采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： b` 1P%OjC
%Display the Zernike function Z(n=5,m=1) 1z{Azp MZ
clc \+
K
^G
clear <~f/T]E,
a=5;%%%%%%%%%%Z的阶数下标 u TO L
b=1;%%%%%%%%%%Z的阶数的上标 ( 2<0kqj%
x = -1:0.01:1; 8_W<BXW
[X,Y] = meshgrid(x,x); j# o0y5S
[theta,r] = cart2pol(X,Y); ='YR ;
idx = r<=1; FJ~Dg3F1
z = nan(size(X)); UiW( /L
z(idx) = zernfun(a,b,r(idx),theta(idx)); bp; ) *
figure(1) ba|~B8rII[
pcolor(x,x,z), shading interp nz+DPk["
axis square, colorbar ]#_ ,?d
xlabel('X'); Y pXUYNy
ylabel('Y'); .~C*7_
title(['Zernike function Z^a_b','(r,\theta)']) 1 vi<@i,
figure(2) G^oBu^bq~
mesh(x,x,z) ~E#>2Mh
xlabel('X'); 5,;{< \c
ylabel('Y'); HuCH`|v-
title(['Zernike function Z^a_b','(r,\theta)'])
