采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: ':6`M
%Display the Zernike function Z(n=5,m=1) [gx6e 44
clc {rf.sN~M
clear %^kBcId
a=5;%%%%%%%%%%Z的阶数下标 0LN"azhz
b=1;%%%%%%%%%%Z的阶数的上标 @tR:}J*9s
x = -1:0.01:1; FK{Vnj0
[X,Y] = meshgrid(x,x); %?@N-$j
[theta,r] = cart2pol(X,Y); <"X\~
idx = r<=1; M9M~[[
z = nan(size(X)); {f<2VeJ
z(idx) = zernfun(a,b,r(idx),theta(idx)); MZl6J
figure(1) 'M VE5
pcolor(x,x,z), shading interp -Uh3A\#(
axis square, colorbar r[ni{&
xlabel('X'); }f?$QSF
ylabel('Y'); sZxf.
title(['Zernike function Z^a_b','(r,\theta)']) |@!4BA
figure(2) Lzm9Kh;
mesh(x,x,z) Mj2`p#5wKh
xlabel('X'); $oDc
ylabel('Y'); Hyh$-iCa
title(['Zernike function Z^a_b','(r,\theta)'])