 2 input input VERB asir-4886 80 3 the the DET asir-4886 80 4 original original ADJ asir-4886 80 5 picture picture NOUN asir-4886 80 6 , , PUNCT asir-4886 80 7 initim initim NOUN asir-4886 80 8 , , PUNCT asir-4886 80 9 and and CCONJ asir-4886 80 10 the the DET asir-4886 80 11 prior prior ADJ asir-4886 80 12 image image NOUN asir-4886 80 13 generated generate VERB asir-4886 80 14 , , PUNCT asir-4886 80 15 prior prior ADV asir-4886 80 16 , , PUNCT asir-4886 80 17 along along ADP asir-4886 80 18 with with ADP asir-4886 80 19 the the DET asir-4886 80 20 object object NOUN asir-4886 80 21 vlbi vlbi PROPN asir-4886 80 22 data data PROPN asir-4886 80 23 , , PUNCT asir-4886 80 24 along along ADP asir-4886 80 25 with with ADP asir-4886 80 26 desired desire VERB asir-4886 80 27 data datum NOUN asir-4886 80 28 string string NOUN asir-4886 80 29 and and CCONJ asir-4886 80 30 regulazier regulazi ADJ asir-4886 80 31 , , PUNCT asir-4886 80 32 and and CCONJ asir-4886 80 33 a a DET asir-4886 80 34 final final ADJ asir-4886 80 35 image image NOUN asir-4886 80 36 from from ADP asir-4886 80 37 all all DET asir-4886 80 38 the the DET asir-4886 80 39 data data NOUN asir-4886 80 40 is be AUX asir-4886 80 41 generated generate VERB asir-4886 80 42 . . PUNCT asir-4886 81 1 with with ADP asir-4886 81 2 the the DET asir-4886 81 3 function function NOUN asir-4886 81 4 we we PRON asir-4886 81 5 are be AUX asir-4886 81 6 able able ADJ asir-4886 81 7 to to PART asir-4886 81 8 select select VERB asir-4886 81 9 which which DET asir-4886 81 10 data datum NOUN asir-4886 81 11 string string NOUN asir-4886 81 12 the the DET asir-4886 81 13 image image NOUN asir-4886 81 14 will will AUX asir-4886 81 15 be be AUX asir-4886 81 16 generated generate VERB asir-4886 81 17 with with ADP asir-4886 81 18 , , PUNCT asir-4886 81 19 as as SCONJ asir-4886 81 20 the the DET asir-4886 81 21 function function NOUN asir-4886 81 22 allows allow VERB asir-4886 81 23 the the DET asir-4886 81 24 storage storage NOUN asir-4886 81 25 and and CCONJ asir-4886 81 26 generation generation NOUN asir-4886 81 27 of of ADP asir-4886 81 28 three three NUM asir-4886 81 29 separate separate ADJ asir-4886 81 30 sets set NOUN asir-4886 81 31 of of ADP asir-4886 81 32 variable variable ADJ asir-4886 81 33 term term NOUN asir-4886 81 34 values value NOUN asir-4886 81 35 , , PUNCT asir-4886 81 36 and and CCONJ asir-4886 81 37 we we PRON asir-4886 81 38 can can AUX asir-4886 81 39 select select VERB asir-4886 81 40 them they PRON asir-4886 81 41 here here ADV asir-4886 81 42 by by ADP asir-4886 81 43 choosing choose VERB asir-4886 81 44 between between ADP asir-4886 81 45 d1 d1 PROPN asir-4886 81 46 , , PUNCT asir-4886 81 47 d2 d2 PROPN asir-4886 81 48 , , PUNCT asir-4886 81 49 and and CCONJ asir-4886 81 50 d3 d3 PROPN asir-4886 81 51 . . PUNCT asir-4886 82 1 these these DET asir-4886 82 2 data datum NOUN asir-4886 82 3 terms term NOUN asir-4886 82 4 each each DET asir-4886 82 5 refer refer VERB asir-4886 82 6 to to ADP asir-4886 82 7 the the DET asir-4886 82 8 value value NOUN asir-4886 82 9 d d NOUN asir-4886 82 10 within within ADP asir-4886 82 11 the the DET asir-4886 82 12 loss loss NOUN asir-4886 82 13 function function NOUN asir-4886 82 14 term term NOUN asir-4886 82 15 -d(y|x -d(y|x NOUN asir-4886 82 16 ) ) PUNCT asir-4886 82 17 , , PUNCT asir-4886 82 18 which which PRON asir-4886 82 19 can can AUX asir-4886 82 20 be be AUX asir-4886 82 21 further far ADV asir-4886 82 22 split split VERB asir-4886 82 23 into into ADP asir-4886 82 24 d1(x d1(x PROPN asir-4886 82 25 , , PUNCT asir-4886 82 26 y)+d2(x y)+d2(x NOUN asir-4886 82 27 , , PUNCT asir-4886 82 28 y)+d3(x y)+d3(x PROPN asir-4886 82 29 , , PUNCT asir-4886 82 30 y y NOUN asir-4886 82 31 ) ) PUNCT asir-4886 82 32 , , PUNCT asir-4886 82 33 and and CCONJ asir-4886 82 34 we we PRON asir-4886 82 35 can can AUX asir-4886 82 36 choose choose VERB asir-4886 82 37 different different ADJ asir-4886 82 38 statuses status NOUN asir-4886 82 39 for for ADP asir-4886 82 40 these these DET asir-4886 82 41 values value NOUN asir-4886 82 42 , , PUNCT asir-4886 82 43 from from ADP asir-4886 82 44 ' ' PUNCT asir-4886 82 45 vis vis X asir-4886 82 46 ' ' PUNCT asir-4886 82 47 , , PUNCT asir-4886 82 48 ' ' PUNCT asir-4886 82 49 bs bs X asir-4886 82 50 ' ' NOUN asir-4886 82 51 , , PUNCT asir-4886 82 52 ' ' PUNCT asir-4886 82 53 amp amp NOUN asir-4886 82 54 ' ' PUNCT asir-4886 82 55 , , PUNCT asir-4886 82 56 ' ' PUNCT asir-4886 82 57 cphase cphase NOUN asir-4886 82 58 ' ' PUNCT asir-4886 82 59 , , PUNCT asir-4886 82 60 ' ' PUNCT asir-4886 82 61 cphase_diag cphase_diag NOUN asir-4886 82 62 ' ' PART asir-4886 82 63 ' ' PUNCT asir-4886 82 64 camp camp NOUN asir-4886 82 65 ' ' PUNCT asir-4886 82 66 , , PUNCT asir-4886 82 67 ' ' PUNCT asir-4886 82 68 logcamp logcamp VERB asir-4886 82 69 ' ' PUNCT asir-4886 82 70 , , PUNCT asir-4886 82 71 ' ' PUNCT asir-4886 82 72 logcamp_diag logcamp_diag NOUN asir-4886 82 73 ' ' PUNCT asir-4886 82 74 . . PUNCT asir-4886 83 1 similarly similarly ADV asir-4886 83 2 , , PUNCT asir-4886 83 3 we we PRON asir-4886 83 4 can can AUX asir-4886 83 5 also also ADV asir-4886 83 6 select select VERB asir-4886 83 7 between between ADP asir-4886 83 8 3 3 NUM asir-4886 83 9 regularizers regularizer NOUN asir-4886 83 10 , , PUNCT asir-4886 83 11 which which PRON asir-4886 83 12 are be AUX asir-4886 83 13 sets set NOUN asir-4886 83 14 of of ADP asir-4886 83 15 data datum NOUN asir-4886 83 16 that that PRON asir-4886 83 17 are be AUX asir-4886 83 18 used use VERB asir-4886 83 19 to to PART asir-4886 83 20 prevent prevent VERB asir-4886 83 21 overfitting overfitting NOUN asir-4886 83 22 of of ADP asir-4886 83 23 neural neural ADJ asir-4886 83 24 networks network NOUN asir-4886 83 25 in in ADP asir-4886 83 26 the the DET asir-4886 83 27 algorithm algorithm NOUN asir-4886 83 28 , , PUNCT asir-4886 83 29 mainly mainly ADV asir-4886 83 30 aimed aim VERB asir-4886 83 31 at at ADP asir-4886 83 32 improving improve VERB asir-4886 83 33 accuracy accuracy NOUN asir-4886 83 34 of of ADP asir-4886 83 35 the the DET asir-4886 83 36 image image NOUN asir-4886 83 37 generated generate VERB asir-4886 83 38 . . PUNCT asir-4886 84 1 in in ADP asir-4886 84 2 our our PRON asir-4886 84 3 case case NOUN asir-4886 84 4 , , PUNCT asir-4886 84 5 we we PRON asir-4886 84 6 incorporate incorporate VERB asir-4886 84 7 a a DET asir-4886 84 8 gaussian gaussian ADJ asir-4886 84 9 mixture mixture NOUN asir-4886 84 10 model model NOUN asir-4886 84 11 epllr(x epllr(x PROPN asir-4886 84 12 ) ) PUNCT asir-4886 84 13 to to PART asir-4886 84 14 regularize regularize VERB asir-4886 84 15 our our PRON asir-4886 84 16 equation equation NOUN asir-4886 84 17 using use VERB asir-4886 84 18 the the DET asir-4886 84 19 matrix matrix NOUN asir-4886 84 20 pn pn NOUN asir-4886 84 21 , , PUNCT asir-4886 84 22 taken take VERB asir-4886 84 23 from from ADP asir-4886 84 24 the the DET asir-4886 84 25 nth nth NOUN asir-4886 84 26 patch patch NOUN asir-4886 84 27 of of ADP asir-4886 84 28 our our PRON asir-4886 84 29 coordinate coordinate NOUN asir-4886 84 30 x. x. NOUN asir-4886 85 1 we we PRON asir-4886 85 2 can can AUX asir-4886 85 3 also also ADV asir-4886 85 4 combine combine VERB asir-4886 85 5 data data NOUN asir-4886 85 6 strings string NOUN asir-4886 85 7 and and CCONJ asir-4886 85 8 regularizers regularizer NOUN asir-4886 85 9 by by ADP asir-4886 85 10 changing change VERB asir-4886 85 11 their their PRON asir-4886 85 12 corresponding corresponding ADJ asir-4886 85 13 alpha alpha ADJ asir-4886 85 14 values value NOUN asir-4886 85 15 , , PUNCT asir-4886 85 16 which which PRON asir-4886 85 17 changes change VERB asir-4886 85 18 the the DET asir-4886 85 19 weight weight NOUN asir-4886 85 20 of of ADP asir-4886 85 21 each each DET asir-4886 85 22 string string NOUN asir-4886 85 23 . . PUNCT asir-4886 86 1 figure figure NOUN asir-4886 86 2 11 11 NUM asir-4886 86 3 . . PUNCT asir-4886 87 1 an an DET asir-4886 87 2 image image NOUN asir-4886 87 3 generated generate VERB asir-4886 87 4 with with ADP asir-4886 87 5 the the DET asir-4886 87 6 d2 d2 PROPN asir-4886 87 7 data data PROPN asir-4886 87 8 string string NOUN asir-4886 87 9 , , PUNCT asir-4886 87 10 still still ADV asir-4886 87 11 set set VERB asir-4886 87 12 at at ADP asir-4886 87 13 the the DET asir-4886 87 14 bs bs NOUN asir-4886 87 15 setting set VERB asir-4886 87 16 www.scholink.org/ojs/index.php/asir www.scholink.org/ojs/index.php/asir NOUN asir-4886 87 17 applied apply VERB asir-4886 87 18 science science NOUN asir-4886 87 19 and and CCONJ asir-4886 87 20 innovative innovative ADJ asir-4886 87 21 research research NOUN asir-4886 87 22 vol vol NOUN asir-4886 87 23 . . PROPN asir-4886 88 1 6 6 NUM asir-4886 88 2 , , PUNCT asir-4886 88 3 no no INTJ asir-4886 88 4 . . NOUN asir-4886 88 5 3 3 NUM asir-4886 88 6 , , PUNCT asir-4886 88 7 2022 2022 NUM asir-4886 88 8 30 30 NUM asir-4886 88 9 published publish VERB asir-4886 88 10 by by ADP asir-4886 88 11 scholink scholink PROPN asir-4886 88 12 inc inc PROPN asir-4886 88 13 . . PUNCT asir-4886 89 1 the the DET asir-4886 89 2 function function NOUN asir-4886 89 3 will will AUX asir-4886 89 4 then then ADV asir-4886 89 5 call call VERB asir-4886 89 6 several several ADJ asir-4886 89 7 parameters parameter NOUN asir-4886 89 8 , , PUNCT asir-4886 89 9 both both PRON asir-4886 89 10 booleans boolean NOUN asir-4886 89 11 and and CCONJ asir-4886 89 12 strings string NOUN asir-4886 89 13 . . PUNCT asir-4886 90 1 grads grad NOUN asir-4886 90 2 is be AUX asir-4886 90 3 a a DET asir-4886 90 4 boolean boolean ADJ asir-4886 90 5 that that PRON asir-4886 90 6 applies apply VERB asir-4886 90 7 analytics analytic NOUN asir-4886 90 8 gradients gradient NOUN asir-4886 90 9 when when SCONJ asir-4886 90 10 true true ADJ asir-4886 90 11 ; ; PUNCT asir-4886 90 12 norm_reg norm_reg NUM asir-4886 90 13 and and CCONJ asir-4886 90 14 norm_init norm_init PROPN asir-4886 90 15 are be AUX asir-4886 90 16 booleans boolean NOUN asir-4886 90 17 that that PRON asir-4886 90 18 normalizes normalize VERB asir-4886 90 19 the the DET asir-4886 90 20 regularizer regularizer NOUN asir-4886 90 21 and and CCONJ asir-4886 90 22 initial initial ADJ asir-4886 90 23 image image NOUN asir-4886 90 24 when when SCONJ asir-4886 90 25 true true ADJ asir-4886 90 26 . . PUNCT asir-4886 91 1 boolean boolean ADJ asir-4886 91 2 debias debia NOUN asir-4886 91 3 apply apply VERB asir-4886 91 4 debiasing debiase VERB asir-4886 91 5 to to ADP asir-4886 91 6 the the DET asir-4886 91 7 amplitude amplitude NOUN asir-4886 91 8 of of ADP asir-4886 91 9 the the DET asir-4886 91 10 image image NOUN asir-4886 91 11 . . PUNCT asir-4886 92 1 there there PRON asir-4886 92 2 are be VERB asir-4886 92 3 also also ADV asir-4886 92 4 other other ADJ asir-4886 92 5 string string NOUN asir-4886 92 6 data datum NOUN asir-4886 92 7 in in ADP asir-4886 92 8 the the DET asir-4886 92 9 function function NOUN asir-4886 92 10 : : PUNCT asir-4886 92 11 weighing weigh VERB asir-4886 92 12 is be AUX asir-4886 92 13 a a DET asir-4886 92 14 data datum NOUN asir-4886 92 15 string string NOUN asir-4886 92 16 that that PRON asir-4886 92 17 lets let VERB asir-4886 92 18 you you PRON asir-4886 92 19 choose choose VERB asir-4886 92 20 between between ADP asir-4886 92 21 natural natural ADJ asir-4886 92 22 or or CCONJ asir-4886 92 23 uniform uniform ADJ asir-4886 92 24 weighing weighing NOUN asir-4886 92 25 of of ADP asir-4886 92 26 the the DET asir-4886 92 27 data datum NOUN asir-4886 92 28 , , PUNCT asir-4886 92 29 beam_size beam_size PROPN asir-4886 92 30 is be AUX asir-4886 92 31 a a DET asir-4886 92 32 parameter parameter NOUN asir-4886 92 33 that that PRON asir-4886 92 34 changes change VERB asir-4886 92 35 the the DET asir-4886 92 36 radians radian NOUN asir-4886 92 37 for for ADP asir-4886 92 38 the the DET asir-4886 92 39 regularizer regularizer NOUN asir-4886 92 40 normalization normalization NOUN asir-4886 92 41 . . PUNCT asir-4886 93 1 max_set max_set PROPN asir-4886 93 2 is be AUX asir-4886 93 3 the the DET asir-4886 93 4 boolean boolean ADJ asir-4886 93 5 that that PRON asir-4886 93 6 defines define VERB asir-4886 93 7 the the DET asir-4886 93 8 closure closure NOUN asir-4886 93 9 quantities quantity NOUN asir-4886 93 10 , , PUNCT asir-4886 93 11 and and CCONJ asir-4886 93 12 cp_uv_min cp_uv_min NOUN asir-4886 93 13 then then ADV asir-4886 93 14 flags flag VERB asir-4886 93 15 all all DET asir-4886 93 16 baselines baseline NOUN asir-4886 93 17 that that PRON asir-4886 93 18 are be AUX asir-4886 93 19 shorter short ADJ asir-4886 93 20 than than ADP asir-4886 93 21 the the DET asir-4886 93 22 defined define VERB asir-4886 93 23 value value NOUN asir-4886 93 24 before before ADP asir-4886 93 25 forming form VERB asir-4886 93 26 the the DET asir-4886 93 27 closure closure NOUN asir-4886 93 28 quantities quantity NOUN asir-4886 93 29 . . PUNCT asir-4886 94 1 ttype ttype ADJ asir-4886 94 2 , , PUNCT asir-4886 94 3 fft_pad_factor fft_pad_factor NOUN asir-4886 94 4 , , PUNCT asir-4886 94 5 and and CCONJ asir-4886 94 6 order order NOUN asir-4886 94 7 all all PRON asir-4886 94 8 change change VERB asir-4886 94 9 the the DET asir-4886 94 10 ways way NOUN asir-4886 94 11 fourier fouri ADJ asir-4886 94 12 transformation transformation NOUN asir-4886 94 13 is be AUX asir-4886 94 14 conducted conduct VERB asir-4886 94 15 with with ADP asir-4886 94 16 fft fft PROPN asir-4886 94 17 . . PUNCT asir-4886 95 1 there there PRON asir-4886 95 2 are be VERB asir-4886 95 3 also also ADV asir-4886 95 4 parameters parameter NOUN asir-4886 95 5 that that PRON asir-4886 95 6 do do AUX asir-4886 95 7 n't not PART asir-4886 95 8 change change VERB asir-4886 95 9 the the DET asir-4886 95 10 function function NOUN asir-4886 95 11 itself itself PRON asir-4886 95 12 , , PUNCT asir-4886 95 13 but but CCONJ asir-4886 95 14 change change VERB asir-4886 95 15 the the DET asir-4886 95 16 way way NOUN asir-4886 95 17 the the DET asir-4886 95 18 function function NOUN asir-4886 95 19 is be AUX asir-4886 95 20 displayed display VERB asir-4886 95 21 , , PUNCT asir-4886 95 22 such such ADJ asir-4886 95 23 as as ADP asir-4886 95 24 show_updates show_update NOUN asir-4886 95 25 , , PUNCT asir-4886 95 26 which which PRON asir-4886 95 27 display display VERB asir-4886 95 28 the the DET asir-4886 95 29 progress progress NOUN asir-4886 95 30 of of ADP asir-4886 95 31 the the DET asir-4886 95 32 minimizer minimizer NOUN asir-4886 95 33 . . PUNCT asir-4886 96 1 the the DET asir-4886 96 2 algorithm algorithm NOUN asir-4886 96 3 will will AUX asir-4886 96 4 then then ADV asir-4886 96 5 apply apply VERB asir-4886 96 6 a a DET asir-4886 96 7 circular circular ADJ asir-4886 96 8 gaussian gaussian NOUN asir-4886 96 9 blur blur NOUN asir-4886 96 10 with with ADP asir-4886 96 11 the the DET asir-4886 96 12 out.blur_circ out.blur_circ ADJ asir-4886 96 13 function function NOUN asir-4886 96 14 , , PUNCT asir-4886 96 15 and and CCONJ asir-4886 96 16 apply apply VERB asir-4886 96 17 the the DET asir-4886 96 18 imager_func imager_func NOUN asir-4886 96 19 once once ADV asir-4886 96 20 again again ADV asir-4886 96 21 . . PUNCT asir-4886 97 1 optionally optionally ADV asir-4886 97 2 , , PUNCT asir-4886 97 3 the the DET asir-4886 97 4 image image NOUN asir-4886 97 5 can can AUX asir-4886 97 6 be be AUX asir-4886 97 7 self self NOUN asir-4886 97 8 - - PUNCT asir-4886 97 9 calibrated calibrate VERB asir-4886 97 10 with with ADP asir-4886 97 11 the the DET asir-4886 97 12 sc.self_cal sc.self_cal ADJ asir-4886 97 13 function function NOUN asir-4886 97 14 , , PUNCT asir-4886 97 15 before before SCONJ asir-4886 97 16 the the DET asir-4886 97 17 imager_func imager_func NOUN asir-4886 97 18 is be AUX asir-4886 97 19 applied apply VERB asir-4886 97 20 once once ADV asir-4886 97 21 again again ADV asir-4886 97 22 . . PUNCT asir-4886 98 1 finally finally ADV asir-4886 98 2 , , PUNCT asir-4886 98 3 a a DET asir-4886 98 4 final final ADJ asir-4886 98 5 blur blur NOUN asir-4886 98 6 is be AUX asir-4886 98 7 applied apply VERB asir-4886 98 8 with with ADP asir-4886 98 9 the the DET asir-4886 98 10 out.blur_gauss out.blur_gauss NUM asir-4886 98 11 function function NOUN asir-4886 98 12 , , PUNCT asir-4886 98 13 and and CCONJ asir-4886 98 14 the the DET asir-4886 98 15 final final ADJ asir-4886 98 16 image image NOUN asir-4886 98 17 is be AUX asir-4886 98 18 generated generate VERB asir-4886 98 19 with with ADP asir-4886 98 20 all all DET asir-4886 98 21 the the DET asir-4886 98 22 parameters parameter NOUN asir-4886 98 23 specified specify VERB asir-4886 98 24 . . PUNCT asir-4886 99 1 this this PRON asir-4886 99 2 is be AUX asir-4886 99 3 done do VERB asir-4886 99 4 by by ADP asir-4886 99 5 the the DET asir-4886 99 6 out.display out.display NOUN asir-4886 99 7 function function NOUN asir-4886 99 8 . . PUNCT asir-4886 100 1 in in ADP asir-4886 100 2 examining examine VERB asir-4886 100 3 the the DET asir-4886 100 4 loss loss NOUN asir-4886 100 5 function function NOUN asir-4886 100 6 , , PUNCT asir-4886 100 7 and and CCONJ asir-4886 100 8 more more ADV asir-4886 100 9 specifically specifically ADV asir-4886 100 10 the the DET asir-4886 100 11 epllr(x epllr(x PROPN asir-4886 100 12 ) ) PUNCT asir-4886 100 13 regularizer regularizer NOUN asir-4886 100 14 , , PUNCT asir-4886 100 15 we we PRON asir-4886 100 16 notice notice VERB asir-4886 100 17 several several ADJ asir-4886 100 18 interesting interesting ADJ asir-4886 100 19 functions function NOUN asir-4886 100 20 . . PUNCT asir-4886 101 1 we we PRON asir-4886 101 2 find find VERB asir-4886 101 3 that that SCONJ asir-4886 101 4 within within ADP asir-4886 101 5 the the DET asir-4886 101 6 imager_func imager_func NOUN asir-4886 101 7 function function NOUN asir-4886 101 8 , , PUNCT asir-4886 101 9 the the DET asir-4886 101 10 regularizers regularizer NOUN asir-4886 101 11 are be AUX asir-4886 101 12 written write VERB asir-4886 101 13 as as ADP asir-4886 101 14 : : PUNCT asir-4886 101 15 def def ADJ asir-4886 101 16 objfunc(imvec objfunc(imvec PROPN asir-4886 101 17 ): ): PUNCT asir-4886 101 18 if if SCONJ asir-4886 101 19 logim logim NOUN asir-4886 101 20 : : PUNCT asir-4886 101 21 imvec imvec ADJ asir-4886 101 22 = = SYM asir-4886 101 23 np.exp(imvec np.exp(imvec NOUN asir-4886 101 24 ) ) PUNCT asir-4886 101 25 datterm datterm NOUN asir-4886 101 26 = = SYM asir-4886 101 27 alpha_d1 alpha_d1 NOUN asir-4886 101 28 * * PUNCT asir-4886 101 29 ( ( PUNCT asir-4886 101 30 chisq1(imvec chisq1(imvec NOUN asir-4886 101 31 ) ) PUNCT asir-4886 101 32 1 1 NUM asir-4886 101 33 ) ) PUNCT asir-4886 102 1 + + NUM asir-4886 102 2 alpha_d2 alpha_d2 NOUN asir-4886 102 3 * * PUNCT asir-4886 102 4 \ \ PROPN asir-4886 102 5 ( ( PUNCT asir-4886 102 6 chisq2(imvec chisq2(imvec NOUN asir-4886 102 7 ) ) PUNCT asir-4886 102 8 1 1 NUM asir-4886 102 9 ) ) PUNCT asir-4886 102 10 + + CCONJ asir-4886 102 11 alpha_d3 alpha_d3 PROPN asir-4886 102 12 * * PUNCT asir-4886 102 13 ( ( PUNCT asir-4886 102 14 chisq3(imvec chisq3(imvec NOUN asir-4886 102 15 ) ) PUNCT asir-4886 102 16 1 1 NUM asir-4886 102 17 ) ) PUNCT asir-4886 102 18 regterm regterm NOUN asir-4886 102 19 = = NOUN asir-4886 102 20 alpha_s1 alpha_s1 NOUN asir-4886 102 21 * * NOUN asir-4886 102 22 reg1(imvec reg1(imvec NOUN asir-4886 102 23 ) ) PUNCT asir-4886 103 1 + + NUM asir-4886 103 2 alpha_s2 alpha_s2 X asir-4886 103 3 * * PUNCT asir-4886 103 4 reg2(imvec reg2(imvec NOUN asir-4886 103 5 ) ) PUNCT asir-4886 103 6 + + CCONJ asir-4886 103 7 alpha_s3 alpha_s3 NOUN asir-4886 103 8 * * PUNCT asir-4886 103 9 reg3(imvec reg3(imvec NOUN asir-4886 103 10 ) ) PUNCT asir-4886 103 11 conterm conterm NOUN asir-4886 103 12 = = NOUN asir-4886 103 13 alpha_flux alpha_flux NOUN asir-4886 103 14 * * PUNCT asir-4886 103 15 flux_constraint(imvec flux_constraint(imvec X asir-4886 103 16 ) ) PUNCT asir-4886 103 17 + + NUM asir-4886 103 18 alpha_cm alpha_cm NOUN asir-4886 103 19 * * SYM asir-4886 103 20 cm_constraint(imvec cm_constraint(imvec X asir-4886 103 21 ) ) PUNCT asir-4886 103 22 return return VERB asir-4886 103 23 datterm datterm NOUN asir-4886 103 24 + + CCONJ asir-4886 103 25 regterm regterm NOUN asir-4886 103 26 + + CCONJ asir-4886 103 27 conterm conterm VERB asir-4886 103 28 the the DET asir-4886 103 29 three three NUM asir-4886 103 30 regularizers regularizer NOUN asir-4886 103 31 and and CCONJ asir-4886 103 32 their their PRON asir-4886 103 33 weighting weighting NOUN asir-4886 103 34 is be AUX asir-4886 103 35 then then ADV asir-4886 103 36 calculated calculate VERB asir-4886 103 37 by by ADP asir-4886 103 38 datterm datterm NOUN asir-4886 103 39 = = SYM asir-4886 103 40 alpha_d1 alpha_d1 NOUN asir-4886 103 41 * * PUNCT asir-4886 103 42 chisq1grad(imvec chisq1grad(imvec X asir-4886 103 43 ) ) PUNCT asir-4886 103 44 + + NUM asir-4886 103 45 alpha_d2 alpha_d2 NOUN asir-4886 103 46 * * PUNCT asir-4886 103 47 \ \ PROPN asir-4886 103 48 chisq2grad(imvec chisq2grad(imvec PROPN asir-4886 103 49 ) ) PUNCT asir-4886 103 50 + + NUM asir-4886 103 51 alpha_d3 alpha_d3 PROPN asir-4886 103 52 * * PUNCT asir-4886 103 53 chisq3grad(imvec chisq3grad(imvec PROPN asir-4886 103 54 ) ) PUNCT asir-4886 103 55 regterm regterm NOUN asir-4886 103 56 = = NOUN asir-4886 103 57 alpha_s1 alpha_s1 NOUN asir-4886 103 58 * * PUNCT asir-4886 103 59 reg1grad(imvec reg1grad(imvec PROPN asir-4886 103 60 ) ) PUNCT asir-4886 104 1 + + NUM asir-4886 104 2 alpha_s2 alpha_s2 PUNCT asir-4886 104 3 * * PUNCT asir-4886 104 4 \ \ X asir-4886 104 5 reg2grad(imvec reg2grad(imvec PROPN asir-4886 104 6 ) ) PUNCT asir-4886 105 1 + + CCONJ asir-4886 105 2 alpha_s3 alpha_s3 NOUN asir-4886 105 3 * * PUNCT asir-4886 105 4 reg3grad(imvec reg3grad(imvec PROPN asir-4886 105 5 ) ) PUNCT asir-4886 105 6 conterm conterm NOUN asir-4886 105 7 = = PUNCT asir-4886 105 8 alpha_flux alpha_flux NOUN asir-4886 105 9 * * PUNCT asir-4886 105 10 flux_constraint_grad(imvec flux_constraint_grad(imvec X asir-4886 105 11 ) ) PUNCT asir-4886 105 12 + + NUM asir-4886 105 13 alpha_cm alpha_cm NOUN asir-4886 105 14 * * SYM asir-4886 105 15 cm_constraint_grad(imvec cm_constraint_grad(imvec PROPN asir-4886 105 16 ) ) PUNCT asir-4886 105 17 grad grad NOUN asir-4886 105 18 = = SYM asir-4886 105 19 datterm datterm NOUN asir-4886 105 20 + + CCONJ asir-4886 105 21 regterm regterm NOUN asir-4886 105 22 + + CCONJ asir-4886 105 23 conterm conterm NOUN asir-4886 105 24 with with ADP asir-4886 105 25 these these DET asir-4886 105 26 regularizers regularizer NOUN asir-4886 105 27 in in ADP asir-4886 105 28 place place NOUN asir-4886 105 29 , , PUNCT asir-4886 105 30 and and CCONJ asir-4886 105 31 combined combine VERB asir-4886 105 32 with with ADP asir-4886 105 33 the the DET asir-4886 105 34 steps step NOUN asir-4886 105 35 mentioned mention VERB asir-4886 105 36 above above ADV asir-4886 105 37 , , PUNCT asir-4886 105 38 a a DET asir-4886 105 39 final final ADJ asir-4886 105 40 image image NOUN asir-4886 105 41 is be AUX asir-4886 105 42 generated generate VERB asir-4886 105 43 ( ( PUNCT asir-4886 105 44 bouman bouman PROPN asir-4886 105 45 , , PUNCT asir-4886 105 46 katherine katherine PROPN asir-4886 105 47 , , PUNCT asir-4886 105 48 johnson johnson PROPN asir-4886 105 49 , , PUNCT asir-4886 105 50 michael michael PROPN asir-4886 105 51 , , PUNCT asir-4886 105 52 zoran zoran PROPN asir-4886 105 53 , , PUNCT asir-4886 105 54 daniel daniel PROPN asir-4886 105 55 , , PUNCT asir-4886 105 56 fish fish NOUN asir-4886 105 57 , , PUNCT asir-4886 105 58 vincent vincent PROPN asir-4886 105 59 , , PUNCT asir-4886 105 60 doeleman doeleman NOUN asir-4886 105 61 , , PUNCT asir-4886 105 62 sheperd sheperd NOUN asir-4886 105 63 , , PUNCT asir-4886 105 64 & & CCONJ asir-4886 105 65 freeman freeman PROPN asir-4886 105 66 , , PUNCT asir-4886 105 67 william william PROPN asir-4886 105 68 , , PUNCT asir-4886 105 69 2016 2016 NUM asir-4886 105 70 ) ) PUNCT asir-4886 105 71 . . PUNCT asir-4886 106 1 www.scholink.org/ojs/index.php/asir www.scholink.org/ojs/index.php/asir PROPN asir-4886 106 2 applied apply VERB asir-4886 106 3 science science NOUN asir-4886 106 4 and and CCONJ asir-4886 106 5 innovative innovative ADJ asir-4886 106 6 research research NOUN asir-4886 106 7 vol vol NOUN asir-4886 106 8 . . PROPN asir-4886 107 1 6 6 NUM asir-4886 107 2 , , PUNCT asir-4886 107 3 no no INTJ asir-4886 107 4 . . NOUN asir-4886 107 5 3 3 NUM asir-4886 107 6 , , PUNCT asir-4886 107 7 2022 2022 NUM asir-4886 107 8 31 31 NUM asir-4886 107 9 published publish VERB asir-4886 107 10 by by ADP asir-4886 107 11 scholink scholink PROPN asir-4886 107 12 inc inc PROPN asir-4886 107 13 . . PROPN asir-4886 108 1 4 4 X asir-4886 108 2 . . X asir-4886 108 3 discussion discussion NOUN asir-4886 108 4 the the DET asir-4886 108 5 methods method NOUN asir-4886 108 6 used use VERB asir-4886 108 7 in in ADP asir-4886 108 8 vlbi vlbi PROPN asir-4886 108 9 are be AUX asir-4886 108 10 extremely extremely ADV asir-4886 108 11 complicated complicated ADJ asir-4886 108 12 , , PUNCT asir-4886 108 13 with with ADP asir-4886 108 14 functions function NOUN asir-4886 108 15 and and CCONJ asir-4886 108 16 data datum NOUN asir-4886 108 17 that that PRON asir-4886 108 18 can can AUX asir-4886 108 19 turn turn VERB asir-4886 108 20 a a DET asir-4886 108 21 txt txt NOUN asir-4886 108 22 file file NOUN asir-4886 108 23 full full ADJ asir-4886 108 24 of of ADP asir-4886 108 25 empty empty ADJ asir-4886 108 26 data datum NOUN asir-4886 108 27 into into ADP asir-4886 108 28 a a DET asir-4886 108 29 completed complete VERB asir-4886 108 30 image image NOUN asir-4886 108 31 . . PUNCT asir-4886 109 1 this this DET asir-4886 109 2 paper paper NOUN asir-4886 109 3 dives dive VERB asir-4886 109 4 into into ADP asir-4886 109 5 the the DET asir-4886 109 6 methods method NOUN asir-4886 109 7 of of ADP asir-4886 109 8 vlbi vlbi PROPN asir-4886 109 9 , , PUNCT asir-4886 109 10 and and CCONJ asir-4886 109 11 tries try VERB asir-4886 109 12 to to PART asir-4886 109 13 understand understand VERB asir-4886 109 14 the the DET asir-4886 109 15 workings working NOUN asir-4886 109 16 behind behind ADP asir-4886 109 17 it it PRON asir-4886 109 18 . . PUNCT asir-4886 110 1 while while SCONJ asir-4886 110 2 advanced advanced ADJ asir-4886 110 3 , , PUNCT asir-4886 110 4 there there PRON asir-4886 110 5 are be VERB asir-4886 110 6 certainly certainly ADV asir-4886 110 7 possible possible ADJ asir-4886 110 8 improvements improvement NOUN asir-4886 110 9 for for ADP asir-4886 110 10 vlbi vlbi PROPN asir-4886 110 11 technology technology NOUN asir-4886 110 12 . . PUNCT asir-4886 111 1 it it PRON asir-4886 111 2 is be AUX asir-4886 111 3 very very ADV asir-4886 111 4 possible possible ADJ asir-4886 111 5 to to PART asir-4886 111 6 add add VERB asir-4886 111 7 more more ADJ asir-4886 111 8 regularizer regularizer NOUN asir-4886 111 9 terms term NOUN asir-4886 111 10 , , PUNCT asir-4886 111 11 selecting select VERB asir-4886 111 12 even even ADV asir-4886 111 13 more more ADJ asir-4886 111 14 niche niche NOUN asir-4886 111 15 portions portion NOUN asir-4886 111 16 of of ADP asir-4886 111 17 the the DET asir-4886 111 18 data datum NOUN asir-4886 111 19 that that PRON asir-4886 111 20 will will AUX asir-4886 111 21 produce produce VERB asir-4886 111 22 clearer clear ADJ asir-4886 111 23 and and CCONJ asir-4886 111 24 more more ADV asir-4886 111 25 precise precise ADJ asir-4886 111 26 images image NOUN asir-4886 111 27 . . PUNCT asir-4886 112 1 acknowledgement acknowledgement NOUN asir-4886 112 2 i i PRON asir-4886 112 3 gratefully gratefully ADV asir-4886 112 4 acknowledge acknowledge VERB asir-4886 112 5 the the DET asir-4886 112 6 support support NOUN asir-4886 112 7 of of ADP asir-4886 112 8 qi qi PROPN asir-4886 112 9 guo guo PROPN asir-4886 112 10 from from ADP asir-4886 112 11 purdue purdue PROPN asir-4886 112 12 university university PROPN asir-4886 112 13 for for ADP asir-4886 112 14 his his PRON asir-4886 112 15 guidance guidance NOUN asir-4886 112 16 with with ADP asir-4886 112 17 the the DET asir-4886 112 18 research research NOUN asir-4886 112 19 and and CCONJ asir-4886 112 20 writing writing NOUN asir-4886 112 21 of of ADP asir-4886 112 22 this this DET asir-4886 112 23 essay essay NOUN asir-4886 112 24 . . PUNCT asir-4886 113 1 references reference NOUN asir-4886 113 2 bouman bouman PROPN asir-4886 113 3 , , PUNCT asir-4886 113 4 katherine katherine PROPN asir-4886 113 5 , , PUNCT asir-4886 113 6 l. l. PROPN asir-4886 113 7 , , PUNCT asir-4886 113 8 johnson johnson PROPN asir-4886 113 9 , , PUNCT asir-4886 113 10 michael michael PROPN asir-4886 113 11 , , PUNCT asir-4886 113 12 d. d. PROPN asir-4886 113 13 , , PUNCT asir-4886 113 14 zoran zoran PROPN asir-4886 113 15 , , PUNCT asir-4886 113 16 daniel daniel PROPN asir-4886 113 17 , , PUNCT asir-4886 113 18 fish fish NOUN asir-4886 113 19 , , PUNCT asir-4886 113 20 vincent vincent PROPN asir-4886 113 21 , , PUNCT asir-4886 113 22 l. l. PROPN asir-4886 113 23 , , PUNCT asir-4886 113 24 doeleman doeleman NOUN asir-4886 113 25 , , PUNCT asir-4886 113 26 sheperd sheperd NOUN asir-4886 113 27 , , PUNCT asir-4886 113 28 s. s. PROPN asir-4886 113 29 , , PUNCT asir-4886 113 30 & & CCONJ asir-4886 113 31 freeman freeman PROPN asir-4886 113 32 , , PUNCT asir-4886 113 33 william william PROPN asir-4886 113 34 , , PUNCT asir-4886 113 35 t. t. PROPN asir-4886 113 36 ( ( PUNCT asir-4886 113 37 2016 2016 NUM asir-4886 113 38 ) ) PUNCT asir-4886 113 39 . . PUNCT asir-4886 114 1 computational computational ADJ asir-4886 114 2 imaging imaging NOUN asir-4886 114 3 for for ADP asir-4886 114 4 vlbi vlbi PROPN asir-4886 114 5 image image NOUN asir-4886 114 6 reconstruction reconstruction NOUN asir-4886 114 7 . . PUNCT asir-4886 115 1 2016 2016 NUM asir-4886 115 2 ieee ieee NOUN asir-4886 115 3 conference conference NOUN asir-4886 115 4 on on ADP asir-4886 115 5 computer computer NOUN asir-4886 115 6 vision vision NOUN asir-4886 115 7 and and CCONJ asir-4886 115 8 pattern pattern NOUN asir-4886 115 9 recognition recognition NOUN asir-4886 115 10 ( ( PUNCT asir-4886 115 11 cvpr cvpr NOUN asir-4886 115 12 ) ) PUNCT asir-4886 115 13 . . PUNCT asir-4886 116 1 bouman bouman PROPN asir-4886 116 2 , , PUNCT asir-4886 116 3 katherine katherine PROPN asir-4886 116 4 , , PUNCT asir-4886 116 5 l. l. PROPN asir-4886 116 6 , , PUNCT asir-4886 116 7 johnson johnson PROPN asir-4886 116 8 , , PUNCT asir-4886 116 9 michael michael PROPN asir-4886 116 10 , , PUNCT asir-4886 116 11 d. d. PROPN asir-4886 116 12 , , PUNCT asir-4886 116 13 zoran zoran PROPN asir-4886 116 14 , , PUNCT asir-4886 116 15 daniel daniel PROPN asir-4886 116 16 , , PUNCT asir-4886 116 17 fish fish NOUN asir-4886 116 18 , , PUNCT asir-4886 116 19 vincent vincent PROPN asir-4886 116 20 , , PUNCT asir-4886 116 21 l. l. PROPN asir-4886 116 22 , , PUNCT asir-4886 116 23 doeleman doeleman NOUN asir-4886 116 24 , , PUNCT asir-4886 116 25 sheperd sheperd NOUN asir-4886 116 26 , , PUNCT asir-4886 116 27 s. s. PROPN asir-4886 116 28 , , PUNCT asir-4886 116 29 & & CCONJ asir-4886 116 30 freeman freeman PROPN asir-4886 116 31 , , PUNCT asir-4886 116 32 william william PROPN asir-4886 116 33 , , PUNCT asir-4886 116 34 t. t. PROPN asir-4886 116 35 ( ( PUNCT asir-4886 116 36 2016 2016 NUM asir-4886 116 37 ) ) PUNCT asir-4886 116 38 . . PUNCT asir-4886 117 1 computational computational ADJ asir-4886 117 2 imaging imaging NOUN asir-4886 117 3 for for ADP asir-4886 117 4 vlbi vlbi PROPN asir-4886 117 5 image image NOUN asir-4886 117 6 reconstruction reconstruction NOUN asir-4886 117 7 supplemental supplemental ADJ asir-4886 117 8 materials material NOUN asir-4886 117 9 . . PUNCT asir-4886 118 1 2016 2016 NUM asir-4886 118 2 ieee ieee NOUN asir-4886 118 3 conference conference NOUN asir-4886 118 4 on on ADP asir-4886 118 5 computer computer NOUN asir-4886 118 6 vision vision NOUN asir-4886 118 7 and and CCONJ asir-4886 118 8 pattern pattern NOUN asir-4886 118 9 recognition recognition NOUN asir-4886 118 10 ( ( PUNCT asir-4886 118 11 cvpr cvpr NOUN asir-4886 118 12 ) ) PUNCT asir-4886 118 13 . . PUNCT asir-4886 119 1 the the DET asir-4886 119 2 event event NOUN asir-4886 119 3 horizon horizon PROPN asir-4886 119 4 telescope telescope NOUN asir-4886 119 5 collaboration collaboration NOUN asir-4886 119 6 ( ( PUNCT asir-4886 119 7 2019 2019 NUM asir-4886 119 8 , , PUNCT asir-4886 119 9 april april PROPN asir-4886 119 10 10 10 NUM asir-4886 119 11 ) ) PUNCT asir-4886 119 12 . . PUNCT asir-4886 120 1 first first ADJ asir-4886 120 2 m87 m87 PROPN asir-4886 120 3 event event NOUN asir-4886 120 4 horizon horizon NOUN asir-4886 120 5 telescope telescope NOUN asir-4886 120 6 results result VERB asir-4886 120 7 . . PUNCT asir-4886 121 1 i. i. PROPN asir-4886 121 2 the the DET asir-4886 121 3 shadow shadow NOUN asir-4886 121 4 of of ADP asir-4886 121 5 the the DET asir-4886 121 6 supermassive supermassive ADJ asir-4886 121 7 black black ADJ asir-4886 121 8 hole hole NOUN asir-4886 121 9 . . PUNCT asir-4886 122 1 the the DET asir-4886 122 2 astrophysical astrophysical ADJ asir-4886 122 3 journal journal NOUN asir-4886 122 4 letters letter NOUN asir-4886 122 5 , , PUNCT asir-4886 122 6 875(1 875(1 NUM asir-4886 122 7 ) ) PUNCT asir-4886 122 8 , , PUNCT asir-4886 122 9 l1 l1 PROPN asir-4886 122 10 . . PUNCT asir-4886 123 1 very very ADV asir-4886 123 2 long long ADJ asir-4886 123 3 baseline baseline NOUN asir-4886 123 4 array array NOUN asir-4886 123 5 ( ( PUNCT asir-4886 123 6 vlba vlba PROPN asir-4886 123 7 ) ) PUNCT asir-4886 123 8 . . PUNCT asir-4886 124 1 national national ADJ asir-4886 124 2 radio radio PROPN asir-4886 124 3 astronomy astronomy NOUN asir-4886 124 4 observatory observatory NOUN asir-4886 124 5 . . PUNCT