采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: Dw<bn<e-
%Display the Zernike function Z(n=5,m=1) I
,z3xU
clc yooX$
clear OZ~5*v
a=5;%%%%%%%%%%Z的阶数下标 9E"vN
b=1;%%%%%%%%%%Z的阶数的上标 "q.\>MCv
x = -1:0.01:1; .xm.DRk3
[X,Y] = meshgrid(x,x); V#S9H!hm$
[theta,r] = cart2pol(X,Y); ov_j4j>6P
idx = r<=1; &p4&[H?
z = nan(size(X)); rFj-kojg
z(idx) = zernfun(a,b,r(idx),theta(idx)); <?riU\-]y
figure(1) %~2YE
pcolor(x,x,z), shading interp #x 177I\
axis square, colorbar sE Q=dcK
xlabel('X'); EkjN{$*
ylabel('Y'); 8L:ji,"
title(['Zernike function Z^a_b','(r,\theta)']) fj;y}t1E]
figure(2) 1Y7Eajt-5
mesh(x,x,z) hM6PP7XH
xlabel('X'); ]);%wy{Ho
ylabel('Y'); zGAq-<
title(['Zernike function Z^a_b','(r,\theta)'])