采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: T_;G))q'
%Display the Zernike function Z(n=5,m=1) XN 0RT>@
clc '!|E+P-
clear |[n|=ORI'
a=5;%%%%%%%%%%Z的阶数下标 Tl0+Bq
b=1;%%%%%%%%%%Z的阶数的上标 ^PCL^]W
x = -1:0.01:1; c9_4ohB
[X,Y] = meshgrid(x,x); *rMN,B@
[theta,r] = cart2pol(X,Y); tIp\MXkTQ&
idx = r<=1; \FaB!7*~
z = nan(size(X)); HN&vk/[
z(idx) = zernfun(a,b,r(idx),theta(idx)); 9#=IrlV4
figure(1) xBx?>nN
pcolor(x,x,z), shading interp a!6OE"?QQ
axis square, colorbar W3{5Do.h
xlabel('X'); >Gu>T\jpe.
ylabel('Y'); e715)_HD
title(['Zernike function Z^a_b','(r,\theta)']) a0v1LT6
figure(2) {7MgN'4
mesh(x,x,z) IEKX'+t'
xlabel('X'); JeSkNs|vB
ylabel('Y'); ysP/@;jC
title(['Zernike function Z^a_b','(r,\theta)'])