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Pierre Vandergheynst

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Related publications (216)

Robust Image Reconstruction from Multiview Measurements

We propose a novel method to accurately reconstruct a set of images representing a single scene from a few linear multiview measurements. Each observed image is modeled as the sum of a background image and a foreground one. The background image is common t ...

Siam Publications2014

Robust image reconstruction from multi-view measurements

Pierre Vandergheynst, Gilles Puy

We propose a novel method to accurately reconstruct a set of images representing a single scene from few linear multi-view measurements. Each observed image is modeled as the sum of a background image and a foreground one. The background image is common to ...

2014

Clustering on Multi-Layer Graphs via Subspace Analysis on Grassmann Manifolds

Pascal Frossard, Pierre Vandergheynst, Xiaowen Dong

Relationships between entities in datasets are often of multiple nature, like geographical distance, social relationships, or common interests among people in a social network, for example. This information can naturally be modeled by a set of weighted and ...

Institute of Electrical and Electronics Engineers2014

Matrix Completion on Graphs

Pierre Vandergheynst, Xavier Bresson, Vasilis Kalofolias, Michael Bronstein

The problem of finding the missing values of a matrix given a few of its entries, called matrix completion, has gathered a lot of attention in the recent years. Al- though the problem under the standard low rank assumption is NP-hard, Cande`s and Recht sho ...

2014

Numerical experiments with MALDI Imaging data

Pierre Vandergheynst, Mohammad Golbabaee

This article does not present new mathematical results, it solely aims at discussing some numerical experiments with MALDI Imaging data. However, these experiments are based on and could not be done without the mathematical results obtained in the UNLocX p ...

Springer2014

Power-Efficient Joint Compressed Sensing of Multi-Lead ECG Signals

Pierre Vandergheynst, David Atienza Alonso, Hossein Mamaghanian, Giovanni Ansaloni

Compressed Sensing (CS) is a new acquisition- compression paradigm for low-complexity energy-aware sensing and compression. By merging both sampling and compression, CS is very promising to develop practical ultra-low power read- out systems for wireless b ...

IEEE Press2014

Joint image registration and reconstruction from compressed multi-view measurements

Pierre Vandergheynst, Gilles Puy

We present a method for joint reconstruction of a set of images representing a given scene from few multi-view measurements obtained by compressed sensing. We model the correlation between measurements using global geometric transformations represented by ...

Spie-Int Soc Optical Engineering2013

S2LET: A code to perform fast wavelet analysis on the sphere

Pierre Vandergheynst, Yves Wiaux, Jason Douglas McEwen

We describe S2LET, a fast and robust implementation of the scale-discretised wavelet transform on the sphere. Wavelets are con- structed through a tiling of the harmonic line and can be used to probe spatially localised, scale-depended features of signals ...

2013

Method to compensate the effect of the rolling shutter effect

Pierre Vandergheynst, Emmanuel D'Angelo

A method to create a video sequence of a plurality of resultant images is disclosed. The video sequence is produced from images originating from a rolling shutter acquisition sensor. ...

2013

Inference of Mobility Patterns via Spectral Graph Wavelets

Pascal Frossard, Pierre Vandergheynst, Xiaowen Dong

Modern data processing tasks frequently involve structured data, for example signals defined on the vertex set of a weighted graph. In this paper, we address the problem of inference of mobility patterns from data defined on geographical graphs based on sp ...

2013

Clustering on Multi-Layer Graphs via Subspace Analysis on Grassmann Manifolds

Pascal Frossard, Pierre Vandergheynst, Xiaowen Dong

Relationships between entities in datasets are often of multiple types, which can naturally be modeled by a multi-layer graph; a common vertex set represents the entities and the edges on different layers capture different types of relationships between th ...

2013

On the Sparsity of Wavelet Coefficients for Signals on Graphs

Pierre Vandergheynst, David Shuman, Benjamin Ricaud

A number of new localized, multiscale transforms have recently been introduced to analyze data residing on weighted graphs. In signal processing tasks such as regularization and compression, much of the power of classical wavelets on the real line is deriv ...

Spie-Int Soc Optical Engineering2013

On the computation of directional scale-discretized wavelet transforms on the sphere

Pierre Vandergheynst, Yves Wiaux, Jason Douglas McEwen

We review scale-discretized wavelets on the sphere, which are directional and allow one to probe oriented struc- ture in data defined on the sphere. Furthermore, scale-discretized wavelets allow in practice the exact synthesis of a signal from its wavelet ...

SPIE2013

The PANOPTIC Camera: A Plenoptic Sensor with Real-Time Omnidirectional Capability

Alexandre Schmid, Yusuf Leblebici, Pierre Vandergheynst, Luigi Bagnato, Laurent Jacques, Hossein Afshari

A new biologically-inspired vision sensor made of one hundred "eyes" is presented, which is suitable for real-time acquisition and processing of 3-D image sequences. This device, named the Panoptic camera, consists of a layered arrangement of approximately ...

Springer Verlag2013

Compressive Source Separation: Theory and Methods for Hyperspectral Imaging

Pierre Vandergheynst, Mohammad Golbabaee

With the development of numbers of high resolution data acquisition systems and the global requirement to lower the energy consumption, the development of efficient sensing techniques becomes critical. Recently, Compressed Sampling (CS) techniques, which e ...

Institute of Electrical and Electronics Engineers2013

Column-Separated Compressive Sampling Scheme for Low Power CMOS Image Sensors

Alexandre Schmid, Yusuf Leblebici, Pierre Vandergheynst, Mahdad Hosseini Kamal, Nikola Katic, Mustafa Kilic

A novel compressive sampling scheme suitable for highly scalable hardware implementations is presented. The scheme utilizes an identical pseudo-random sequence for every image column, therefore reducing in-pixel hardware complexity and allowing measurement ...

IEEE2013

Sparse Reverberant Audio Source Separation via Reweighted Analysis

Jean-Philippe Thiran, Pierre Vandergheynst, Yves Wiaux, Rafael Eduardo Carrillo Rangel

We propose a novel algorithm for source signals estimation from an underdetermined convolutive mixture assuming known mixing filters. Most of the state-of-the-art methods are dealing with anechoic or short reverberant mixture, assuming a synthesis sparse p ...

Institute of Electrical and Electronics Engineers2013

Joint reconstruction of misaligned images from incomplete measurements for cardiac MRI

Pierre Vandergheynst, Gilles Puy, Gabriele Vincenzo Bonanno

We present a novel method for robust reconstruction of the image of a moving object from incomplete linear measurements. We assume that only few measurements of this object can be acquired at different instants and model the correlation between measurement ...

2013

Non-convex optimization for robust multi-view imaging

Pierre Vandergheynst, Gilles Puy

We study the multi-view imaging problem where one has to reconstruct a set of l images, representing a single scene, from a few measurements made at different viewpoints. We first express the solution of the problem as the minimizer of a non-convex objecti ...

2013

Sparse image reconstruction on the sphere: implications of a new sampling theorem

Jean-Philippe Thiran, Pierre Vandergheynst, Dimitri Nestor Alice Van De Ville, Yves Wiaux, Gilles Puy, Jason Douglas McEwen

A new sampling theorem on the sphere has been developed recently, reducing the number of samples required to represent a band-limited signal by a factor of two for equiangular sampling schemes. For signals sparse in a spatially localised measure, such as i ...

Institute of Electrical and Electronics Engineers2013

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