采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: fGe"1MfU
%Display the Zernike function Z(n=5,m=1) $Q,]2/o6n
clc 8E9k7
clear +OtD@lD`!
a=5;%%%%%%%%%%Z的阶数下标 }h8U.k?v
b=1;%%%%%%%%%%Z的阶数的上标 !0):g/2h
x = -1:0.01:1; L6ypn)l
[X,Y] = meshgrid(x,x); >enP~uW[#
[theta,r] = cart2pol(X,Y); <DII%7q,6/
idx = r<=1; bBGg4{
z = nan(size(X)); 7vI
ROK~
z(idx) = zernfun(a,b,r(idx),theta(idx)); .SOCWznb
figure(1) T|
R!Aw.
pcolor(x,x,z), shading interp uigzf^6,
axis square, colorbar n,_9Eh#WD
xlabel('X'); ` 1y @c"t
ylabel('Y'); 8p1:dTI5Pb
title(['Zernike function Z^a_b','(r,\theta)']) :R$v7{1
figure(2) HW"5MZ8E
mesh(x,x,z) -Hy>
z
xlabel('X'); A.r.tf}:
ylabel('Y'); M*~X pT3
title(['Zernike function Z^a_b','(r,\theta)'])