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SCALESPACE
2007
Springer
13 years 11 months ago
On the Statistical Interpretation of the Piecewise Smooth Mumford-Shah Functional
In region-based image segmentation, two models dominate the field: the Mumford-Shah functional and statistical approaches based on Bayesian inference. Whereas the latter allow for...
Thomas Brox, Daniel Cremers
ICCV
2009
IEEE
14 years 10 months ago
An Algorithm for Minimizing the Piecewise Smooth Mumford-Shah Functional
In this work we revisit the Mumford-Shah functional, one of the most studied variational approaches to image segmentation. The contribution of this paper is to propose an algori...
Thomas Pock, Daniel Cremers, Horst Bischof, Antoni...

Publication
700views
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
CVPR
2000
IEEE
14 years 7 months ago
A Curve Evolution Approach to Smoothing and Segmentation Using the Mumford-Shah Functional
In this work, we approach the classic Mumford-Shah problem from a curve evolution perspective. In particular, we let a given family of curves define the boundaries between regions...
Andy Tsai, Anthony J. Yezzi, Alan S. Willsky
SIAMSC
2008
237views more  SIAMSC 2008»
13 years 4 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