| 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： [w~ teX0!
%Display the Zernike function Z(n=5,m=1) mT@UQCG
clc RrLQM!~
clear (|ga#%iI
a=5;%%%%%%%%%%Z的阶数下标 .eXIbd<C
b=1;%%%%%%%%%%Z的阶数的上标 Y,WcHE
x = -1:0.01:1; m&,d8Gss^
[X,Y] = meshgrid(x,x); /'E+(Y&:J
[theta,r] = cart2pol(X,Y); AO;+XP=
idx = r<=1; jD_(im5
z = nan(size(X)); Gyy:. ]>&
z(idx) = zernfun(a,b,r(idx),theta(idx)); X =S;8=N
figure(1) n_v c}ame
pcolor(x,x,z), shading interp 9{ i6g+
axis square, colorbar bEbO){Fe
xlabel('X'); a%ec: %
ylabel('Y'); M6 AQ8~z
title(['Zernike function Z^a_b','(r,\theta)']) wx (| $2{h
figure(2) GfQMdLy\Z
mesh(x,x,z) "rc}mq
xlabel('X'); S~YrXQ{_>-
ylabel('Y'); xQ1&j,R]
title(['Zernike function Z^a_b','(r,\theta)'])
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