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SIAMIS
2010
378views more  SIAMIS 2010»
13 years 6 months ago
Global Interactions in Random Field Models: A Potential Function Ensuring Connectedness
Markov random field (MRF) models, including conditional random field models, are popular in computer vision. However, in order to be computationally tractable, they are limited to ...
Sebastian Nowozin, Christoph H. Lampert
SIAMIS
2010
171views more  SIAMIS 2010»
13 years 6 months ago
Global Optimization for One-Dimensional Structure and Motion Problems
We study geometric reconstruction problems in one-dimensional retina vision. In such problems, the scene is modeled as a 2D plane, and the camera sensor produces 1D images of the s...
Olof Enqvist, Fredrik Kahl, Carl Olsson, Kalle &Ar...
SIAMIS
2010
283views more  SIAMIS 2010»
13 years 6 months ago
A General Framework for a Class of First Order Primal-Dual Algorithms for Convex Optimization in Imaging Science
We generalize the primal-dual hybrid gradient (PDHG) algorithm proposed by Zhu and Chan in [M. Zhu, and T. F. Chan, An Efficient Primal-Dual Hybrid Gradient Algorithm for Total Var...
Ernie Esser, Xiaoqun Zhang, Tony F. Chan
SIAMIS
2010
109views more  SIAMIS 2010»
13 years 6 months ago
Application of the Topological Gradient Method to Color Image Restoration
The goal of this note is to generalize the topological gradient method, applied to restoration and classification problems for grey-level images, to color images. We illustrate ou...
Didier Auroux, Lamia Jaafar Belaid, Badreddine Rja...
SIAMIS
2010
127views more  SIAMIS 2010»
13 years 10 months ago
Bregmanized Nonlocal Regularization for Deconvolution and Sparse Reconstruction
We propose two algorithms based on Bregman iteration and operator splitting technique for nonlocal TV regularization problems. The convergence of the algorithms is analyzed and ap...
Xiaoqun Zhang, Martin Burger, Xavier Bresson, Stan...
SIAMIS
2010
92views more  SIAMIS 2010»
13 years 10 months ago
Reconstruction of Thin Tubular Inclusions in Three-Dimensional Domains Using Electrical Impedance Tomography
We consider the inverse problem of reconstructing thin tubular inclusions inside some three-dimensional body from measurements of electrostatic currents and potentials on its bound...
Roland Griesmaier
SIAMIS
2010
147views more  SIAMIS 2010»
13 years 10 months ago
Augmented Lagrangian Method, Dual Methods, and Split Bregman Iteration for ROF, Vectorial TV, and High Order Models
In image processing, the Rudin-Osher-Fatemi (ROF) model [L. Rudin, S. Osher, and E. Fatemi, Physica D, 60(1992), pp. 259–268] based on total variation (TV) minimization has prove...
Chunlin Wu, Xue-Cheng Tai
SIAMIS
2010
176views more  SIAMIS 2010»
13 years 10 months ago
Optimized Conformal Surface Registration with Shape-based Landmark Matching
Surface registration, which transforms different sets of surface data into one common reference space, is an important process which allows us to compare or integrate the surface ...
Lok Ming Lui, Sheshadri R. Thiruvenkadam, Yalin Wa...
SIAMIS
2010
114views more  SIAMIS 2010»
13 years 10 months ago
Improved Total Variation-Type Regularization Using Higher Order Edge Detectors
We present a novel deconvolution approach to accurately restore piecewise smooth signals from blurred data. The first stage uses Higher Order Total Variation restorations to obtai...
Wolfgang Stefan, Rosemary A. Renaut, Anne Gelb