采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: cC8$ oCR?
%Display the Zernike function Z(n=5,m=1) L`t786
(M
clc m0G"Aj
clear IQBL;=.J.
a=5;%%%%%%%%%%Z的阶数下标 LsR<r1KDJ
b=1;%%%%%%%%%%Z的阶数的上标 v8-szW).
x = -1:0.01:1; kV8R.Baf3
[X,Y] = meshgrid(x,x); &tOo[U?
[theta,r] = cart2pol(X,Y); RlfI]uCDM
idx = r<=1; !KV!Tkx h
z = nan(size(X)); +HE,Q6-A
z(idx) = zernfun(a,b,r(idx),theta(idx)); CX#d
figure(1) )F9IzR-&m
pcolor(x,x,z), shading interp MKtI3vi?
axis square, colorbar 8z93ETv7`
xlabel('X'); 1=]#=)+
ylabel('Y'); 3\2&?VAjR
title(['Zernike function Z^a_b','(r,\theta)']) ^(Gl$GC$Mu
figure(2) !jP[=
mesh(x,x,z) 8h
ol4'B
xlabel('X'); .Z7tE?
ylabel('Y'); /: !sn-(
title(['Zernike function Z^a_b','(r,\theta)'])