采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: v|K,
%Display the Zernike function Z(n=5,m=1) RJp Rsr
clc Pv#Oea?
clear XBr-UjQ
a=5;%%%%%%%%%%Z的阶数下标 LL0Y$pHV
b=1;%%%%%%%%%%Z的阶数的上标 CI#6r8u
x = -1:0.01:1; i]cD{hv
[X,Y] = meshgrid(x,x); _ww>u""B~
[theta,r] = cart2pol(X,Y); ~vb yX
idx = r<=1; qsT@aSIo9
z = nan(size(X)); S^8C\ E
z(idx) = zernfun(a,b,r(idx),theta(idx)); '!hA!eo>J
figure(1)
x>]14bLz
pcolor(x,x,z), shading interp +UM%6Z=+
axis square, colorbar \ 4`:~c
xlabel('X'); )X2/_3
ylabel('Y'); wB(X(nr
title(['Zernike function Z^a_b','(r,\theta)']) < NRnE8:
figure(2) k#g` n3L
mesh(x,x,z) {py"Ob_
xlabel('X'); g7UZtpLTm
ylabel('Y'); UR|Au'iu
title(['Zernike function Z^a_b','(r,\theta)'])