采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: NU"X*g-x^
%Display the Zernike function Z(n=5,m=1) 7EUaf;d^
clc {fs(+
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clear Dc5XU3Eu`
a=5;%%%%%%%%%%Z的阶数下标 u)ItML
b=1;%%%%%%%%%%Z的阶数的上标 6|x<)Gc
x = -1:0.01:1; 0jq#,p=l;
[X,Y] = meshgrid(x,x); ektFk"W3A\
[theta,r] = cart2pol(X,Y); ?e*vvu33!
idx = r<=1; iFnM6O$(
z = nan(size(X)); 2t%)d9r32
z(idx) = zernfun(a,b,r(idx),theta(idx)); 3dfSu'
figure(1) QaV*}W
pcolor(x,x,z), shading interp /V~(!S>
axis square, colorbar "wc $'7M
xlabel('X'); e5Z\v0
ylabel('Y'); ,;g:qe3D$
title(['Zernike function Z^a_b','(r,\theta)']) OXo-(HLE
figure(2) ]|oqJ2P
mesh(x,x,z) $vd._j&
xlabel('X'); AkF3F^
ylabel('Y'); )yJjJ:re
title(['Zernike function Z^a_b','(r,\theta)'])