| 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： X<H+Z2d
%Display the Zernike function Z(n=5,m=1) UZE%!OWpeK
clc w_q =mKu
clear 9(BB>o54r
a=5;%%%%%%%%%%Z的阶数下标 [wJ l]i
b=1;%%%%%%%%%%Z的阶数的上标 XP6 5
x = -1:0.01:1; U9R pHh`
[X,Y] = meshgrid(x,x); 1:"ZS ] i
[theta,r] = cart2pol(X,Y); =}W)%Hldr.
idx = r<=1; K]i2$ M
z = nan(size(X)); 1{ wO jq(4
z(idx) = zernfun(a,b,r(idx),theta(idx)); KYFkO~N
figure(1) oF0*X$_X
pcolor(x,x,z), shading interp McU]U 9:z
axis square, colorbar | CjdmQ u
xlabel('X'); 6EG`0h6
ylabel('Y'); 5 5 `cNZ
title(['Zernike function Z^a_b','(r,\theta)']) q5~fU$ ,
figure(2) jt ",\%j
mesh(x,x,z) ivi&;
xlabel('X'); >@^j9 {\
ylabel('Y'); O[&G6+
title(['Zernike function Z^a_b','(r,\theta)'])
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