采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： gpK_0?%
%Display the Zernike function Z(n=5,m=1) X,EYa>RSy_
clc liw 9:@+V
clear 5m USh3
a=5;%%%%%%%%%%Z的阶数下标 d<GG (
b=1;%%%%%%%%%%Z的阶数的上标 b/,!J] W
x = -1:0.01:1; x";.gjI |g
[X,Y] = meshgrid(x,x); zg Y*|{4Sl
[theta,r] = cart2pol(X,Y); 199h Qxib:
idx = r<=1; {9.~]dI|L
z = nan(size(X)); @~#79B"9&
z(idx) = zernfun(a,b,r(idx),theta(idx)); 7cmr
*y
figure(1) sJI -
pcolor(x,x,z), shading interp R c:cVK
axis square, colorbar Bd B `
xlabel('X'); #D LT -G0
ylabel('Y'); v8[ek@
title(['Zernike function Z^a_b','(r,\theta)']) D0y,TF
figure(2) },EUcVXk
mesh(x,x,z) _h=< _Z
xlabel('X'); @7l=+`.i
ylabel('Y'); lmtQr5U
title(['Zernike function Z^a_b','(r,\theta)'])
