Difference between revisions of "Publications/darbon.07.mirage"
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{{Publication |
{{Publication |
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| date = 2006-12-29 |
| date = 2006-12-29 |
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| 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) |
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| address = Paris, France |
| address = Paris, France |
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+ | | 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. |
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− | | urllrde = 200703-MIRAGE |
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⚫ | | 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 |
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| lrdekeywords = Image |
| lrdekeywords = Image |
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| lrdenewsdate = 2006-12-29 |
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address = <nowiki>{</nowiki>Paris, France<nowiki>}</nowiki>, |
address = <nowiki>{</nowiki>Paris, France<nowiki>}</nowiki>, |
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month = mar, |
month = mar, |
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− | project = <nowiki>{</nowiki>Image<nowiki>}</nowiki>, |
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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 |
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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
- Authors
- Jérôme Darbon
- Where
- Proceedings of the international Computer Vision / Computer Graphics Collaboration Techniques and Applications (MIRAGE 2007)
- Place
- Paris, France
- Type
- inproceedings
- Projects
- Olena
- Keywords
- Image
- Date
- 2006-12-29
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.} }