采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： 'yiv.<4
%Display the Zernike function Z(n=5,m=1) yJ? =##
clc $mJv\;t
clear Ze0qRLuH!
a=5;%%%%%%%%%%Z的阶数下标 m,HE4`g
b=1;%%%%%%%%%%Z的阶数的上标 q1rj!7
x = -1:0.01:1; H'WYnhU&
[X,Y] = meshgrid(x,x); (.#nl}fA
[theta,r] = cart2pol(X,Y); c6:uM1V{
idx = r<=1; yY#h 1
z = nan(size(X)); Kd oI
z(idx) = zernfun(a,b,r(idx),theta(idx)); =; Q/bD->
figure(1) og";mC
pcolor(x,x,z), shading interp 6_`Bo%
axis square, colorbar
Qz@_" wm[
xlabel('X'); GN_L"|#)=
ylabel('Y'); (2b${ Q@V
title(['Zernike function Z^a_b','(r,\theta)']) &2W"4SE]6
figure(2) YrL(4 Nt8
mesh(x,x,z) fw&*;a z
xlabel('X'); QT c{7&
ylabel('Y'); ,b5'<3\
title(['Zernike function Z^a_b','(r,\theta)'])
