采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： #VtlXr>G
%Display the Zernike function Z(n=5,m=1) 8
"|')f#
clc AS ~O*(po
clear gFJd8#6t
a=5;%%%%%%%%%%Z的阶数下标 5yu R[ VU
b=1;%%%%%%%%%%Z的阶数的上标 p ^^E(<2
x = -1:0.01:1; }m(u o T~
[X,Y] = meshgrid(x,x); t \S}eoc
[theta,r] = cart2pol(X,Y); #X`j#"Ov2(
idx = r<=1; [{L4~(uU8
z = nan(size(X));
nz~3o
z(idx) = zernfun(a,b,r(idx),theta(idx)); 5'Y @c
figure(1) ,a_\o&V
pcolor(x,x,z), shading interp X*/j na"*
axis square, colorbar N.l+9L0b
xlabel('X'); b~z1%?
ylabel('Y'); !D!Q]M5oU
title(['Zernike function Z^a_b','(r,\theta)']) %[l5){:05
figure(2) Lp.,:z7
mesh(x,x,z) ' D;v>r
xlabel('X'); ]%!:' #
ylabel('Y'); P{h;2b{
title(['Zernike function Z^a_b','(r,\theta)'])
