Publications related to An Extension of Oblique Projection Sampling Theorem

Uncertain Sampling with Certain Priors

Sampling has always been at the heart of signal processing providing a bridge between the analogue world and discrete representations of it, as our ability to process data in continuous space is quite limited. Furthermore, sampling plays a key part in unde ...

EPFL2021

Approximation of Non-decaying Signals from Shift-Invariant Subspaces

Michaël Unser, Quy Ha Nguyen

In our recent work, the sampling and reconstruction of non-decaying signals, modeled as members of weighted-L-p spaces, were shown to be stable with an appropriate choice of the generating kernel for the shift-invariant reconstruction space. In this paper, ...

2019

Random sampling of bandlimited signals on graphs

Pierre Vandergheynst, Rémi Gribonval, Gilles Puy, Nicolas Tremblay

We study the problem of sampling k-bandlimited signals on graphs. We propose two sampling strategies that consist in selecting a small subset of nodes at random. The first strategy is non-adaptive, i.e., independent of the graph structure, and its performa ...

Elsevier2018

Shapes from Pixels

Mitra Fatemi

In today's digital world, sampling is at the heart of any signal acquisition device. Imaging devices are ubiquitous examples that capture two-dimensional visual signals and store them as the pixels of discrete images. The main concern is whether and how th ...

EPFL2016

Compressed delay-and-sum beamforming for ultrafast ultrasound imaging

Jean-Philippe Thiran, Yves Wiaux, Rafael Eduardo Carrillo Rangel, Adrien Georges Jean Besson, Olivier Bernard

The theory of compressed sensing (CS) leverages upon structure of signals in order to reduce the number of samples needed to reconstruct a signal, compared to the Nyquist rate. Although CS approaches have been proposed for ultrasound (US) imaging with prom ...

Ieee2016

Sampling and Reconstruction of Shapes with Algebraic Boundaries

Martin Vetterli, Arash Amini, Mitra Fatemi

We present a sampling theory for a class of binary images with finite rate of innovation (FRI). Every image in our model is the restriction of

\mathds{1}_{\{p\leq0\}}

to the image plane, where

\mathds{1}

denotes the indicator function and

p

is some r ...

2016

Random sampling of bandlimited signals on graphs

Pierre Vandergheynst, Rémi Gribonval, Gilles Puy, Nicolas Tremblay

We study the problem of sampling

k

-bandlimited signals on graphs. We propose two sampling strategies that consist in selecting a small subset of nodes at random. The first strategy is non-adaptive, \ie, independent of the graph structure, and its perform ...

2015

Subsampling as an economic consequence of using whole genome sequence data in landscape genomics: how to maximize environmental information from a reduced number of locations?

Stéphane Joost, Sylvie Stucki, Kevin Leempoel

The recent availability of whole genome sequence (WGS) data implies to reconsider sampling strategies in landscape genomics for economic reasons. Indeed, while we had many individuals and few genetic markers ten years ago, we now face the contrary with hig ...

2014

Calibration and field application of passive sampling for episodic exposure to polar organic pesticides in streams

Rainfall-triggered runoff is a major driver of pesticide input in streams. Only few studies have examined the suitability of passive sampling to quantify such episodic exposures. In this study, we used Empore(TM) styrene-divinylbenzene reverse phase sulfon ...

Elsevier2014

Development of a low-cost wireless controller for flexible sampling strategies based on real-time flow monitoring

Andrea Rinaldo, Pierre Claude Jean Queloz, Jonathan Besuchet

Even if models are able to predict more and more accurately pollutant discharge in streams, surface water sampling remains a very common practice to monitor substance concentrations and loads in streams and to calibrate models. However, as this method is t ...

2013

An Extension of Oblique Projection Sampling Theorem

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Uncertain Sampling with Certain Priors

Approximation of Non-decaying Signals from Shift-Invariant Subspaces

Random sampling of bandlimited signals on graphs

Shapes from Pixels

Compressed delay-and-sum beamforming for ultrafast ultrasound imaging

Sampling and Reconstruction of Shapes with Algebraic Boundaries

Random sampling of bandlimited signals on graphs

Subsampling as an economic consequence of using whole genome sequence data in landscape genomics: how to maximize environmental information from a reduced number of locations?

Calibration and field application of passive sampling for episodic exposure to polar organic pesticides in streams

Development of a low-cost wireless controller for flexible sampling strategies based on real-time flow monitoring

Random sampling of bandlimited signals on graphs

Sampling and Reconstruction of Shapes with Algebraic Boundaries

Compressed delay-and-sum beamforming for ultrafast ultrasound imaging

Shapes from Pixels

Random sampling of bandlimited signals on graphs

Approximation of Non-decaying Signals from Shift-Invariant Subspaces

Uncertain Sampling with Certain Priors

Subsampling as an economic consequence of using whole genome sequence data in landscape genomics: how to maximize environmental information from a reduced number of locations?

Development of a low-cost wireless controller for flexible sampling strategies based on real-time flow monitoring

Calibration and field application of passive sampling for episodic exposure to polar organic pesticides in streams