采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: CNfeHMT
%Display the Zernike function Z(n=5,m=1) n8R{LjJ2@
clc N ?0V0B
clear 8~}Ti*Urc
a=5;%%%%%%%%%%Z的阶数下标 jDy
b=1;%%%%%%%%%%Z的阶数的上标 rf^1%Zo:
x = -1:0.01:1; t4F 1[P
[X,Y] = meshgrid(x,x); =GFlaGD
[theta,r] = cart2pol(X,Y); nyTfTn
idx = r<=1; xqM R[W\x
z = nan(size(X)); "sL#)<%
z(idx) = zernfun(a,b,r(idx),theta(idx)); J}%&;uv
figure(1) UO>p-M
pcolor(x,x,z), shading interp olQ;XTa01F
axis square, colorbar 9b()ck-\F#
xlabel('X'); 80axsU^H0
ylabel('Y'); #{i\t E
title(['Zernike function Z^a_b','(r,\theta)']) ?ry`+nx
figure(2) {@B<$g
mesh(x,x,z) Bam7^g'*!3
xlabel('X'); ;Fp"]z!Qh+
ylabel('Y'); 5I t+ S+a
title(['Zernike function Z^a_b','(r,\theta)'])