oy87188 |
2019-04-11 18:15 |
zernike多项式的matlab编程表示图例
采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: PH:5 %Display the Zernike function Z(n=5,m=1) /FC
HF#yK clc hLuv clear .81Y/Gad_ a=5;%%%%%%%%%%Z的阶数下标 Z : xb8]y b=1;%%%%%%%%%%Z的阶数的上标 YZ8[h`z x = -1:0.01:1; I;E?;i [X,Y] = meshgrid(x,x); (tVT&eO [theta,r] = cart2pol(X,Y); u*I'c2m idx = r<=1; W!O/t^H> z = nan(size(X)); &k_*Y-l7] z(idx) = zernfun(a,b,r(idx),theta(idx)); uF}dEDB|; figure(1) ys`oHSf pcolor(x,x,z), shading interp hF@%k
;I axis square, colorbar :*|Ua%L_ xlabel('X'); ~@l4T_,k ylabel('Y'); ,K\7y2/ title(['Zernike function Z^a_b','(r,\theta)']) 9@ fSO< figure(2) \ HUDZ2 s mesh(x,x,z) 1Hr1Ir<KR xlabel('X'); xxl|j$m ylabel('Y'); h6O'" title(['Zernike function Z^a_b','(r,\theta)'])
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