采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: %3:[0o={d
%Display the Zernike function Z(n=5,m=1) $!ATj`}kb
clc (*K=&e0O
clear Bn<1zg5
a=5;%%%%%%%%%%Z的阶数下标 9'5`0$,|^
b=1;%%%%%%%%%%Z的阶数的上标 blk4@pg
x = -1:0.01:1; QyEGK
[X,Y] = meshgrid(x,x); jR_o!n~5
[theta,r] = cart2pol(X,Y); "C/X#y
idx = r<=1; 7;i [
z = nan(size(X)); <NYf !bx
z(idx) = zernfun(a,b,r(idx),theta(idx)); ]_EJ "'x
figure(1) zgnZ72%
pcolor(x,x,z), shading interp wyi%!H
axis square, colorbar qk
*b,`;
xlabel('X'); <Rb[0E$
ylabel('Y'); $SbgdbX
title(['Zernike function Z^a_b','(r,\theta)']) Gpb<,v_3
figure(2) 9 \lSN5W
mesh(x,x,z) |nMg.t`8
xlabel('X'); sA|!b.q
ylabel('Y'); *De}3-e1b
title(['Zernike function Z^a_b','(r,\theta)'])