Difference between revisions of "Publications/darbon.07.mirage"

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{{Publication
 
{{Publication
  +
| published = true
 
| date = 2006-12-29
 
| date = 2006-12-29
 
| authors = Jérôme Darbon
 
| authors = Jérôme Darbon
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| booktitle = Proceedings of the international Computer Vision / Computer Graphics Collaboration Techniques and Applications (MIRAGE 2007)
 
| booktitle = Proceedings of the international Computer Vision / Computer Graphics Collaboration Techniques and Applications (MIRAGE 2007)
 
| address = Paris, France
 
| address = Paris, France
| project = Image
+
| lrdeprojects = Olena
 
| abstract = This paper is concerned itself with the analysis of the two-phase Mumford-Shah model also known as the active contour without edges model introduced by Chan and Vese. It consists of approximating an observed image by a piecewise constant image which can take only two values. First we show that this model with the <math>L^1</math>-norm as data fidelity yields a contrast invariant filter which is a well known property of morphological filters. Then we consider a discrete version of the original problem. We show that an inclusion property holds for the minimizers. The latter is used to design an efficient graph-cut based algorithm which computes an exact minimizer. Some preliminary results are presented.
| urllrde = 200703-MIRAGE
 
| abstract = This paper is concerned itself with the analysis of the two-phase Mumford-Shah model also known as the active contour without edges model introduced by Chan and Vese. It consists of approximating an observed image by a piecewise constant image which can take only two values. First we show that this model with the $L^1$-norm as data fidelity yields a contrast invariant filter which is a well known property of morphological filters. Then we consider a discrete version of the original problem. We show that an inclusion property holds for the minimizers. The latter is used to design an efficient graph-cut based algorithm which computes an exact minimizer. Some preliminary results are presented.
 
 
| lrdekeywords = Image
 
| lrdekeywords = Image
 
| lrdenewsdate = 2006-12-29
 
| lrdenewsdate = 2006-12-29
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address = <nowiki>{</nowiki>Paris, France<nowiki>}</nowiki>,
 
address = <nowiki>{</nowiki>Paris, France<nowiki>}</nowiki>,
 
month = mar,
 
month = mar,
project = <nowiki>{</nowiki>Image<nowiki>}</nowiki>,
 
 
abstract = <nowiki>{</nowiki>This paper is concerned itself with the analysis of the
 
abstract = <nowiki>{</nowiki>This paper is concerned itself with the analysis of the
 
two-phase Mumford-Shah model also known as the active
 
two-phase Mumford-Shah model also known as the active

Latest revision as of 19:20, 5 January 2018

Abstract

This paper is concerned itself with the analysis of the two-phase Mumford-Shah model also known as the active contour without edges model introduced by Chan and Vese. It consists of approximating an observed image by a piecewise constant image which can take only two values. First we show that this model with the -norm as data fidelity yields a contrast invariant filter which is a well known property of morphological filters. Then we consider a discrete version of the original problem. We show that an inclusion property holds for the minimizers. The latter is used to design an efficient graph-cut based algorithm which computes an exact minimizer. Some preliminary results are presented.


Bibtex (lrde.bib)

@InProceedings{	  darbon.07.mirage,
  author	= {J\'er\^ome Darbon},
  title		= {A Note on the Discrete Binary {Mumford-Shah} Model},
  booktitle	= {Proceedings of the international Computer Vision /
		  Computer Graphics Collaboration Techniques and Applications
		  (MIRAGE 2007)},
  year		= 2007,
  address	= {Paris, France},
  month		= mar,
  abstract	= {This paper is concerned itself with the analysis of the
		  two-phase Mumford-Shah model also known as the active
		  contour without edges model introduced by Chan and Vese. It
		  consists of approximating an observed image by a piecewise
		  constant image which can take only two values. First we
		  show that this model with the $L^1$-norm as data fidelity
		  yields a contrast invariant filter which is a well known
		  property of morphological filters. Then we consider a
		  discrete version of the original problem. We show that an
		  inclusion property holds for the minimizers. The latter is
		  used to design an efficient graph-cut based algorithm which
		  computes an exact minimizer. Some preliminary results are
		  presented.}
}