采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： acQHqR
%Display the Zernike function Z(n=5,m=1) ?FV%e
clc e$JATA:j
clear '
~fP #y
a=5;%%%%%%%%%%Z的阶数下标 w|*D{`O
b=1;%%%%%%%%%%Z的阶数的上标 WW!-,d{{@
x = -1:0.01:1; D]|{xK C}
[X,Y] = meshgrid(x,x); vg _ PMy\
[theta,r] = cart2pol(X,Y); yF |+oTp
idx = r<=1; "ctZ"*
z = nan(size(X)); 4T
v=sP
z(idx) = zernfun(a,b,r(idx),theta(idx));
K\s<<dRa
figure(1) q9a6s {,
pcolor(x,x,z), shading interp U)Tl<l<
axis square, colorbar jc#gn& 4C
xlabel('X'); =En1?3?
ylabel('Y'); Ae"|a_>fMI
title(['Zernike function Z^a_b','(r,\theta)']) lIO#)>
figure(2) #YK3Ogb,
mesh(x,x,z) mQ:YHtHE.F
xlabel('X'); t=s.w(3t
ylabel('Y'); | +>U91!
title(['Zernike function Z^a_b','(r,\theta)'])
