Publications related to Proximity Operators of Discrete Information Divergences

A Fast Wavelet-Based Reconstruction Method for Magnetic Resonance Imaging

In this work, we exploit the fact that wavelets can represent magnetic resonance images well, with relatively few coefficients. We use this property to improve magnetic resonance imaging (MRI) reconstructions from undersampled data with arbitrary k-space t ...

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

GPU-accelerated Convex Multi-phase Image Segmentation

Jean-Philippe Thiran, Xavier Bresson, Subrahmanyam Venkata Ravi Mohana Sai Gorthi, Hadrien Copponnex, Arnaud Le Carvennec

Image segmentation is a key area of research in computer vision. Recent advances facilitated reformulation of the non-convex multi-phase segmentation problem as a convex optimization problem (see for example [2, 4, 9, 10, 13, 16]). Recently, [3] proposed a ...

2011

Linear Local Models for Monocular Reconstruction of Deformable Surfaces

Pascal Fua, Mathieu Salzmann

Recovering the 3D shape of a nonrigid surface from a single viewpoint is known to be both ambiguous and challenging. Resolving the ambiguities typically requires prior knowledge about the most likely deformations that the surface may undergo. It often take ...

2011

Robust Controller Design by Convex Optimization based on Finite Frequency Samples of Spectral Models

Alireza Karimi, Roland Longchamp, Gorka Galdos Sanz de Galdeano

Some frequency-domain controller design problems are solved using a finite number of frequency samples. Consequently, the performance and stability conditions are not guaranteed for the frequencies between the frequency samples. In this paper, all possible ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2010

An Optimal Algorithm for Reconstructing Images from Binary Measurements

Martin Vetterli, Luciano Sbaiz, Yue Lu, Feng Yang

We have studied a camera with a very large number of binary pixels referred to as the gigavision camera or the gigapixel digital film camera. Potential advantages of this new camera design include improved dynamic range, thanks to its logarithmic sensor re ...

2010

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

Fast hard thresholding with Nesterov's gradient method

Volkan Cevher, Sina Jafarpour

We provide an algorithmic framework for structured sparse recovery which unifies combinatorial optimization with the non-smooth convex optimization framework by Nesterov [1, 2]. Our algorithm, dubbed Nesterov iterative hard-thresholding (NIHT), is similar ...

2010

Continuity Properties of Law-Invariant (Quasi-)Convex Risk Functions on L∞

Gregor Svindland

We study continuity properties of law-invariant (quasi-)convex functions f : L1(Ω,F, P) to ( ∞,∞] over a non-atomic probability space (Ω,F, P) .This is a supplementary note to [12] ...

Springer Verlag2010

Minimum distance between pattern transformation manifolds: Algorithm and Applications

Pascal Frossard, Effrosyni Kokiopoulou

Transformation invariance is an important property in pattern recognition, where different observations of the same object typically receive the same label. This paper focuses on a transformation invariant distance measure that represents the minimum dista ...

2009

Proximity Operators of Discrete Information Divergences

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A Fast Wavelet-Based Reconstruction Method for Magnetic Resonance Imaging

FAST TV-L1 OPTICAL FLOW FOR INTERACTIVITY

GPU-accelerated Convex Multi-phase Image Segmentation

Linear Local Models for Monocular Reconstruction of Deformable Surfaces

Robust Controller Design by Convex Optimization based on Finite Frequency Samples of Spectral Models

An Optimal Algorithm for Reconstructing Images from Binary Measurements

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

Fast hard thresholding with Nesterov's gradient method

Continuity Properties of Law-Invariant (Quasi-)Convex Risk Functions on L∞

Minimum distance between pattern transformation manifolds: Algorithm and Applications

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

A Fast Wavelet-Based Reconstruction Method for Magnetic Resonance Imaging

Linear Local Models for Monocular Reconstruction of Deformable Surfaces

Continuity Properties of Law-Invariant (Quasi-)Convex Risk Functions on L∞

Robust Controller Design by Convex Optimization based on Finite Frequency Samples of Spectral Models

Fast hard thresholding with Nesterov's gradient method

An Optimal Algorithm for Reconstructing Images from Binary Measurements

Minimum distance between pattern transformation manifolds: Algorithm and Applications

GPU-accelerated Convex Multi-phase Image Segmentation

FAST TV-L1 OPTICAL FLOW FOR INTERACTIVITY