采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: <=]:ED $V@
%Display the Zernike function Z(n=5,m=1) h-6x! 6pm
clc 8*^*iEsR
clear 6 -BC/
a=5;%%%%%%%%%%Z的阶数下标 UBw*}p
b=1;%%%%%%%%%%Z的阶数的上标 x:+]^?}r
x = -1:0.01:1; cnB:bQQK8
[X,Y] = meshgrid(x,x); 7{p6&xXx
[theta,r] = cart2pol(X,Y); HL%|DCo
idx = r<=1; K"8!
z = nan(size(X)); vngn^2
z(idx) = zernfun(a,b,r(idx),theta(idx)); S]?I7_
figure(1) ('+C $
pcolor(x,x,z), shading interp cH6J:0>W
axis square, colorbar ~cSE 9ul
xlabel('X'); H3+P;2{
ylabel('Y'); w d6+,B
title(['Zernike function Z^a_b','(r,\theta)']) oB+Ek~{z]
figure(2) |%@pjJ`3
mesh(x,x,z) DDe`Lb%%
xlabel('X'); 5=Il2
ylabel('Y'); XA\wZV
|{
title(['Zernike function Z^a_b','(r,\theta)'])