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Skin Color Modeling of Digital Photographic Images

Skin Color Modeling of Digital Photographic Images

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– Ellipse skin color modeling<br />

• Ignoring the lightness coordinate<br />

• Two-dimensional chrominance space<br />

−1<br />

• Represented Λ in matrix form<br />

λ00 λ<br />

−1 ⎛ 01 ⎞<br />

Λ =⎜ ⎟<br />

⎝λ10 λ11<br />

⎠<br />

• Elliptical boundary between skin and nonskin colors<br />

or<br />

Φ ( X) = λ ( x− x ) + ( λ + λ )( x−x )( y− y ) + λ ( y− y )<br />

(5a)<br />

( ) x<br />

2 2<br />

00 0 01 10 0 0 11 0<br />

2 2<br />

0 0 1 0 0 2 0<br />

• Angle θ to rotate x − y coordinates to principal axes<br />

X<br />

Φ ( X) = u ( x− x ) + u ( x−x )( y− y ) + u ( y− y )<br />

(5b)<br />

θ<br />

⎛ 2λ<br />

⎞<br />

01<br />

= 0.5arctan ⎜ ⎟<br />

− λ00 + λ11<br />

⎝ ⎠<br />

=<br />

y<br />

(4)<br />

(6)<br />

7/29

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