采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： ;&mefaFlWp
%Display the Zernike function Z(n=5,m=1) zu8
clc J3Ipk-'lx
clear chw6_ctR>
a=5;%%%%%%%%%%Z的阶数下标 c*o05pMS
b=1;%%%%%%%%%%Z的阶数的上标 DC?U +
x = -1:0.01:1; T,z 7U2O
[X,Y] = meshgrid(x,x); s~N WJ*i
[theta,r] = cart2pol(X,Y); [n%=2*1p
idx = r<=1; J1P
jMb}
z = nan(size(X)); MTm}qx@L
z(idx) = zernfun(a,b,r(idx),theta(idx)); %K0
H?^.
figure(1) 7l Q@I}i
pcolor(x,x,z), shading interp )anprhc
axis square, colorbar V~nqPh!Jc
xlabel('X'); "u#,#z _
ylabel('Y'); WdQR^'b$
title(['Zernike function Z^a_b','(r,\theta)']) n*twuB/P 1
figure(2) x-0O3IIE
mesh(x,x,z) fpd 4 v|(
xlabel('X'); N]yh8"7X
ylabel('Y'); yU ?TdM\
title(['Zernike function Z^a_b','(r,\theta)'])
