采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: 9tnD=A<PS
%Display the Zernike function Z(n=5,m=1) W%Fv p;\`
clc K)P%;X
clear &M[?h}B6
a=5;%%%%%%%%%%Z的阶数下标 VtohL+
b=1;%%%%%%%%%%Z的阶数的上标 Fj!U|l\_9
x = -1:0.01:1; *NQ/UXE
[X,Y] = meshgrid(x,x); h
yIV.W/
[theta,r] = cart2pol(X,Y); 8?C5L8)
idx = r<=1; mp3s-YfRc
z = nan(size(X)); oL<St$1
z(idx) = zernfun(a,b,r(idx),theta(idx)); ./~(7o$
figure(1) Yr|4Fl~U
pcolor(x,x,z), shading interp D43z9z-:L
axis square, colorbar
AOx[
xlabel('X'); v-Sd*( 6
ylabel('Y'); 8b=_Y;
title(['Zernike function Z^a_b','(r,\theta)']) TsZ@
figure(2) @%SQFu@FJ
mesh(x,x,z) K,UMqAmk
xlabel('X'); >R=|Wo`Ri
ylabel('Y'); #A.@i+Zv
title(['Zernike function Z^a_b','(r,\theta)'])