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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Geometric shape moments<br />
o Introduced by M. K. Hu in 1962<br />
o Normalized central moments (NCM)<br />
η<br />
o Translation and scale invariant<br />
o (x c , y c ) is the centre of mass (translation<br />
invariance)<br />
x x<br />
p<br />
y y<br />
q<br />
c<br />
c<br />
pq = ( − ) ( − )<br />
∫∫<br />
M<br />
( p+<br />
q+<br />
2) 2<br />
00<br />
Area of the object<br />
(scale invariance)<br />
dxdy<br />
SSIP 2005