Publications associées à Sampling Curves with Finite Rate of Innovation

Attributing Aliasing Artifacts in Dirty Intensity Fields to their Parent Source

Estimating intensity fields of stochastic phenomenons is of crucial interest in many scientific applications. Typical experimental setups involve an acquisition system, that subsequently filters and samples the probed intensity field. This equivalently def ...

2016

An Inner-Product Calculus for Periodic Functions and Curves

Michaël Unser, Daniel Andreas Schmitter, Anaïs Laure Marie-Thérèse Badoual

Our motivation is the design of efficient algorithms to process closed curves represented by basis functions or wavelets. To that end, we introduce an inner-product calculus to evaluate correlations and

L _{ 2 }

distances between such curves. In partic ...

2016

Fibre Products of Supersingular Curves and the Enumeration of Irreducible Polynomials with Prescribed Coefficients

Robert Granger

For any positive integers

n\geq 3, r\geq 1

we present formulae for the number of irreducible polynomials of degree

n

over the finite field

\mathbb{F}_{2^r}

where the coefficients of

x^{n-1}

,

x^{n-2}

and

x^{n-3}

are zero. Our proofs involve coun ...

Elsevier2016

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

Sampling Curves with Finite Rate of Innovation

Thierry Blu, Hanjie Pan, Pier Luigi Dragotti

In this paper, we extend the theory of sampling signals with finite rate of innovation (FRI) to a specific class of two-dimensional curves, which are defined implicitly as the zeros of a mask function. Here the mask function has a parametric representation ...

Institute of Electrical and Electronics Engineers2014

Snakes with Tangent-Based Control and Energies for Bioimage Analysis

Michaël Unser, Ricard Delgado Gonzalo, Virginie Sophie Uhlmann

We propose a novel active contour for the analysis of filament-like structures and boundaries—features that traditional snakes based on closed curves have difficulties to delineate. Our method relies on a parametric representation of an open curve involvin ...

IEEE2014

Sampling High-Dimensional Bandlimited Fields on Low-Dimensional Manifolds

Martin Vetterli, Jayakrishnan Unnikrishnan

Consider the task of sampling and reconstructing a bandlimited spatial field in

\Re^2

using moving sensors that take measurements along their path. It is inexpensive to increase the sampling rate along the paths of the sensors but more expensive to incre ...

Institute of Electrical and Electronics Engineers2013

Solving a $6120$-bit DLP on a Desktop Computer

Robert Granger, Jens Markus Zumbrägel

In this paper we show how some recent ideas regarding the discrete logarithm problem (DLP) in finite fields of small characteristic may be applied to compute logarithms in some very large fields extremely efficiently. By combining the polynomial time relat ...

Springer Berlin Heidelberg2013

Intriguing aspects of lanthanide luminescence

Jean-Claude Bünzli, Svetlana Eliseeva

The enthralling properties of lanthanide luminescence have propelled luminescent probes, tags and materials based on these elements to the forefront of science and technology. In this minireview, attention is focused on the latest innovations and on less-k ...

Royal Soc Chemistry2013

On Sampling a High-Dimensional Bandlimited Field on a Union of Shifted Lattices

Martin Vetterli, Jayakrishnan Unnikrishnan

We study the problem of sampling a high-dimensional bandlimited field on a union of shifted lattices under certain assumptions motivated by some practical sampling applications. Under these assumptions, we show that simple necessary and sufficient conditio ...

Ieee2012

Sampling Curves with Finite Rate of Innovation

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Attributing Aliasing Artifacts in Dirty Intensity Fields to their Parent Source

An Inner-Product Calculus for Periodic Functions and Curves

Fibre Products of Supersingular Curves and the Enumeration of Irreducible Polynomials with Prescribed Coefficients

Shapes from Pixels

Sampling Curves with Finite Rate of Innovation

Snakes with Tangent-Based Control and Energies for Bioimage Analysis

Sampling High-Dimensional Bandlimited Fields on Low-Dimensional Manifolds

Solving a $6120$-bit DLP on a Desktop Computer

Intriguing aspects of lanthanide luminescence

On Sampling a High-Dimensional Bandlimited Field on a Union of Shifted Lattices

On Sampling a High-Dimensional Bandlimited Field on a Union of Shifted Lattices

Shapes from Pixels

An Inner-Product Calculus for Periodic Functions and Curves

Sampling Curves with Finite Rate of Innovation

Attributing Aliasing Artifacts in Dirty Intensity Fields to their Parent Source

Fibre Products of Supersingular Curves and the Enumeration of Irreducible Polynomials with Prescribed Coefficients

Intriguing aspects of lanthanide luminescence

Sampling High-Dimensional Bandlimited Fields on Low-Dimensional Manifolds

Snakes with Tangent-Based Control and Energies for Bioimage Analysis

Solving a $6120$-bit DLP on a Desktop Computer