Accepted Paper
Inserted: 14 may 2002
Last Updated: 17 dec 2002
Journal: Interfaces and Free Boundaries
Year: 2002
Abstract:
We consider a variational approach to the problem of recovering a missing or damaged
part of an image. Representing the (grey) image by a scalar function $u$, the energy
to be minimized is
$$
\int
\nabla u
{\rm div\,}\left(\frac{\nabla u}{
\nabla u
}\right)p\,dx
$$
This energy takes into account the perimeter and the $L^p$ norm of the mean
curvature of the level sets of $u$.
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