| 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： G) Y,*.,
%Display the Zernike function Z(n=5,m=1) <viC ~=k;
clc D$NpyF.87
clear 42}8es.aa
a=5;%%%%%%%%%%Z的阶数下标 Ra
H1aS(
b=1;%%%%%%%%%%Z的阶数的上标 <K l$ek8
x = -1:0.01:1; { 5d 5Y%&
[X,Y] = meshgrid(x,x); dq'f
>S z}
[theta,r] = cart2pol(X,Y); i*!2n1c[
idx = r<=1; |pq9i)e&
z = nan(size(X)); WA:r4V
z(idx) = zernfun(a,b,r(idx),theta(idx)); N&Ho$,2s
figure(1) 0O*kC43E_
pcolor(x,x,z), shading interp @A*>lUo
axis square, colorbar 5)h fI7{d
xlabel('X'); @tD (<*f+
ylabel('Y'); MQ0r ln?
title(['Zernike function Z^a_b','(r,\theta)']) CHD.b%_|
figure(2) _G25$%/LU
mesh(x,x,z) r}D#(G$
xlabel('X'); 6Q_A-X3hk
ylabel('Y'); apfr>L3
title(['Zernike function Z^a_b','(r,\theta)'])
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