| 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： "38L ,PW0Z
%Display the Zernike function Z(n=5,m=1) LOgFi%!6:
clc 6HguZ_jC
clear }S$OE))u
a=5;%%%%%%%%%%Z的阶数下标 <vE|QxpR
b=1;%%%%%%%%%%Z的阶数的上标 A<]
$[2qPj
x = -1:0.01:1; X
}` o9]y
[X,Y] = meshgrid(x,x); v.- r %j{I
[theta,r] = cart2pol(X,Y); ]v/pMg#-
idx = r<=1; gg/ts]$
z = nan(size(X)); m-6&-G#
z(idx) = zernfun(a,b,r(idx),theta(idx)); **\?-*c=U
figure(1) !F:mD ZeY
pcolor(x,x,z), shading interp C B`7KK
axis square, colorbar =van<l4b#n
xlabel('X'); !{4' =+
ylabel('Y'); ^AShy`o^X
title(['Zernike function Z^a_b','(r,\theta)']) `g_r<EY8/
figure(2) .l hS
mesh(x,x,z) id588Y78
xlabel('X'); G!`PP
ylabel('Y'); V.9p4k`
title(['Zernike function Z^a_b','(r,\theta)'])
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