采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: pk?w\A}
%Display the Zernike function Z(n=5,m=1) x_|UPF
clc UR7g`/
clear Z*y`R
XE
a=5;%%%%%%%%%%Z的阶数下标 %_+2@\
b=1;%%%%%%%%%%Z的阶数的上标 {["\.ZS|
x = -1:0.01:1; & -{DfNK c
[X,Y] = meshgrid(x,x); [5zx17'
[theta,r] = cart2pol(X,Y); co~Pyj
idx = r<=1; iYDEI e
z = nan(size(X)); WM| dKF
z(idx) = zernfun(a,b,r(idx),theta(idx)); WF1px %
figure(1) C ~<'rO}|
pcolor(x,x,z), shading interp 'MEz|Z
axis square, colorbar 1Ty<\bZ=
xlabel('X'); &<wuJ%'>)Z
ylabel('Y'); YVYu:}e3)
title(['Zernike function Z^a_b','(r,\theta)']) sm0x LZ
figure(2)
i`QKH
mesh(x,x,z) v1BDP<qU2
xlabel('X'); ap&?r`Tu
ylabel('Y'); lJu;O/
title(['Zernike function Z^a_b','(r,\theta)'])