| 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： =|pQA~UU#
%Display the Zernike function Z(n=5,m=1) [)# ,~L3
clc 8>6+]]O
clear &'c1"%*%8>
a=5;%%%%%%%%%%Z的阶数下标 [=7|LH jU
b=1;%%%%%%%%%%Z的阶数的上标 =4m?RPb~b
x = -1:0.01:1; )@\= pE.H
[X,Y] = meshgrid(x,x); E]6 ;nY?
[theta,r] = cart2pol(X,Y); ArbfA~jXB
idx = r<=1; f77Jn^Dt
z = nan(size(X)); MY4cMMjp~
z(idx) = zernfun(a,b,r(idx),theta(idx)); ,>` wz^ z
figure(1) g"hm"m}i
pcolor(x,x,z), shading interp _CciU.1k&,
axis square, colorbar .1[K\t)2
xlabel('X'); qx5.LiF
ylabel('Y'); 68+ 9^
title(['Zernike function Z^a_b','(r,\theta)']) /b@8#p x
figure(2) ~*- eL.
mesh(x,x,z) &#w]
2~ |
xlabel('X'); sZFjkfak
ylabel('Y'); k)1K6ug
title(['Zernike function Z^a_b','(r,\theta)'])
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