采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: X
f!Bsp#\g
%Display the Zernike function Z(n=5,m=1) :[|`&_D9J
clc wC'KI8-
clear J
Y %B:
a=5;%%%%%%%%%%Z的阶数下标 7b:oz3 ?PI
b=1;%%%%%%%%%%Z的阶数的上标 L.l%EcW=,
x = -1:0.01:1; #e+%;5\
[X,Y] = meshgrid(x,x); ~=Er=
0
[theta,r] = cart2pol(X,Y); u)R>ozER
idx = r<=1; NVeb,Pf
z = nan(size(X)); /PQg>Pa85
z(idx) = zernfun(a,b,r(idx),theta(idx)); 91mXv Q:u
figure(1) `Ft`8=(
pcolor(x,x,z), shading interp )8st
axis square, colorbar \C/`?"4w
xlabel('X'); "g>uNtt~
ylabel('Y'); :v1'(A1t
title(['Zernike function Z^a_b','(r,\theta)']) 8T$:^HW
figure(2) |>jlY|
mesh(x,x,z) 8Tt2T}
Y
xlabel('X'); OA4NXl'
ylabel('Y'); {BY`Wu:w
title(['Zernike function Z^a_b','(r,\theta)'])