采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: EIw]
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%Display the Zernike function Z(n=5,m=1) ?I]AE&4'
clc 97Dq;
clear GVhqNy
a=5;%%%%%%%%%%Z的阶数下标 DN:|
s+Lz
b=1;%%%%%%%%%%Z的阶数的上标 B}[CU='P*
x = -1:0.01:1; L#SW!
[X,Y] = meshgrid(x,x); k"#gSCW$
[theta,r] = cart2pol(X,Y); (IV\sY
idx = r<=1; F'M X9P
z = nan(size(X)); 8SpG/gl"
z(idx) = zernfun(a,b,r(idx),theta(idx)); Hn >VPz+I
figure(1) H!*ypJ
pcolor(x,x,z), shading interp OROvy
axis square, colorbar /KvJjt'8
xlabel('X'); .I_atv
ylabel('Y'); ezw*Lo!
title(['Zernike function Z^a_b','(r,\theta)']) =rymd3/
figure(2) x8aOXN#w}
mesh(x,x,z) ?OW!D?
xlabel('X'); UvGxA[~2+
ylabel('Y'); 3qTr|8`s
title(['Zernike function Z^a_b','(r,\theta)'])