采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: c(AjM9s
%Display the Zernike function Z(n=5,m=1) [P{Xg:0
clc <s#}`R.#2
clear L4;n$=e
a=5;%%%%%%%%%%Z的阶数下标 UrxgKTry
b=1;%%%%%%%%%%Z的阶数的上标 "v3u$-xN1
x = -1:0.01:1; (|5g`JDG
[X,Y] = meshgrid(x,x); sEvJ!$Tt?I
[theta,r] = cart2pol(X,Y); <STjB,_s
idx = r<=1; xI~\15PhG
z = nan(size(X)); }wkBa]
z(idx) = zernfun(a,b,r(idx),theta(idx)); 7F'61}qL
figure(1) R/O_*XY
pcolor(x,x,z), shading interp 73.o{V
axis square, colorbar >8tE`2[i*
xlabel('X'); 3G8uXB_`}
ylabel('Y'); l>&)_:\
title(['Zernike function Z^a_b','(r,\theta)']) I"JT3[*s
figure(2) "rjJ"u1
mesh(x,x,z) (lPNMS|V
xlabel('X'); 1=(i{D~
ylabel('Y'); XLbrE|0A?
title(['Zernike function Z^a_b','(r,\theta)'])