采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: 5wRDH1z@{
%Display the Zernike function Z(n=5,m=1) BkA>':bUr
clc
k$}XZ,Q
clear 1@E<5rp o
a=5;%%%%%%%%%%Z的阶数下标 {{f%w$r(
b=1;%%%%%%%%%%Z的阶数的上标 6*kY7
x = -1:0.01:1; 6=90 wu3
[X,Y] = meshgrid(x,x); I5Foh|)
[theta,r] = cart2pol(X,Y); Q0,]Q ]_
idx = r<=1; FM0)/6I'x
z = nan(size(X)); ~y_TT5+3
z(idx) = zernfun(a,b,r(idx),theta(idx)); xv 's52x
figure(1) ]0xbvJ8oK
pcolor(x,x,z), shading interp e<l Wel
axis square, colorbar %#02Z%?%
xlabel('X'); c_O|?1
ylabel('Y'); '%V ;oJ"
title(['Zernike function Z^a_b','(r,\theta)']) mR[J Xh9s
figure(2) +=|Q'V
mesh(x,x,z) `9s5 *;Z
xlabel('X'); q*@7A6:FV>
ylabel('Y'); )1lR;fD
title(['Zernike function Z^a_b','(r,\theta)'])