| 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： 6[qRb+ds
%Display the Zernike function Z(n=5,m=1) 70KXBu<6
clc T 6phD8#
clear ?hDEFW9&^x
a=5;%%%%%%%%%%Z的阶数下标 !7bC\ {
b=1;%%%%%%%%%%Z的阶数的上标 09x\i/nb
x = -1:0.01:1; "?avb`YU'
[X,Y] = meshgrid(x,x); 7 ic]q,
[theta,r] = cart2pol(X,Y); x!"!oJG^k
idx = r<=1; 8q tNK> D
z = nan(size(X)); 1bj75/i<6
z(idx) = zernfun(a,b,r(idx),theta(idx)); UdLC]
figure(1) 0s< o5`v
pcolor(x,x,z), shading interp 7r}gS2d
axis square, colorbar yUH 8
xlabel('X'); L<Lu;KnY6
ylabel('Y'); CQtd%'rt6
title(['Zernike function Z^a_b','(r,\theta)']) qw_qGgbl
figure(2) +d'h20
mesh(x,x,z) Rbr vY
xlabel('X'); }#yR a Ip
ylabel('Y'); \sRRLDj%
title(['Zernike function Z^a_b','(r,\theta)'])
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