采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: apxq] !
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%Display the Zernike function Z(n=5,m=1) ^D
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clc 4kNSF
clear
6l|SGt\
a=5;%%%%%%%%%%Z的阶数下标 DQN"85AIZ
b=1;%%%%%%%%%%Z的阶数的上标 ]INt9Pvqm
x = -1:0.01:1; gyMy;}a
[X,Y] = meshgrid(x,x); ,{RWs^W2
[theta,r] = cart2pol(X,Y); OOz;/kay
idx = r<=1;
OBM&N
z = nan(size(X)); y
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z(idx) = zernfun(a,b,r(idx),theta(idx)); -A"0mS8L
figure(1) w4uY/!~k
pcolor(x,x,z), shading interp LtDGu})1
axis square, colorbar &nn+X%m9g
xlabel('X'); A$J?-
ylabel('Y'); n#5 pd;!n
title(['Zernike function Z^a_b','(r,\theta)']) G:PcV_ihx
figure(2) A0uA\E4q
mesh(x,x,z) \v.YP19
xlabel('X'); p@=B\A]
ylabel('Y'); [iG4qI
title(['Zernike function Z^a_b','(r,\theta)'])