采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: Wiqy".YY
%Display the Zernike function Z(n=5,m=1) "aN<3b
clc oh`I$
clear CJ_X:Frj)
a=5;%%%%%%%%%%Z的阶数下标 p3:x\P<|
b=1;%%%%%%%%%%Z的阶数的上标 Hw5\~!FX
x = -1:0.01:1; Y;je ::"
[X,Y] = meshgrid(x,x); ?#xNz=V
[theta,r] = cart2pol(X,Y); v#.FK:u}
idx = r<=1; xDu11W+g
z = nan(size(X)); kL^;^!Nt
z(idx) = zernfun(a,b,r(idx),theta(idx)); |2XEt\P
figure(1) UM7Ft"
pcolor(x,x,z), shading interp !W/O g 5n
axis square, colorbar $"T1W=;j9
xlabel('X'); g# :|Mjgh
ylabel('Y'); 6hYv
title(['Zernike function Z^a_b','(r,\theta)']) 9u1)Kr=e
figure(2) ,JT|E~P?8
mesh(x,x,z) )$yqJ6y5
xlabel('X'); /a6\G.C5
ylabel('Y'); ~)D2U:"^xm
title(['Zernike function Z^a_b','(r,\theta)'])