采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: :KKa4=5L
%Display the Zernike function Z(n=5,m=1) !bD@aVf?5
clc +MB!B9M@
clear 5|I[>Su
a=5;%%%%%%%%%%Z的阶数下标 \(Pohw WWo
b=1;%%%%%%%%%%Z的阶数的上标 1O!/g
x = -1:0.01:1; $&=p+
[X,Y] = meshgrid(x,x); Hi
yc#-4
[theta,r] = cart2pol(X,Y); "&/]@)TPz
idx = r<=1; )m&U#S _;
z = nan(size(X)); eVR5Xar
z(idx) = zernfun(a,b,r(idx),theta(idx)); X<MO7I
figure(1) tdEnk.O
pcolor(x,x,z), shading interp &I({T`=
axis square, colorbar $XU5??8
xlabel('X'); %"X-&1vV
ylabel('Y'); a2f^x@0k
title(['Zernike function Z^a_b','(r,\theta)']) 3-%Cw2ds
figure(2) 2qHf'
mesh(x,x,z) i `0v#P
xlabel('X'); =rd|0K"(r
ylabel('Y'); J j=;
title(['Zernike function Z^a_b','(r,\theta)'])