采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： 44~hw:
%Display the Zernike function Z(n=5,m=1) !.*iw
k`
clc ypl G18
clear Tpb"uBiXoo
a=5;%%%%%%%%%%Z的阶数下标 ) &:L'N
b=1;%%%%%%%%%%Z的阶数的上标 yPoSJzC=[
x = -1:0.01:1; * jE;9^
[X,Y] = meshgrid(x,x); >k;p.Pay%
[theta,r] = cart2pol(X,Y); Yk'm?p#~
idx = r<=1; q6R Eh ;$
z = nan(size(X)); *1$
z(idx) = zernfun(a,b,r(idx),theta(idx)); *}w+ 68eO
figure(1) 6Cv.5V hx
pcolor(x,x,z), shading interp 5rloK "
axis square, colorbar 0elxA8Z~e
xlabel('X'); P\ AqpQv
ylabel('Y'); et` 0Je
title(['Zernike function Z^a_b','(r,\theta)']) !p',Za
figure(2) i $C-)d]
mesh(x,x,z) f!x[ln<
xlabel('X'); WI&lj<*
ylabel('Y'); rEM#D]k
title(['Zernike function Z^a_b','(r,\theta)'])
