Skin Color Modeling of Digital Photographic Images
Skin Color Modeling of Digital Photographic Images
Skin Color Modeling of Digital Photographic Images
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Elliptical skin boundary model<br />
Elliptical boundary model<br />
T −1<br />
( ) [ ] [ ]<br />
Φ X = X −Ψ Λ X −Ψ<br />
where X is occurrence counts <strong>of</strong> color, Ψ is center <strong>of</strong> ellipse, Λ is principal axes,<br />
and Φ(X)<<br />
ρ is in ellipse as skin color.<br />
1<br />
1<br />
n<br />
Ψ= ∑ X i<br />
n =<br />
n 1<br />
Λ= ∑ fi( Xi −µ )( Xi<br />
−µ<br />
)<br />
N<br />
i=<br />
1<br />
∑ ∑<br />
where N= f is total number <strong>of</strong> occurrences, µ = (1 / N) fX is<br />
i<br />
n n<br />
i= 1 i i= 1 i i<br />
mean <strong>of</strong> color vectors and f( X ) = f( i= 1, …,<br />
n)<br />
.<br />
i<br />
T<br />
(1)<br />
(2)<br />
(3)<br />
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