采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: ]AGJPuX
%Display the Zernike function Z(n=5,m=1) m GWT</=[$
clc 'H`_Z e<
clear 9k^;]jE
a=5;%%%%%%%%%%Z的阶数下标 rY>{L6d
b=1;%%%%%%%%%%Z的阶数的上标 %&"_=Lc
x = -1:0.01:1; 1px:(8]{
[X,Y] = meshgrid(x,x); BcT|TX+ct
[theta,r] = cart2pol(X,Y); )(&g\
idx = r<=1; P$)9osr
z = nan(size(X)); 2I'\o7Y
z(idx) = zernfun(a,b,r(idx),theta(idx)); ujcNSX*
figure(1) (iK0T.
pcolor(x,x,z), shading interp VPf*>ph=
axis square, colorbar ~`M GXd"o
xlabel('X'); u+zq:2)H6
ylabel('Y'); flLC\
title(['Zernike function Z^a_b','(r,\theta)']) n\ma5"n0=\
figure(2) ?|:!PF*L~z
mesh(x,x,z) }@OykN
xlabel('X'); &,fBg6A%
ylabel('Y'); #cQ[ vE)y
title(['Zernike function Z^a_b','(r,\theta)'])