采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： 7":0CU% %
%Display the Zernike function Z(n=5,m=1) zc-.W2"Hu
clc L pdp'9>I
clear dmD ':1
a=5;%%%%%%%%%%Z的阶数下标 4E& 3{hnp
b=1;%%%%%%%%%%Z的阶数的上标 a|@^ N
x = -1:0.01:1; N5[fw z
w
[X,Y] = meshgrid(x,x); N8l(m5Kk,k
[theta,r] = cart2pol(X,Y); Lw.N3!e[
idx = r<=1; R :v` \
z = nan(size(X)); KArnNmJ9
z(idx) = zernfun(a,b,r(idx),theta(idx)); QJ
s /0iw
figure(1) # 1,( I
pcolor(x,x,z), shading interp p68)
0
axis square, colorbar PRCr7f
xlabel('X'); ghiFI<)VY
ylabel('Y'); %+9Mr ami
title(['Zernike function Z^a_b','(r,\theta)']) 8a1G0HRQ
figure(2) ,Tyh ._sa
mesh(x,x,z) %-:6#b z
xlabel('X'); N|h}'p
ylabel('Y'); w_I}FPT<(:
title(['Zernike function Z^a_b','(r,\theta)'])
