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CVPR
2009
IEEE
14 years 11 months ago
A Convex Relaxation Approach for Computing Minimal Partitions
In this work we propose a convex relaxation approach for computing minimal partitions. Our approach is based on rewriting the minimal partition problem (also known as Potts mode...
Thomas Pock (Graz University of Technology), Anton...
EMMCVPR
2011
Springer
12 years 4 months ago
Optimality Bounds for a Variational Relaxation of the Image Partitioning Problem
Variational relaxations can be used to compute approximate minimizers of optimal partitioning and multiclass labeling problems on continuous domains. While the resulting relaxed co...
Jan Lellmann, Frank Lenzen, Christoph Schnörr
IJCV
2011
180views more  IJCV 2011»
12 years 11 months ago
Global Minimization for Continuous Multiphase Partitioning Problems Using a Dual Approach
This paper is devoted to the optimization problem of continuous multipartitioning, or multi-labeling, which is based on a convex relaxation of the continuous Potts model. In contr...
Egil Bae, Jing Yuan, Xue-Cheng Tai
CVPR
2009
IEEE
14 years 11 months ago
Continuous Ratio Optimization via Convex Relaxation with Applications to Multiview 3D Reconstruction
We introduce a convex relaxation framework to optimally minimize continuous surface ratios. The key idea is to minimize the continuous surface ratio by solving a sequence of con...
Kalin Kolev (University of Bonn), Daniel Cremers (...
ICCV
2009
IEEE
13 years 2 months ago
An algorithm for minimizing the 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 algorith...
Thomas Pock, Daniel Cremers, Horst Bischof, Antoni...