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Shape Moments for Region- Based Active Contours

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Chan and Vese model I.<br />

o Intensity based segmentation<br />

o Piecewise constant Mum<strong>for</strong>d-Shah<br />

energy functional (cartoon model)<br />

o Inside (c 1 ) and outside (c 2 ) regions<br />

2<br />

2<br />

ECV ( c1 , c2,<br />

C)<br />

λ1<br />

( u0<br />

− c1<br />

) dx + λ2<br />

( u0<br />

− c2)<br />

dx +<br />

= ∫ ∫<br />

Ω<br />

in<br />

o <strong>Active</strong> contours without edges [Chan<br />

and Vese, 1999]<br />

o Level set <strong>for</strong>mulation of the above model<br />

o Energy minimization by gradient descent<br />

Ω<br />

out<br />

C<br />

SSIP 2005

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