采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: M6A0D+08
%Display the Zernike function Z(n=5,m=1) 60ciI,_`
clc 9* 3;v;F
clear +!ljq~%
a=5;%%%%%%%%%%Z的阶数下标 b|E ZD3y
b=1;%%%%%%%%%%Z的阶数的上标 SvkCx>6/G
x = -1:0.01:1; C,mfA%63
[X,Y] = meshgrid(x,x); T+RC#&>
[theta,r] = cart2pol(X,Y); *]R5bj.!o
idx = r<=1; Fkpaou
z = nan(size(X)); H0])>1sWB
z(idx) = zernfun(a,b,r(idx),theta(idx)); IaOR%Bg
figure(1) m:0[as=
pcolor(x,x,z), shading interp .w{Y3,dd>
axis square, colorbar ,H.5TQ#
xlabel('X'); P4{~fh (
ylabel('Y'); .=-a1p/
title(['Zernike function Z^a_b','(r,\theta)']) OXKV6r6f
figure(2) iWA?FBv
mesh(x,x,z) QT!>izgcU
xlabel('X'); ue+{djz[4
ylabel('Y'); rx9y^E5T`;
title(['Zernike function Z^a_b','(r,\theta)'])