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![Optimal Approximations by Piecewise Smooth Functions and Associated Variational Problems - [ Mumford-Shah ]](https://www.sciweavers.org/files/imagecache/thumbnail/imagecache/mumphord_shah.jpg "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...
SIAMSC
2008
13 years 5 months ago
2008
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...
CVPR
2007
IEEE
14 years 7 months ago
2007
IEEE
Recent results on stereo indicate that an accurate segmentation is crucial for obtaining faithful depth maps. Variational methods have successfully been applied to both image segm...
SCALESPACE
2007
Springer
13 years 11 months ago
2007
Springer
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...
ICCV
2009
IEEE
14 years 10 months ago
2009
IEEE
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...