采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： +IrZ
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%Display the Zernike function Z(n=5,m=1) ^ =^$tF
clc P|N2R5(>T
clear jo}1u_OJ
a=5;%%%%%%%%%%Z的阶数下标 n@hl2M6.x9
b=1;%%%%%%%%%%Z的阶数的上标 Ry&q1 j
x = -1:0.01:1; } ~| k
[X,Y] = meshgrid(x,x); P^pFqUL7#
[theta,r] = cart2pol(X,Y); Y&K <{\vE
idx = r<=1; &f-hG3 /M
z = nan(size(X)); iwU[6A
z(idx) = zernfun(a,b,r(idx),theta(idx)); w d/G|kNO
figure(1) tmO`|tn&
pcolor(x,x,z), shading interp qy
,"X)^#
axis square, colorbar
dy<27 =
xlabel('X'); {pWBwf>R C
ylabel('Y'); }x:0os
title(['Zernike function Z^a_b','(r,\theta)']) dy2rkV.z
figure(2) JE hm1T
mesh(x,x,z) !;v.>.lw
xlabel('X'); C`QzT{6!
ylabel('Y'); /_)l|<k+V
title(['Zernike function Z^a_b','(r,\theta)'])
