采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: 4AYW'j C
%Display the Zernike function Z(n=5,m=1) ||'A9
clc h4=7{0[
clear t?h\Af4Tf
a=5;%%%%%%%%%%Z的阶数下标 6<{SbE|G{
b=1;%%%%%%%%%%Z的阶数的上标 Z!I#Z2X
x = -1:0.01:1; \{a 64
[X,Y] = meshgrid(x,x); d ZxrIWx
[theta,r] = cart2pol(X,Y); ML:H\
idx = r<=1; #*
Iyvx
z = nan(size(X)); }W
nvz;]B
z(idx) = zernfun(a,b,r(idx),theta(idx)); 8Wx7%@^O
figure(1) `bjPOA(g
pcolor(x,x,z), shading interp ah15,<j
axis square, colorbar AV;x'H7G
xlabel('X'); Zn]!*}
ylabel('Y'); 3W55m@w
title(['Zernike function Z^a_b','(r,\theta)']) imZ"4HnPP
figure(2) !z"nJC
mesh(x,x,z) IV|})[n*
xlabel('X'); uex([;y
ylabel('Y'); hd#MV!ti
title(['Zernike function Z^a_b','(r,\theta)'])