采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: %2\6.c=c
%Display the Zernike function Z(n=5,m=1) dL~^C I
clc rX0 ?m:&m
clear ;Sfe.ky@6
a=5;%%%%%%%%%%Z的阶数下标 `A#0If
b=1;%%%%%%%%%%Z的阶数的上标 %, S{9q
x = -1:0.01:1; Z3U%Afl2{
[X,Y] = meshgrid(x,x); 'e_e*.z3
[theta,r] = cart2pol(X,Y); J%lrXm(l{
idx = r<=1; RL[F 9g
z = nan(size(X)); ~14|y|\/
z(idx) = zernfun(a,b,r(idx),theta(idx)); y&/bp<Z
figure(1) i-9W8A
pcolor(x,x,z), shading interp cl`7|;v|?
axis square, colorbar WD1>{TSn
xlabel('X'); !<out4Mz"
ylabel('Y'); ?*.:*A
title(['Zernike function Z^a_b','(r,\theta)']) NkoyEa/^[
figure(2) ilyF1=bp
mesh(x,x,z) JXHf$k
xlabel('X'); jrpki<D
ylabel('Y'); 4C )sjk?m
title(['Zernike function Z^a_b','(r,\theta)'])