| 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： U8z"{
%Display the Zernike function Z(n=5,m=1) ! WnI`
clc ;mlIW n
clear B(dL`]@Xm
a=5;%%%%%%%%%%Z的阶数下标 Jj:4@p:
b=1;%%%%%%%%%%Z的阶数的上标 pjM|}i<'Q
x = -1:0.01:1; [.,6~=}vP
[X,Y] = meshgrid(x,x); ! YHu
[theta,r] = cart2pol(X,Y); _,~zy9{,
idx = r<=1; bf(&N-"A
z = nan(size(X)); J< M;vB)
z(idx) = zernfun(a,b,r(idx),theta(idx)); #Qd3A
figure(1) o#6}?g.
pcolor(x,x,z), shading interp mX_`rvYII
axis square, colorbar 4*W7{MP Y
xlabel('X'); ztpb/9J9
ylabel('Y'); SiT & p
title(['Zernike function Z^a_b','(r,\theta)']) .5xg;Qg\Y
figure(2)
(5_(s`q.
mesh(x,x,z) ^ + <uHd>
xlabel('X'); q(W @=-uDK
ylabel('Y'); -Ma"V
title(['Zernike function Z^a_b','(r,\theta)'])
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