| oy87188 |
2019-04-11 18:15 |
zernike多项式的matlab编程表示图例
采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： pIdJ+gu( s
%Display the Zernike function Z(n=5,m=1) 'NF_!D
clc rMIr&T
clear _sIhQ8$:
a=5;%%%%%%%%%%Z的阶数下标 VyH'7_aU
b=1;%%%%%%%%%%Z的阶数的上标 EzOO6
x = -1:0.01:1; _7>$'V{
[X,Y] = meshgrid(x,x); |i'V\"
hW
[theta,r] = cart2pol(X,Y); k`Nc<nN8
idx = r<=1; = M^4T?{T
z = nan(size(X)); Qrjo@_+w!
z(idx) = zernfun(a,b,r(idx),theta(idx)); @mBZu !,
figure(1) P]:r'^Yn
pcolor(x,x,z), shading interp UR6.zE4=_
axis square, colorbar z?`&HU Nf
xlabel('X'); &
.VciSq6
ylabel('Y'); }z6@Z#%q
title(['Zernike function Z^a_b','(r,\theta)']) so}(*E&(a
figure(2) %cMX]U
mesh(x,x,z) p
x1y #Q
xlabel('X'); { _QXx
ylabel('Y'); fCTdM+t
title(['Zernike function Z^a_b','(r,\theta)'])
|
|
