采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: HE'8
%Display the Zernike function Z(n=5,m=1) 1zW6Pb
clc )zV5KC{{
clear Ma#-'J
a=5;%%%%%%%%%%Z的阶数下标 Z+7S,M
b=1;%%%%%%%%%%Z的阶数的上标 X\RTHlw']
x = -1:0.01:1; <2d@\"AoHE
[X,Y] = meshgrid(x,x); z(eAwmuli
[theta,r] = cart2pol(X,Y); !{;RtUPz*
idx = r<=1; Vrh],xK7
z = nan(size(X)); #Qd3A
z(idx) = zernfun(a,b,r(idx),theta(idx)); 0n=E.qZ9c
figure(1) "FS.&&1(
pcolor(x,x,z), shading interp c Zr4
axis square, colorbar 4iW2hV@m
xlabel('X'); k]g\`
gc
ylabel('Y'); _AHVMsz@
title(['Zernike function Z^a_b','(r,\theta)']) =1capix 1r
figure(2) pC8i&_A
mesh(x,x,z) `_)dEu
xlabel('X'); ;v\n[
ylabel('Y'); _R6> Ayw*
title(['Zernike function Z^a_b','(r,\theta)'])