Publications related to Coarse graining and large-N behavior of the d-dimensional N-clock model

The importance of priors for l2 regularization and total variation methods in quantitative susceptibility mapping

Rolf Gruetter, Yves Wiaux, José Pedro Rebelo Ferreira Marques, Gilles Puy, Diana Khabipova

Phase imaging has been demonstrated to offer a good contrast between and within brain tissues at 7T[1] with iron and myelin concentration being amongst the main modulators of the observed contrast due to their para- and dia-magnetic properties.Phase imagin ...

2012

Directional Input Adaptation in Parametric Optimal Control Problems

Dominique Bonvin, Benoît Chachuat, Saurabh Anand Deshpande

This paper deals with input adaptation in dynamic processes in order to guarantee feasible and optimal operation despite the presence of uncertainty. The proposed adaptation consists in using the nominal optimal inputs and adding appropriately designed inp ...

Society for Industrial and Applied Mathematics2012

On Regularized Reconstruction of Vector Fields

Michaël Unser, Pouya Dehghani Tafti

In this paper, we give a general characterization of regularization functionals for vector field reconstruction, based on the requirement that the said functionals satisfy certain geometric invariance properties with respect to transformations of the coord ...

IEEE2011

A Signal Processing Approach to Generalized 1-D Total Variation

Dimitri Nestor Alice Van De Ville, Fikret Isik Karahanoglu, Ilker Bayram

Total variation (TV) is a powerful method that brings great benefit for edge-preserving regularization. Despite being widely employed in image processing, it has restricted applicability for 1-D signal processing since piecewise-constant signals form a rat ...

Institute of Electrical and Electronics Engineers2011

FAST TV-L1 OPTICAL FLOW FOR INTERACTIVITY

Pierre Vandergheynst, Gilles Puy, Emmanuel D'Angelo, Johann Paratte

Vision is a natural tool for human-computer interaction, since it pro- vides visual feedback to the user and mimics some human behaviors. It requires however the fast and robust computation of motion primi- tives, which remains a difficult problem. In this ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2011

Fast Space-Variant Elliptical Filtering Using Box Splines

Michaël Unser, Kunal Narayan Chaudhury

The efficient realization of linear space-variant (non-convolution) filters is a challenging computational problem in image processing. In this paper, we demonstrate that it is possible to filter an image with a Gaussian-like elliptic window of varying siz ...

IEEE2010

An optimal first-order solver for the TV-$L_1$ optical flow problem

Pierre Vandergheynst, Gilles Puy, Emmanuel D'Angelo

In this study, we address the problem of computing efficiently a dense optical flow between two images under a total variation (TV) regularization and an

L_1

norm data fidelity constraint using a variational method. We build upon Nesterov's framework for ...

2010

Plenoptic based super-resolution for omnidirectional image sequences

Pascal Frossard, Pierre Vandergheynst, Luigi Bagnato

This paper addresses the reconstruction of high resolution omnidirectional images from a low resolution video acquired by an omnidirectional camera moving in a static scene. In order to exploit the additional information provided by the side images in the ...

2010

On A Class Of Mean Field Solutions Of The Monge Problem For Perfect And Self-Interacting Systems

Philippe Choquard

The Monge problem (Monge 1781; Taton 1951), as reformulated by Kantorovich (2006a, 2006b) is that of the transportation at a minimum "cost" of a given mass distribution from an initial to a final position during a given time interval. It is an optimal tran ...

2010

A Variational Model for Object Segmentation Using Boundary Information, Statistical Shape Prior and the Mumford-Shah Functional

Jean-Philippe Thiran, Pierre Vandergheynst, Xavier Bresson

In this paper, we propose a variational model to segment an object belonging to a given scale space using the active contour method, a geometric shape prior and the Mumford-Shah functional. We define an energy functional composed by three complementary ter ...

2004

Coarse graining and large-N behavior of the d-dimensional N-clock model

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The importance of priors for l2 regularization and total variation methods in quantitative susceptibility mapping

Directional Input Adaptation in Parametric Optimal Control Problems

On Regularized Reconstruction of Vector Fields

A Signal Processing Approach to Generalized 1-D Total Variation

FAST TV-L1 OPTICAL FLOW FOR INTERACTIVITY

Fast Space-Variant Elliptical Filtering Using Box Splines

An optimal first-order solver for the TV-$L_1$ optical flow problem

Plenoptic based super-resolution for omnidirectional image sequences

On A Class Of Mean Field Solutions Of The Monge Problem For Perfect And Self-Interacting Systems

A Variational Model for Object Segmentation Using Boundary Information, Statistical Shape Prior and the Mumford-Shah Functional

Directional Input Adaptation in Parametric Optimal Control Problems

On Regularized Reconstruction of Vector Fields

On A Class Of Mean Field Solutions Of The Monge Problem For Perfect And Self-Interacting Systems

FAST TV-L1 OPTICAL FLOW FOR INTERACTIVITY

An optimal first-order solver for the TV-$L_1$ optical flow problem

The importance of priors for l2 regularization and total variation methods in quantitative susceptibility mapping

Fast Space-Variant Elliptical Filtering Using Box Splines

A Variational Model for Object Segmentation Using Boundary Information, Statistical Shape Prior and the Mumford-Shah Functional

A Signal Processing Approach to Generalized 1-D Total Variation

Plenoptic based super-resolution for omnidirectional image sequences