采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： rr G}; A
%Display the Zernike function Z(n=5,m=1) -U|Z9sia
clc 7ab'q&Y[
clear I [n|#N
a=5;%%%%%%%%%%Z的阶数下标 ` ^;J<l
b=1;%%%%%%%%%%Z的阶数的上标 y qP=6
x = -1:0.01:1; :G &:v
[X,Y] = meshgrid(x,x); }-Jo9dNs
[theta,r] = cart2pol(X,Y); $Xqc'4YOZ
idx = r<=1; @S6@pMo,
z = nan(size(X)); ~JP3C5q
z(idx) = zernfun(a,b,r(idx),theta(idx)); \~ l "
figure(1) v <mSd2B*
pcolor(x,x,z), shading interp ;Nd'GA+1;(
axis square, colorbar E
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xlabel('X'); n3$u9!|P
ylabel('Y'); v@{VQVx
title(['Zernike function Z^a_b','(r,\theta)']) FRXaPod
figure(2) _9?v?mL5;
mesh(x,x,z) "Jdi> {o8
xlabel('X'); &kT!GU^n
ylabel('Y'); -z%->OUu
title(['Zernike function Z^a_b','(r,\theta)'])
