采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: gO%#'Eb2
%Display the Zernike function Z(n=5,m=1) ~C=I{qzF+
clc w*<XPBi
clear jW*|Mu>2
a=5;%%%%%%%%%%Z的阶数下标 9Y!N\-x`
b=1;%%%%%%%%%%Z的阶数的上标 R/r)l<X@
x = -1:0.01:1; 90> (`pI=
[X,Y] = meshgrid(x,x); \#.,@g
[theta,r] = cart2pol(X,Y); LnIln[g:
idx = r<=1; 8A}w}h
z = nan(size(X)); q65KxOf`
z(idx) = zernfun(a,b,r(idx),theta(idx)); >_P7 k5Y^
figure(1) 4s nL((
pcolor(x,x,z), shading interp r2}u\U4>
axis square, colorbar =gS?atbX
xlabel('X'); w2!G"oD
ylabel('Y'); $&/JY
title(['Zernike function Z^a_b','(r,\theta)']) R>SS\YC'X
figure(2) \Zz"%i
mesh(x,x,z) z+I'N4*^
xlabel('X'); t!QuM_i3
ylabel('Y'); _O)xE9t#ru
title(['Zernike function Z^a_b','(r,\theta)'])