Publications related to Sampling at unknown locations: Uniqueness and reconstruction under constraints

Handheld reflectance acquisition of paintings

Martin Vetterli, Sabine Süsstrunk, Loïc Arnaud Baboulaz, Damien Firmenich, Niranjan Thanikachalam

Relightable photographs are alternatives to traditional photographs as they provide a richer viewing experience. However, the complex acquisition systems of existing techniques have restricted its usage to specialized setups. We introduce an easy-to-use an ...

Ieee-Inst Electrical Electronics Engineers Inc2017

Smooth Primal-Dual Coordinate Descent Algorithms for Nonsmooth Convex Optimization

Volkan Cevher, Quoc Tran Dinh, Ahmet Alacaoglu

We propose a new randomized coordinate descent method for a convex optimization template with broad applications. Our analysis relies on a novel combination of four ideas applied to the primal-dual gap function: smoothing, acceleration, homotopy, and coord ...

2017

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

Riemannian Optimization For High-Dimensional Tensor Completion

Michael Maximilian Steinlechner

Tensor completion aims to reconstruct a high-dimensional data set where the vast majority of entries is missing. The assumption of low-rank structure in the underlying original data allows us to cast the completion problem into an optimization problem rest ...

Siam Publications2016

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

MATHICSE Technical Report : Riemannian optimization for high-dimensional tensor completion

Michael Maximilian Steinlechner

Tensor completion aims to reconstruct a high-dimensional data set with a large fraction of missing entries. The assumption of low-rank structure in the underlying original data allows us to cast the completion problem into an optimization problem restricte ...

MATHICSE2015

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

Identification of Rational Transfer Functions from Sampled Data

Michaël Unser, John Paul Ward, Hagay Kirshner

We consider the task of estimating an operator from sampled data. The operator, which is described by a rational transfer function, is applied to continuous-time white noise and the resulting continuous-time process is sampled uniformly. The main question ...

SampTA2013

Sampling Trajectories for Mobile Sensing

Martin Vetterli, Jayakrishnan Unnikrishnan

Classical sampling theory for sampling and reconstructing bandlimited fields in

\Re^d

addresses the problem of sampling on lattice points. We consider a generalization of this problem, in which one samples the field along

1

-dimensional spatial trajecto ...

2011

Sampling theorems and compressive sensing on the sphere

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

We discuss a novel sampling theorem on the sphere developed by McEwen & Wiaux recently through an association between the sphere and the torus. To represent a band-limited signal exactly, this new sampling theorem requires less than half the number of samp ...

Spie-Int Soc Optical Engineering, Po Box 10, Bellingham, Wa 98227-0010 Usa2011

Sampling at unknown locations: Uniqueness and reconstruction under constraints

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Handheld reflectance acquisition of paintings

Smooth Primal-Dual Coordinate Descent Algorithms for Nonsmooth Convex Optimization

Shapes from Pixels

Riemannian Optimization For High-Dimensional Tensor Completion

Random sampling of bandlimited signals on graphs

MATHICSE Technical Report : Riemannian optimization for high-dimensional tensor completion

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

Identification of Rational Transfer Functions from Sampled Data

Sampling Trajectories for Mobile Sensing

Sampling theorems and compressive sensing on the sphere

Random sampling of bandlimited signals on graphs

Sampling Trajectories for Mobile Sensing

Smooth Primal-Dual Coordinate Descent Algorithms for Nonsmooth Convex Optimization

Handheld reflectance acquisition of paintings

MATHICSE Technical Report : Riemannian optimization for high-dimensional tensor completion

Identification of Rational Transfer Functions from Sampled Data

Shapes from Pixels

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

Sampling theorems and compressive sensing on the sphere

Riemannian Optimization For High-Dimensional Tensor Completion