采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: v @N8v
%Display the Zernike function Z(n=5,m=1) up2%QbN(
clc U.6hLFcE
clear JrL/LGY
a=5;%%%%%%%%%%Z的阶数下标 H[Pb Wy:
b=1;%%%%%%%%%%Z的阶数的上标 G(0bulq
x = -1:0.01:1; (%fGS.TR
[X,Y] = meshgrid(x,x); 4
|5ekwk
[theta,r] = cart2pol(X,Y); P7y[9|^
idx = r<=1; (x$k\H
z = nan(size(X)); *BO4"3Z
z(idx) = zernfun(a,b,r(idx),theta(idx)); 7_Q86o
figure(1) MA-$aN_(
pcolor(x,x,z), shading interp $0W0+A$
axis square, colorbar cq9Q7<&MF
xlabel('X'); bo -Gh`
ylabel('Y'); $z,bA*j9
title(['Zernike function Z^a_b','(r,\theta)']) |XH3$;=*h
figure(2) MK[spV
mesh(x,x,z) yauP j&^R
xlabel('X'); s{:
Mu~v
ylabel('Y'); R\Q%_~1
title(['Zernike function Z^a_b','(r,\theta)'])