采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: "gR W91
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%Display the Zernike function Z(n=5,m=1) y].vll8R
clc }.uB6&!:
clear -@wnQ?
a=5;%%%%%%%%%%Z的阶数下标 2L'vB1`
b=1;%%%%%%%%%%Z的阶数的上标 C9`J6Uu
x = -1:0.01:1; AxXFzMW
[X,Y] = meshgrid(x,x); X)tf3M
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[theta,r] = cart2pol(X,Y); JpFfO<uO
idx = r<=1; j\ dY
z = nan(size(X)); 7:Jyu/*]
z(idx) = zernfun(a,b,r(idx),theta(idx)); h7EKb-@
figure(1) ~sI$xX!
pcolor(x,x,z), shading interp Zv`j+b
axis square, colorbar v0ngM)^q
xlabel('X'); A=v^`a03I
ylabel('Y'); 5K~kzRL$r
title(['Zernike function Z^a_b','(r,\theta)']) b`4R`mo
figure(2) T%%+v#+
mesh(x,x,z) `@Q%}J
xlabel('X'); *acN/Ca1
ylabel('Y'); /<HEcB
title(['Zernike function Z^a_b','(r,\theta)'])