采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: McRfEF\
%Display the Zernike function Z(n=5,m=1) e'5sT#T9 l
clc ,&rHBNS
clear hH=}<@z
a=5;%%%%%%%%%%Z的阶数下标 nrRP1`!]T
b=1;%%%%%%%%%%Z的阶数的上标 76RFu@k
x = -1:0.01:1; //-;uEO
[X,Y] = meshgrid(x,x); OVU+V 0w1a
[theta,r] = cart2pol(X,Y); K|sx"u|?
idx = r<=1; 'mE!,KeS;
z = nan(size(X)); 4xzoA'Mb@
z(idx) = zernfun(a,b,r(idx),theta(idx)); o_on/{qz
figure(1) VgcLG ]tE[
pcolor(x,x,z), shading interp U|)CZcM
axis square, colorbar 0m&W: c
xlabel('X'); (2p<I)t
ylabel('Y'); /nVGr]t_pj
title(['Zernike function Z^a_b','(r,\theta)']) b&E9xD/;r
figure(2) xPorlX)zW
mesh(x,x,z) -DE?L,9X9
xlabel('X'); GilmJ2<
ylabel('Y'); F4
:#okt
title(['Zernike function Z^a_b','(r,\theta)'])