Publications related to Snakes With an Ellipse-Reproducing Property

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

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

On the Richter-Thomassen Conjecture about Pairwise Intersecting Closed Curves

János Pach, Gábor Tardos

A long-standing conjecture of Richter and Thomassen states that the total number of intersection points between any n simple closed Jordan curves in the plane, so that any pair of them intersect and no three curves pass through the same point, is at least ...

Cambridge Univ Press2016

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

A mixed standard/custom design strategy to minimize cost and maximize efficiency for picohydro power potential harvesting

François Avellan, Elena Vagnoni, Cécile Münch-Alligné, Loïc Andolfatto

Harvesting the numerous small scale hydroelectric potential is a way to increase the sustainable hydraulic energy production in developed countries. The condition to meet economical profitability with pico power stations - below 25 kW - is to minimize the ...

2015

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

Cell OEE: Extract the OEE killing combinations

The Overall Equipment Effectiveness (OEE) is a measure of a production system efficiency. OEE combines the Availability, Performance and Quality to an appreciated metric to qualify production systems. The Mikron assembly lines are constituted of multiple s ...

2015

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

Constructing reparameterization invariant metrics on spaces of plane curves

Martins Bruveris, Martin Bauer

Metrics on shape spaces are used to describe deformations that take one shape to another, and to define a distance between shapes. We study a family of metrics on the space of curves, which includes several recently proposed metrics, for which the metrics ...

Elsevier2014

Weight and Efficiency Optimized DC/DC Converter Based on Multiple Interleaved Channels

Alfred Rufer, Yannick Louvrier

Today, energy saving is one of the main objectives for engineers. In the case of mobile applications, energy can be saved by two different ways: decreasing the total masse of the system and increasing the efficiency of the overall system. This paper presen ...

2012

Snakes With an Ellipse-Reproducing Property

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Multiresolution Subdivision Snakes

An Inner-Product Calculus for Periodic Functions and Curves

On the Richter-Thomassen Conjecture about Pairwise Intersecting Closed Curves

Computational Aspects of Jacobians of Hyperelliptic Curves

A mixed standard/custom design strategy to minimize cost and maximize efficiency for picohydro power potential harvesting

Similarity-Based Shape Priors for 2D Spline Snakes

Cell OEE: Extract the OEE killing combinations

Snakes with Tangent-Based Control and Energies for Bioimage Analysis

Constructing reparameterization invariant metrics on spaces of plane curves

Weight and Efficiency Optimized DC/DC Converter Based on Multiple Interleaved Channels

On the Richter-Thomassen Conjecture about Pairwise Intersecting Closed Curves

Similarity-Based Shape Priors for 2D Spline Snakes

Computational Aspects of Jacobians of Hyperelliptic Curves

Constructing reparameterization invariant metrics on spaces of plane curves

Weight and Efficiency Optimized DC/DC Converter Based on Multiple Interleaved Channels

Multiresolution Subdivision Snakes

Cell OEE: Extract the OEE killing combinations

A mixed standard/custom design strategy to minimize cost and maximize efficiency for picohydro power potential harvesting

An Inner-Product Calculus for Periodic Functions and Curves

Snakes with Tangent-Based Control and Energies for Bioimage Analysis