采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： ^atBf![
%Display the Zernike function Z(n=5,m=1) v
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clc l+1GA0'JP
clear p%6j2;D
a=5;%%%%%%%%%%Z的阶数下标 Z*(lg$A9 M
b=1;%%%%%%%%%%Z的阶数的上标 &D 4Ci _6k
x = -1:0.01:1; +#! !
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[X,Y] = meshgrid(x,x); wFJ?u?b0Q
[theta,r] = cart2pol(X,Y); ij=}3;L_!
idx = r<=1; 0jN ?5j
z = nan(size(X)); *"D8E^9
z(idx) = zernfun(a,b,r(idx),theta(idx)); ?=h{`Ci^ $
figure(1) tgbr/eCoU
pcolor(x,x,z), shading interp cQMb+ Q2Yw
axis square, colorbar icPg<>TQ
xlabel('X'); :9`T.V<?
ylabel('Y'); Mo2b"A;}|
title(['Zernike function Z^a_b','(r,\theta)']) s~( iB{-
figure(2) Ya)s_Zr7
mesh(x,x,z) Lh5d2}tcO
xlabel('X'); ,??%["R
ylabel('Y'); 4F+n` {~
title(['Zernike function Z^a_b','(r,\theta)'])
