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: F0Jx( %Display the Zernike function Z(n=5,m=1) U%<rn(xWXD clc \ gwXH clear l~s7Ae a=5;%%%%%%%%%%Z的阶数下标 w0m^ &,;# b=1;%%%%%%%%%%Z的阶数的上标 w&h2y4 x = -1:0.01:1; ;Y9=!.Ak0y [X,Y] = meshgrid(x,x); Pn.bVV: [theta,r] = cart2pol(X,Y); ~`8hwR1&z idx = r<=1; R9vT[{!i z = nan(size(X)); =HDI \LD< z(idx) = zernfun(a,b,r(idx),theta(idx)); h+~P"i}&\ figure(1) &jA\hg#9 pcolor(x,x,z), shading interp >c8GW
>\N axis square, colorbar R{Z-m2La xlabel('X'); ,Dmc2D ylabel('Y'); vYmSKS title(['Zernike function Z^a_b','(r,\theta)']) RSfM]w}Hq# figure(2) Z$KLl(( mesh(x,x,z) AIl4]F5I xlabel('X'); rM}0%J' ylabel('Y'); +YY8h>hj title(['Zernike function Z^a_b','(r,\theta)'])
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