A Vectorial Self-Dual Morphological Filter based on Total Variation Minimization
From LRDE
- Authors
- Jérôme Darbon, Sylvain Peyronnet
- Where
- Proceedings of the First International Conference on Visual Computing
- Place
- Lake Tahoe, Nevada, USA
- Type
- inproceedings
- Publisher
- Springer-Verlag
- Projects
- Olena
- Keywords
- Image
- Date
- 2005-08-20
Abstract
We present a vectorial self dual morphological filter. Contrary to many methods, our approach does not require the use of an ordering on vectors. It relies on the minimization of the total variation with norm as data fidelity on each channel. We further constraint this minimization in order not to create new values. It is shown that this minimization yields a self-dual and contrast invariant filter. Although the above minimization is not a convex problem, we propose an algorithm which computes a global minimizer. This algorithm relies on minimum cost cut-based optimizations.
Bibtex (lrde.bib)
@InProceedings{ darbon.05.isvc, author = {J\'er\^ome Darbon and Sylvain Peyronnet}, title = {A Vectorial Self-Dual Morphological Filter based on Total Variation Minimization}, booktitle = {Proceedings of the First International Conference on Visual Computing}, year = 2005, address = {Lake Tahoe, Nevada, USA}, month = dec, pages = {388--395}, series = {Lecture Notes in Computer Science Series}, publisher = {Springer-Verlag}, volume = 3804, abstract = {We present a vectorial self dual morphological filter. Contrary to many methods, our approach does not require the use of an ordering on vectors. It relies on the minimization of the total variation with $L^1$ norm as data fidelity on each channel. We further constraint this minimization in order not to create new values. It is shown that this minimization yields a self-dual and contrast invariant filter. Although the above minimization is not a convex problem, we propose an algorithm which computes a global minimizer. This algorithm relies on minimum cost cut-based optimizations.} }