采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： O,$
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%Display the Zernike function Z(n=5,m=1) #0;H'GO?c
clc /'
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clear MST\_s%[
a=5;%%%%%%%%%%Z的阶数下标 xN^ngRg0
b=1;%%%%%%%%%%Z的阶数的上标 OrN~ Y#D
x = -1:0.01:1; \J]qd4tF
[X,Y] = meshgrid(x,x); d&N[ \5 q
[theta,r] = cart2pol(X,Y); )GbVgYkk
idx = r<=1; |.asg
z = nan(size(X)); w +^z{3>
z(idx) = zernfun(a,b,r(idx),theta(idx)); hxt,%al
figure(1) nnw5
!q_
pcolor(x,x,z), shading interp a$}n4p
axis square, colorbar 28u3B2\$
xlabel('X'); N;\G=q]
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ylabel('Y'); *hm;C+<~
title(['Zernike function Z^a_b','(r,\theta)']) DK \Ud6w
figure(2) MLd*WpiI.
mesh(x,x,z)
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xlabel('X'); } `X.^}oe
ylabel('Y'); TbK;_pg
title(['Zernike function Z^a_b','(r,\theta)'])
