采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: p18-yt;
1
%Display the Zernike function Z(n=5,m=1) I.r&;
clc 9vWKyzMi
clear !;{@O`j?b
a=5;%%%%%%%%%%Z的阶数下标 5u T
9ssC
b=1;%%%%%%%%%%Z的阶数的上标 m(q6Xe:Vc
x = -1:0.01:1; FXV=D_G}
[X,Y] = meshgrid(x,x); Wg[?i C*~
[theta,r] = cart2pol(X,Y); 0bQaXxt|p
idx = r<=1; qF`;xa%,}
z = nan(size(X)); O_K@\<;~
z(idx) = zernfun(a,b,r(idx),theta(idx)); /%po@Pm#I
figure(1) F')T:;,s
pcolor(x,x,z), shading interp V9-pY/v9
axis square, colorbar #pBAGm3
xlabel('X'); Fkuq'C<|Y
ylabel('Y'); X_C9Z
title(['Zernike function Z^a_b','(r,\theta)']) =rl/l8|P
figure(2) -}%'I]R=
mesh(x,x,z) &
d\`=e
xlabel('X'); &JAQ:([:
ylabel('Y'); Fe.Y4\xz
title(['Zernike function Z^a_b','(r,\theta)'])