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SIAMJO
2008
143views more  SIAMJO 2008»
13 years 9 months ago
The Proximal Average: Basic Theory
Abstract. The recently introduced proximal average of two convex functions is a convex function with many useful properties. In this paper, we introduce and systematically study th...
Heinz H. Bauschke, Rafal Goebel, Yves Lucet, Xianf...
SIAMSC
2008
237views more  SIAMSC 2008»
13 years 9 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
SIAMSC
2008
125views more  SIAMSC 2008»
13 years 9 months ago
Hybrid Simulations of Reaction-Diffusion Systems in Porous Media
Abstract. Hybrid or multiphysics algorithms provide an efficient computational tool for combining micro- and macroscale descriptions of physical phenomena. Their use becomes impera...
Alexandre M. Tartakovsky, Daniel M. Tartakovsky, T...
TIP
2008
130views more  TIP 2008»
13 years 9 months ago
Nonlocal Discrete Regularization on Weighted Graphs: A Framework for Image and Manifold Processing
We introduce a nonlocal discrete regularization framework on weighted graphs of the arbitrary topologies for image and manifold processing. The approach considers the problem as a...
Abderrahim Elmoataz, Olivier Lezoray, Sébas...
TIT
2008
73views more  TIT 2008»
13 years 9 months ago
L-CAMP: Extremely Local High-Performance Wavelet Representations in High Spatial Dimension
A new wavelet-based methodology for representing data on regular grids is introduced and studied. The main attraction of this new L-CAMP methodology is in the way it scales with th...
Youngmi Hur, Amos Ron