Skin Color Modeling of Digital Photographic Images
Skin Color Modeling of Digital Photographic Images
Skin Color Modeling of Digital Photographic Images
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
– 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