采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: UI!6aVL.
%Display the Zernike function Z(n=5,m=1) mD9STuA$H
clc ,f}h}
clear ET U-]R 3
a=5;%%%%%%%%%%Z的阶数下标 dCB&c^
b=1;%%%%%%%%%%Z的阶数的上标 SHMl%mw
x = -1:0.01:1; DdBxqkh
[X,Y] = meshgrid(x,x); 'UY[ap
[theta,r] = cart2pol(X,Y); y^2#9\}K
idx = r<=1; Y4QLs^IdB
z = nan(size(X)); 9'1hjd3k
z(idx) = zernfun(a,b,r(idx),theta(idx)); Tdg6kkJ
figure(1) I0!j<G
pcolor(x,x,z), shading interp
F[5S(7M
7
axis square, colorbar 5v"Y\k+1
xlabel('X'); Vl<`|C>
ylabel('Y'); ;t}'X[U
title(['Zernike function Z^a_b','(r,\theta)']) =(%*LY!Xc
figure(2) .N5'.3
mesh(x,x,z) JfMJF[Mb
xlabel('X'); ~L~]QN\3
ylabel('Y'); ]3}feU+
title(['Zernike function Z^a_b','(r,\theta)'])