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Mumford–Shah functional

Known as: Mumford Shah functional, Mumford-Shah Functional, Mumford-Shah energy functional 
The Mumford–Shah functional is a functional that is used to establish an optimality criterion for segmenting an image into sub-regions. An image is… Expand
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Papers overview

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2014
2014
We propose an algorithm for efficiently minimizing the piecewise smooth Mumford-Shah functional. The algorithm is based on an… Expand
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Highly Cited
2014
Highly Cited
2014
  • Qiang Chen, Chuanjiang He
  • EURASIP J. Image and Video Processing
  • 2014
  • Corpus ID: 23815099
In the paper, we present an efficient method to solve the piecewise constant Mumford-Shah (M-S) model for two-phase image… Expand
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2014
2014
We focus on the multi-class segmentation problem using the piecewise constant Mumford-Shah model in a graph setting. After… Expand
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Highly Cited
2009
Highly Cited
2009
In this work we revisit the Mumford-Shah functional, one of the most studied variational approaches to image segmentation. The… Expand
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Highly Cited
2007
Highly Cited
2007
A level-set based approach for the determination of a piecewise constant density function from data of its Radon transform is… Expand
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Highly Cited
2006
Highly Cited
2006
We propose an efficient algorithm for minimizing the piecewise constant Mumford-Shah functional of image segmentation. It is… Expand
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Highly Cited
2006
Highly Cited
2006
In this paper, we propose a new variational model to segment an object belonging to a given shape space using the active contour… Expand
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Highly Cited
2005
Highly Cited
2005
This paper introduces a multi-scale theory of piecewise image modelling, called the scale-sets theory, and which can be regarded… Expand
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Highly Cited
2004
Highly Cited
2004
We present a modification of the Mumford-Shah functional and its cartoon limit which facilitates the incorporation of a… Expand
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Highly Cited
2002
Highly Cited
2002
Image inpainting is an image restoration problem, in which image models play a critical role, as demonstrated by Chan, Kang… Expand
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