Publications related to Exact Computation of Area Moments for Spline and Wavelet Curves

When Stuck, Flip a Coin

Many modern services need to routinely perform tasks on a large scale. This prompts us to consider the following question: How can we design efficient algorithms for large-scale computation? In this thesis, we focus on devising a general strategy to addr ...

EPFL2018

State Machine Replication is More Expensive than Consensus

Rachid Guerraoui, Dragos-Adrian Seredinschi, Karolos Antoniadis

Consensus and State Machine Replication (SMR) are generally considered to be equivalent problems. In certain system models, indeed, the two problems are computationally equivalent: any solution to the former problem leads to a solution to the latter, and v ...

2018

Multiresolution Subdivision Snakes

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

We present a new family of snakes that satisfy the property of multiresolution by exploiting subdivision schemes. We show in a generic way how to construct such snakes based on an admissible subdivision mask. We derive the necessary energy formulations and ...

2017

Computation of a 768-Bit Prime Field Discrete Logarithm

Arjen Lenstra, Thorsten Kleinjung

This paper reports on the number field sieve computation of a 768-bit prime field discrete logarithm, describes the different parameter optimizations and resulting algorithmic changes compared to the factorization of a 768-bit RSA modulus, and briefly disc ...

Springer International Publishing Ag2017

Computational Aspects of Jacobians of Hyperelliptic Curves

Alina Dudeanu

Nowadays, one area of research in cryptanalysis is solving the Discrete Logarithm Problem (DLP) in finite groups whose group representation is not yet exploited. For such groups, the best one can do is using a generic method to attack the DLP, the fastest ...

EPFL2016

Firedec: a two-channel finite-resolution image deconvolution algorithm

Frédéric Courbin, Pascale Jablonka, Georges Meylan, Malte Tewes, Nicolas Cantale

We present a two-channel deconvolution method that decomposes images into a parametric point-source channel and a pixelized extended-source channel. Based on the central idea of the deconvolution algorithm proposed by Magain et al. (1998, ApJ, 494, 472), t ...

Edp Sciences S A2016

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

Similarity-Based Shape Priors for 2D Spline Snakes

Michaël Unser, Daniel Andreas Schmitter

We present a new formulation of a shape space containing all continuously defined 2D spline curves up to a similarity transform of a reference shape. We are able to measure a distance between an arbitrary curve and the shape space itself. Our contribution ...

IEEE2015

Extremal behavior of squared Bessel processes attracted by the Brown-Resnick process

Sebastian Engelke

The convergence of properly time-scaled and normalized maxima of independent standard Brownian motions to the Brown-Resnick process is well-known in the literature. In this paper, we study the extremal functional behavior of non-Gaussian processes, namely ...

Elsevier Science Bv2015

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

Exact Computation of Area Moments for Spline and Wavelet Curves

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When Stuck, Flip a Coin

State Machine Replication is More Expensive than Consensus

Multiresolution Subdivision Snakes

Computation of a 768-Bit Prime Field Discrete Logarithm

Computational Aspects of Jacobians of Hyperelliptic Curves

Firedec: a two-channel finite-resolution image deconvolution algorithm

An Inner-Product Calculus for Periodic Functions and Curves

Similarity-Based Shape Priors for 2D Spline Snakes

Extremal behavior of squared Bessel processes attracted by the Brown-Resnick process

Snakes with Tangent-Based Control and Energies for Bioimage Analysis

When Stuck, Flip a Coin

Snakes with Tangent-Based Control and Energies for Bioimage Analysis

Computational Aspects of Jacobians of Hyperelliptic Curves

Similarity-Based Shape Priors for 2D Spline Snakes

Extremal behavior of squared Bessel processes attracted by the Brown-Resnick process

Firedec: a two-channel finite-resolution image deconvolution algorithm

An Inner-Product Calculus for Periodic Functions and Curves

State Machine Replication is More Expensive than Consensus

Multiresolution Subdivision Snakes

Computation of a 768-Bit Prime Field Discrete Logarithm