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… (More)
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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… (More)
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2013
2013
Image segmentation is intended to group perceptually similar pixels into 2D regions, and the corresponding border is gained at… (More)
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2012
2012
We propose the first tractable convex formulation of the vectorial Mumford-Shah functional which allows to compute high-quality… (More)
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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… (More)
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Highly Cited
2009
Highly Cited
2009
The Mumford-Shah functional has had a major impact on a variety of image analysis problems, including image segmentation and… (More)
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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… (More)
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Highly Cited
2004
Highly Cited
2004
We propose an efficient algorithm for minimizing the piecewise constant Mumford–Shah functional of image segmentation. It is… (More)
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Highly Cited
2002
Highly Cited
2002
We present a modification of the Mumford-Shah functional and its cartoon limit which facilitates the incorporation of a… (More)
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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… (More)
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1999
1999
The Mumford-Shah functional, introduced to study image segmentation problems, is approximated in the sense of F-convergence by a… (More)
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