采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: 5syzh
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%Display the Zernike function Z(n=5,m=1) knHrMD;
clc rO#$SW$YW
clear 5oYeUy>N
a=5;%%%%%%%%%%Z的阶数下标 xOg|<Nnl
b=1;%%%%%%%%%%Z的阶数的上标 d3?gh[$
x = -1:0.01:1; V_v+i c^
[X,Y] = meshgrid(x,x); >dF #1
[theta,r] = cart2pol(X,Y); _f "I%QTL
idx = r<=1; v[x 5@$
z = nan(size(X)); n31nORx50
z(idx) = zernfun(a,b,r(idx),theta(idx)); F{7
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figure(1) hhylsm
pcolor(x,x,z), shading interp Ebi~gGo
axis square, colorbar ;9=4]YZt
xlabel('X'); P??pWzb6HH
ylabel('Y'); <>-gQ9
title(['Zernike function Z^a_b','(r,\theta)']) 5qqU8I
figure(2) w8>bct3@
mesh(x,x,z) PiR`4Tu
xlabel('X'); B@ \0b|
ylabel('Y'); [vY)y\W{
title(['Zernike function Z^a_b','(r,\theta)'])