采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： hW<%R]^|
%Display the Zernike function Z(n=5,m=1) p%ki>p )E|
clc q])K,)
clear Xg6Jh ``
a=5;%%%%%%%%%%Z的阶数下标 1er
TldX
b=1;%%%%%%%%%%Z的阶数的上标 1 C+13LE$U
x = -1:0.01:1; {p2!|A&a
[X,Y] = meshgrid(x,x); hE{K=Tz$
[theta,r] = cart2pol(X,Y); `bq<$e
idx = r<=1; <sbu;dQ`
z = nan(size(X)); 70d 1ReQ
z(idx) = zernfun(a,b,r(idx),theta(idx)); Z-%\
<zT
figure(1) =IZT(8
pcolor(x,x,z), shading interp 2k~l$p>CN!
axis square, colorbar #~]zh HI
xlabel('X'); F e*R
ylabel('Y'); !)f\%lb
title(['Zernike function Z^a_b','(r,\theta)']) `7E;VL^Y1
figure(2) ZvM(Q=^
mesh(x,x,z) WCZjXDiwJ
xlabel('X'); gjyYCjF
ylabel('Y'); LE Nq_@$
title(['Zernike function Z^a_b','(r,\theta)'])
