采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: ~B$b)`*
%Display the Zernike function Z(n=5,m=1) PVao
clc o/,NG U
clear 9B+wYJp
a=5;%%%%%%%%%%Z的阶数下标 c0 WFlj9b
b=1;%%%%%%%%%%Z的阶数的上标 jLcHY-P0V
x = -1:0.01:1; y5m!*=`l`
[X,Y] = meshgrid(x,x); M@p"yq
[theta,r] = cart2pol(X,Y); _N3}gFh>
idx = r<=1; 9YF$CXonE=
z = nan(size(X)); Icp0A\L@
z(idx) = zernfun(a,b,r(idx),theta(idx)); [$ :
figure(1) 0p fnV%
pcolor(x,x,z), shading interp $gp!w8h
axis square, colorbar &B!%fd.'
xlabel('X'); H:a|x#"
ylabel('Y'); wUi(3g|A
title(['Zernike function Z^a_b','(r,\theta)']) 2r];V'r
figure(2) 'nK~'PZ,
mesh(x,x,z) {4ptu~8
xlabel('X'); GoE#Mxh xo
ylabel('Y'); {@M14)-x>_
title(['Zernike function Z^a_b','(r,\theta)'])