id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
gi-4940	Bayer, Tomáš	Plotting the map projection graticule involving discontinuities based on combined sampling	2018	34	.pdf	application/pdf	14702	704	70	Analogously, for the polygonal approximation of Ωϕ,j,k bounds are pa,k−1 = pred(pa,k), pb,k+1 = succ(pb,k), where pa,k−1 = [xa,k−1, ya,k−1], pa,k = [xa,k, ya,k] ≡ pb,k−1, pb,k = [xb,k, yb,k] ≡ pa,k+1, pb,k+1 = [xb,k+1, yb,k+1], and xa,k−1 = F (ak−1, λ), xa,k = F (ak, λ), xb,k = F (bk, λ), xb,k+1 = F (bk+1, λ); see Fig. 1: function csMer(P, Lλ,j,k, ak, bk, ak−1, bk+1, xa, ya, xb, yb, d, d, d, ε, α)) 2: if (d > d) ∨ (bk − ak < ε) then 3: return 4: ri = rand(0.45, 0.55), i = 0, ..., 4 5: ϕ1,k = ak + 1 2r1(bk − ak), ϕ2,k = a+ r2(bk − a), ϕ3,k = a+ 3 2r3(bk − ak) 6: ϕ3,k−1 = ak + 1 2r1(bk−1 − ak), ϕ1,k+1 = bk + r4(bk+1 − bk) 7: if discontinuity in (ϕi,k, λ) in ϕ direction then 8: throw LatSingularityException (ϕi,k), i = 1, 2, 3 9: if discontinuity in (ϕi,k, λ) in λ direction then 10: throw LonSingularityException (λ), i = 1, 2, 3 11: x3,k−1 = F (ϕ3,k−1, λ), y3,k−1 = G(ϕ3,k−1, λ) 12: xi,k = F (ϕi,k, λ), yi,k = G(ϕi,k, λ), i = 1, 2, 3 13: x1,k+1 = F (ϕ1,k+1, λ), y1,k+1 = G(ϕ1,k+1, λ) 14: pa,k = Point(xa,k, ya,k), pb,k = Point(xb,k, yb,k) 15: pi,k = Point(xi,k, yi,k), i = 1, 2, 3 16: p3,k−1 = Point(x3,k−1, y3,k−1), p1,k+1 = Point(x1,k+1, y1,k+1) 17: α1 = α(pa,k, p1,k, p2,k), α2 = α(p1,k, p2,k, p3,k), α3 = α(p2,k, p3,k, pb,k) 18: α0 = α(p3,k−1, pa,k, p1,k), α4 = α(p3,k, pb,k, p1,k+1) 19: if (α0 > α) ∨ (α1 > α) ∨ (α2 > α) ∨ (α3 > α) ∨ (α4 > α) ∨ (d <= d))	cache/gi-4940.pdf	txt/gi-4940.txt