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» A Curve Evolution Approach to Smoothing and Segmentation Usi...
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CVPR
2000
IEEE
14 years 6 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
ICIP
2000
IEEE
14 years 6 months ago
Curve Evolution, Boundary-Value Stochastic Processes, the Mumford-Shah Problem, and Missing Data Applications
We present an estimation-theoretic approach to curve evolution for the Mumford-Shah problem. By viewing an active contour as the set of discontinuities in the Mumford-Shah problem...
Andy Tsai, Anthony J. Yezzi, Alan S. Willsky
ICPR
2006
IEEE
14 years 5 months ago
Bottom-Up Hierarchical Image Segmentation Using Region Competition and the Mumford-Shah Functional
This paper generalizes the methods in a previous paper [10] in two ways. First, a more comprehensive analysis of the initialization problem of the Chan-Vese models is given. Secon...
J. Douglas Birdwell, Seddik M. Djouadi, Yongsheng ...
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
ICIP
2002
IEEE
14 years 6 months ago
A curve evolution-based variational approach to simultaneous image restoration and segmentation
In this paper, we introduce a novel approach for simultaneous restoration and segmentation of blurred, noisy images by approaching a variant of the Mumford-Shah functional from a ...
Alan S. Willsky, Andy Tsai, Junmo Kim, Müjdat...