采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： DD$YMM
%Display the Zernike function Z(n=5,m=1) [ {@0/5i
clc X 0\O3l* j
clear :xwyE(w
a=5;%%%%%%%%%%Z的阶数下标 -]hk2Q0
b=1;%%%%%%%%%%Z的阶数的上标 ' tyblj C
x = -1:0.01:1; 0i |z$QRL~
[X,Y] = meshgrid(x,x); * z85 2@
[theta,r] = cart2pol(X,Y); ~| CWy
idx = r<=1; kz=Ql|@
z = nan(size(X)); nev@ykP6
z(idx) = zernfun(a,b,r(idx),theta(idx)); B=!&rKF
figure(1) ut/3?E1 Z
pcolor(x,x,z), shading interp kn 5X:@{
axis square, colorbar )O}q{4 ,}
xlabel('X'); D_s0)|j$cy
ylabel('Y'); "|k 4<"]
title(['Zernike function Z^a_b','(r,\theta)']) +wPXDN#R
figure(2) k4i*80
mesh(x,x,z) (Mzv"F N]
xlabel('X'); Dt]N&E#\D
ylabel('Y'); mc
FSWmq
title(['Zernike function Z^a_b','(r,\theta)'])
