采用matlab編程,其主
函數(shù)如下,可以
模擬各階的zernike多項式:
K5`*Y@ %Display the Zernike function Z(n=5,m=1)
YhRy
C*b clc
J{a9pr6 clear
32aI0CT a=5;%%%%%%%%%%Z的階數(shù)下標
Zz:%KUl3 b=1;%%%%%%%%%%Z的階數(shù)的上標
VR"le&'z" x = -1:0.01:1;
KCZ<#ca^ [X,Y] = meshgrid(x,x);
MK
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[theta,r] = cart2pol(X,Y);
A+H8\ew2, idx = r<=1;
)
5Ij z = nan(size(X));
{=d}04i)E" z(idx) = zernfun(a,b,r(idx),theta(idx));
l9j=;h figure(1)
fXnewPr=# pcolor(x,x,z), shading interp
WZ!zUUp}V axis square, colorbar
54WX#/<Yik xlabel('X');
/TB{|_HbW ylabel('Y');
vAop#V title(['Zernike function Z^a_b','(r,\theta)'])
YE*|KL^ figure(2)