采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: P,$[|)[E
%Display the Zernike function Z(n=5,m=1) ,<;l"v(
clc ^^4K/XBve
clear Lem\UD$D`
a=5;%%%%%%%%%%Z的阶数下标 ,);=
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b=1;%%%%%%%%%%Z的阶数的上标 K'iS#i7
x = -1:0.01:1; ++T
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[X,Y] = meshgrid(x,x); S<y>Y
[theta,r] = cart2pol(X,Y); d739UhKC
idx = r<=1; qXP1Q3
z = nan(size(X)); w|
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z(idx) = zernfun(a,b,r(idx),theta(idx)); EaM"=g
figure(1) k Z+ q
pcolor(x,x,z), shading interp 6:|!1Pg5
axis square, colorbar PEX26==
xlabel('X'); =9DhO7I'
ylabel('Y'); S|{Yvyp
title(['Zernike function Z^a_b','(r,\theta)']) 7GBZA=J
figure(2) tf$PaA
mesh(x,x,z) G_2gKkIK-
xlabel('X'); jpYw#]Q
ylabel('Y'); R
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title(['Zernike function Z^a_b','(r,\theta)'])