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: `-g$
0lm7 %Display the Zernike function Z(n=5,m=1) "8
?6;!, clc /jSb^1\ clear J4Ca0Ag a=5;%%%%%%%%%%Z的阶数下标 +4F; m_G6 b=1;%%%%%%%%%%Z的阶数的上标 7#j9"* x = -1:0.01:1; "iJAM`Hi [X,Y] = meshgrid(x,x); l%qfaU2 [theta,r] = cart2pol(X,Y); ~i0>[S3' idx = r<=1; j:$Z-s z = nan(size(X)); M hjIE<OI= z(idx) = zernfun(a,b,r(idx),theta(idx)); Of#"nu figure(1) f\z9?Z(~ pcolor(x,x,z), shading interp wj8\eK)]L axis square, colorbar ]}pAZd xlabel('X'); (!a\23 ylabel('Y'); :4)lmIu title(['Zernike function Z^a_b','(r,\theta)']) w+{{4<+cd figure(2) p7L6~IN mesh(x,x,z) C't%e xlabel('X'); (`<B#D;
ylabel('Y'); ]d*O>Pm title(['Zernike function Z^a_b','(r,\theta)'])
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