采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: }
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%Display the Zernike function Z(n=5,m=1) 7lh%\
clc Bz24U wcZ
clear =GLsoc-b
a=5;%%%%%%%%%%Z的阶数下标 c\R!z&y~
b=1;%%%%%%%%%%Z的阶数的上标 ir\
x = -1:0.01:1; EJ86k>]
[X,Y] = meshgrid(x,x); 3w0m:~KS6V
[theta,r] = cart2pol(X,Y); Dm5UQe
idx = r<=1; \"f}Fx
z = nan(size(X)); 5[ @4($q8
z(idx) = zernfun(a,b,r(idx),theta(idx)); #cApk
figure(1) 8..itty
pcolor(x,x,z), shading interp f[%iRfUFw
axis square, colorbar @@I2bHyvb
xlabel('X'); )JZfC&,
ylabel('Y'); }b+=, Sc"
title(['Zernike function Z^a_b','(r,\theta)']) Ru
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figure(2) B'=*92i>S
mesh(x,x,z) kp0>8rkF
xlabel('X'); @c&)K^v8
ylabel('Y'); 7#<|``]zNf
title(['Zernike function Z^a_b','(r,\theta)'])