采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: ~UQ<8`@a
%Display the Zernike function Z(n=5,m=1) 1=sL[I 7<
clc u;1[_~
clear VYh/URU>
a=5;%%%%%%%%%%Z的阶数下标 QHUFS{G]
b=1;%%%%%%%%%%Z的阶数的上标 i[FYR;C
x = -1:0.01:1; GE=S.P;
[X,Y] = meshgrid(x,x); vkR~nIp
[theta,r] = cart2pol(X,Y); On!+7is'
idx = r<=1; ,WnZ^R/n
z = nan(size(X)); fl9VokAT
z(idx) = zernfun(a,b,r(idx),theta(idx)); upZc~k!1\
figure(1) D8PC;@m
pcolor(x,x,z), shading interp Bj><0
cNF
axis square, colorbar /uDcJ1u66
xlabel('X'); SAf)#HXa
ylabel('Y'); b2[U3)|oO
title(['Zernike function Z^a_b','(r,\theta)']) vSoG] :1
figure(2) (f_J @n
mesh(x,x,z) vUO[V$rx
xlabel('X'); KC2Z@
ylabel('Y'); TqV^\C?
title(['Zernike function Z^a_b','(r,\theta)'])