D:\sbornik\...\Tigran.DVI


Mathematical Problems of Computer Science 28, 2007, 51{59.

Quater nionic Four ier T r ansfor m for E nhancement and

Compr ession of Color I mages

Tig r a n Ma n u kya n

Institue for Informatics and Automation Problems of NAS of RA

e-mail: tigran ipia@yahoo.com

Abstract

This paper presents color image processing and analysis using quaternionic Fourier
transform (QFT). Algorithm of color image enhancement is described. Image com-
pression using QFT is considered. Results using the suggested method are compared
with the results using existing methods.

Refer ences

[1 ] A h m e d a n d R a o . Or t h o g o n a l Tr a n s fo r m s fo r D ig it a l S ig n a l P r o c e s s in g . S p r in g e r -V e r la g ,
N e w Y o r k, 1 9 7 5 .

[2 ] Y a r g la g a d d a R a o R .K ., H e r s h e y E .J. H a d a m a r d Ma t r ix A n a lys is a n d S yn t h e s is wit h
A p p lic a t io n s in S ig n a l/ Im a g e P r o c e s s in g , 1 9 9 7 .

[3 ] H a ko b S a r u kh a n ya n , A r t h u r P e t r o s ia n . Co n s t r u c t io n a n d A p p lic a t io n o f H yb r id W a ve le t
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V is io n , vo l. 2 3 , 2 0 0 5 , p .2 5 -4 6 .

[4 ] Th o m a s B u lo w, " H yp e r c o m p le x S p e c t r a l S ig n a l R e p r e s e n t a t io n s fo r t h e P r o c e s s in g a n d
A n a lys is o f Im a g e s " , 1 9 9 9

[5 ] S . J. S a n g win e a n d T. A . E ll, " H yp e r c o m p le x Fo u r ie r Tr a n s fo r m s o f Co lo r Im a g e ."

[6 ] To d d A n t h o n y E ll. Qu a t e r n io n -Fo u r ie r Tr a n s fo r m s fo r t h e a n a lys is o f Two -d im e n s io n a l
lin e a r t im e -in va r ia n t p a r t ia l d i®e r e n t ia l s ys t e m s . IE E E , 1 9 9 3

[7 ] S o s S . A g a ia n , K a r e n P a n e t t a a n d A r t yo m M. Gr ig o r ya n , Tr a n s fo r m -B a s e d Im a g e E n -
h a n c e m e n t A lg o r it h m s wit h P e r fo r m a n c e Me a s u r e . IE E E Tr a n s . On Im a g e P r o c e s s in g ,
vo l. 1 0 , N o . 3 , 2 0 0 1

5 1



5 2 Quaternionic Fourier Transform for Enhancement and Compression of Color Images

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