Shape Moments for Region- Based Active Contours
Shape Moments for Region- Based Active Contours
Shape Moments for Region- Based Active Contours
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Legendre moments<br />
λ pq<br />
=<br />
(2 p<br />
+ 1)(2q<br />
4<br />
+ 1)<br />
1<br />
1<br />
∫ ∫<br />
−1<br />
−1<br />
P<br />
( x)<br />
P<br />
( y)<br />
f ( x,<br />
y)<br />
dxdy<br />
o Provides a more detailed representation than<br />
normalized central moments:<br />
<strong>Shape</strong><br />
p<br />
•Where P p (x) are the<br />
Legendre polynomials<br />
•Orthogonal basis functions<br />
NCM (h) Legendre (l)<br />
q<br />
NCM is dominated<br />
by few moments<br />
while Legendere<br />
values are evenly<br />
distributed<br />
SSIP 2005
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