采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： ;iKtv+"
%Display the Zernike function Z(n=5,m=1) V^[& 4
clc Eq;w5;7s
clear [ R+M .5
a=5;%%%%%%%%%%Z的阶数下标
O]=jI
b=1;%%%%%%%%%%Z的阶数的上标 CV"}(1T
x = -1:0.01:1; q/I( e
[X,Y] = meshgrid(x,x); QA0u T{x90
[theta,r] = cart2pol(X,Y); Fd<Ouyxqe
idx = r<=1; X0P +[.i
z = nan(size(X)); FD
8 Lk
z(idx) = zernfun(a,b,r(idx),theta(idx)); H6 x
figure(1) ~=OJCKv5(
pcolor(x,x,z), shading interp t}h(j|
axis square, colorbar WcKDerc
xlabel('X'); Q?>r:vMi
ylabel('Y'); q%kCTw
title(['Zernike function Z^a_b','(r,\theta)']) @hg[v`~
figure(2) L
QV@]z&
mesh(x,x,z) MjC<N[WO>N
xlabel('X'); k
$^/$N
ylabel('Y'); yVK
;
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title(['Zernike function Z^a_b','(r,\theta)'])
