采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: +M-' K19
%Display the Zernike function Z(n=5,m=1) / (W{`
clc OAOG&6xu8
clear FGy7KVR
a=5;%%%%%%%%%%Z的阶数下标 K{x<zv&,
b=1;%%%%%%%%%%Z的阶数的上标 NV36Q^Am[
x = -1:0.01:1; "h2;65@
[X,Y] = meshgrid(x,x); zp% MK+x
[theta,r] = cart2pol(X,Y); 4{}u PbS
idx = r<=1; >| .jG_s
z = nan(size(X)); C/<fR:`c
z(idx) = zernfun(a,b,r(idx),theta(idx)); qAivsYN*
figure(1) o!sxfJKl
pcolor(x,x,z), shading interp #y-OkGS
^
axis square, colorbar Z!wDh_
xlabel('X'); &|n*&@fF
ylabel('Y'); O JvEq@
title(['Zernike function Z^a_b','(r,\theta)']) $ daI++v`
figure(2) !xj >~7
mesh(x,x,z) sFC1PdSk4T
xlabel('X'); 0}Kl47}aD
ylabel('Y'); L L9I:^
title(['Zernike function Z^a_b','(r,\theta)'])