采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： y0] "qB
%Display the Zernike function Z(n=5,m=1) A1Es>NK[qW
clc 7TtDI=f
clear %`bn=~T^
a=5;%%%%%%%%%%Z的阶数下标 ##6u
b=1;%%%%%%%%%%Z的阶数的上标 oL
U !x
x = -1:0.01:1; }v xRjO,
[X,Y] = meshgrid(x,x); XwZR
Kh\>=
[theta,r] = cart2pol(X,Y); l J
Jn@A
idx = r<=1; U<|*V5
z = nan(size(X)); I ]ZksC
z(idx) = zernfun(a,b,r(idx),theta(idx)); X=@bzL;eq
figure(1) PO nF_FC
pcolor(x,x,z), shading interp .4J7 ^l
axis square, colorbar ^U9 b) KA
xlabel('X'); ;$vVYC
ylabel('Y'); 3!op'X!
title(['Zernike function Z^a_b','(r,\theta)']) GJ\bZ"vDo
figure(2) 8b"vXNB.f
mesh(x,x,z) T@xaa\bzg
xlabel('X'); $sFqMy
ylabel('Y'); nx Jx 8d"
title(['Zernike function Z^a_b','(r,\theta)'])
