| 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： S0-/ 9h
%Display the Zernike function Z(n=5,m=1) a?ii)GGq
clc r Q$Jk[Y
clear A]mXV4RmI
a=5;%%%%%%%%%%Z的阶数下标 .5YIf~!59
b=1;%%%%%%%%%%Z的阶数的上标 t 4tXLI;'
x = -1:0.01:1; PU{7 s
[X,Y] = meshgrid(x,x); S1a}9Z|
[theta,r] = cart2pol(X,Y); Jz' 8|o;^
idx = r<=1; ` B7 1 `
z = nan(size(X)); h]#bPb
z(idx) = zernfun(a,b,r(idx),theta(idx)); "\u_gk{g
figure(1) 8A3!XA
pcolor(x,x,z), shading interp yct^AN|%
axis square, colorbar d&[.=M\E8
xlabel('X'); Q.]RYv}\
ylabel('Y'); (vqI@fB';u
title(['Zernike function Z^a_b','(r,\theta)']) "N4rh<<
figure(2) V ;t8v\
mesh(x,x,z) %b(n on*
xlabel('X'); @Zd/>'
ylabel('Y'); U,)@+?U+h
title(['Zernike function Z^a_b','(r,\theta)'])
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