采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: Mi9A%ZmP
%Display the Zernike function Z(n=5,m=1) %xf6U>T
clc Ck2O?Ne
clear fQlR;4QX]
a=5;%%%%%%%%%%Z的阶数下标 xA#B1qbw
b=1;%%%%%%%%%%Z的阶数的上标 BV$lMLD{r
x = -1:0.01:1; m>$+sMZE
[X,Y] = meshgrid(x,x); KP[ax2!x
[theta,r] = cart2pol(X,Y); ~qLbyzHaB
idx = r<=1; vL{~?vq6
z = nan(size(X)); vY<(3[pp
z(idx) = zernfun(a,b,r(idx),theta(idx)); R{5Qb?&wOp
figure(1) oA}&o_Q%
pcolor(x,x,z), shading interp gzvEy^X
axis square, colorbar g1JD8~a
xlabel('X'); ]]Ypi=<'
ylabel('Y');
$.(%7[
title(['Zernike function Z^a_b','(r,\theta)']) <g5Btwo%
figure(2) tfvX0J
mesh(x,x,z) zFqH)/
xlabel('X'); W *0XV
ylabel('Y'); y. @7aT5
title(['Zernike function Z^a_b','(r,\theta)'])