采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: c(!6^qk]!`
%Display the Zernike function Z(n=5,m=1) tasUZ#\6
clc 1JztFix
clear [co% :xJu
a=5;%%%%%%%%%%Z的阶数下标 U56G.
b=1;%%%%%%%%%%Z的阶数的上标 - `p4-J!Fy
x = -1:0.01:1; H@%GSE
[X,Y] = meshgrid(x,x); 0:9.;x9_
[theta,r] = cart2pol(X,Y); (oEC6F
idx = r<=1; m 8aITd8
z = nan(size(X)); 2QJ{a46}
z(idx) = zernfun(a,b,r(idx),theta(idx)); v":x4!kdX
figure(1) 9s6U}a'c
pcolor(x,x,z), shading interp <Bw^!.jAF
axis square, colorbar !,6c ~ w
xlabel('X'); 4nh>'v%pD
ylabel('Y'); &e#~<Wm82
title(['Zernike function Z^a_b','(r,\theta)']) 3'cE\u
figure(2) *Zt#U#
mesh(x,x,z) KG|n
xlabel('X'); ]x(e&fyHB
ylabel('Y'); m^ tFi7c
title(['Zernike function Z^a_b','(r,\theta)'])