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15 years 1 months ago
Optimal Approximations by Piecewise Smooth Functions and Associated Variational Problems - [ Mumford-Shah ]
"The purpose of this paper is to introduce and study the most basic properties of three new variational problems which are suggested by applications to computer vision. In com...
David Mumford and Jayant Shah
EMMCVPR
2011
Springer
12 years 5 months ago
Discrete Optimization of the Multiphase Piecewise Constant Mumford-Shah Functional
Abstract. The Mumford-Shah model has been one of the most powerful models in image segmentation and denoising. The optimization of the multiphase Mumford-Shah energy functional has...
Noha Youssry El-Zehiry, Leo Grady
SIAMSC
2008
237views more  SIAMSC 2008»
13 years 5 months ago
A Variational Shape Optimization Approach for Image Segmentation with a Mumford--Shah Functional
We introduce a novel computational method for a Mumford-Shah functional, which decomposes a given image into smooth regions separated by closed curves. Casting this as a shape opti...
Günay Dogan, Pedro Morin, Ricardo H. Nochetto
MIRAGE
2007
Springer
13 years 11 months ago
A Note on the Discrete Binary Mumford-Shah Model
Abstract. This paper is concerned itself with the analysis of the twophase Mumford-Shah model also known as the active contour without edges model introduced by Chan and Vese. It c...
Jérôme Darbon
SCALESPACE
2007
Springer
13 years 11 months ago
A Geometric-Functional-Based Image Segmentation and Inpainting
Abstract. The Mumford-Shah functional minimization, and related algorithms for image segmentation, involve a tradeoff between a twodimensional image structure and one-dimensional ...
Vladimir Kluzner, Gershon Wolansky, Yehoshua Y. Ze...