采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: 3@Zz-~4Td
%Display the Zernike function Z(n=5,m=1) `!Ge"JB6
clc D|Ih e%w-
clear @E"+qPp.3
a=5;%%%%%%%%%%Z的阶数下标 Mc$v~|i6
b=1;%%%%%%%%%%Z的阶数的上标 o trTrh
x = -1:0.01:1; %)6:eIS
[X,Y] = meshgrid(x,x); }eDX8b8emA
[theta,r] = cart2pol(X,Y); wzQdKlV
idx = r<=1; 'Qs3
z = nan(size(X)); =:n[{/O=
z(idx) = zernfun(a,b,r(idx),theta(idx)); a`@<Z sR
figure(1) 21/a3Mlx#
pcolor(x,x,z), shading interp 53u.pc
axis square, colorbar ;@ll
xlabel('X'); u>Axq3F
ylabel('Y'); )q]j?Z.
title(['Zernike function Z^a_b','(r,\theta)']) &J&w4"0N'
figure(2) ?/l}(t$H
mesh(x,x,z) ^?^|Y?f2P?
xlabel('X'); HDW\S#
ylabel('Y'); dV2b)p4J
title(['Zernike function Z^a_b','(r,\theta)'])