采用matlab編程,其主
函數(shù)如下,可以
模擬各階的zernike多項(xiàng)式:
|rY1US)S %Display the Zernike function Z(n=5,m=1)
l~1Oef#y clc
:uP,f<=)K clear
oOnop-z7 a=5;%%%%%%%%%%Z的階數(shù)下標(biāo)
[I0:=yJ+ b=1;%%%%%%%%%%Z的階數(shù)的上標(biāo)
\?w2a$?6w x = -1:0.01:1;
1!ii;s^e [X,Y] = meshgrid(x,x);
VQ"hUX8 [theta,r] = cart2pol(X,Y);
Sw:7pByjI idx = r<=1;
R}'bP z = nan(size(X));
wHzEMwY_ z(idx) = zernfun(a,b,r(idx),theta(idx));
6q*9[<8 figure(1)
mkMq pcolor(x,x,z), shading interp
A]<y:^2])C axis square, colorbar
^({})T0wu xlabel('X');
Z"Zmo>cV4 ylabel('Y');
6,o~\8ia title(['Zernike function Z^a_b','(r,\theta)'])
"
f
<Z=c figure(2)
:Uz|