Publications related to Direct measurement of drainage curves in infiltration of SiC particle preforms

Generating Calligraphic Trajectories with Model Predictive Control

We describe a methodology for the interactive definition of curves and motion paths using a stochastic formulation of optimal control. We demonstrate how the same optimization framework can be used in different ways to generate curves and traces that are g ...

2017

Distinct Distances on Algebraic Curves in the Plane

János Pach, Frank de Zeeuw

Let S be a set of n points in R-2 contained in an algebraic curve C of degree d. We prove that the number of distinct distances determined by S is at least c(d)n(4/3), unless C contains a line or a circle. We also prove the lower bound c(d)' min{m(2/3)n(2/ ...

Cambridge Univ Press2017

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

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

Few distinct distances implies no heavy lines or circles

Frank de Zeeuw

We study the structure of planar point sets that determine a small number of distinct distances. Specifically, we show that if a set of n points determines o(n) distinct distances, then no line contains Omega(n (7/8)) points of and no circle contains Omega ...

Springer Heidelberg2016

Influence of the wetting angle on capillary forces in pressure infiltration

Andreas Mortensen, Ludger Weber, Alain Léger

This work probes the influence of wetting on pressure infiltration. Pressure/saturation curves for the infiltration of packed F1000 angular alumina particle preforms by liquid Cu-Al and Sn-Al alloys are measured using an instrumented high-temperature press ...

Elsevier2015

Influence of temperature and wetting angle on capillarity in pressure infiltration

Andreas Mortensen, Ludger Weber, Alain Léger, William Craig Carter, Gionata Schneider

Capillary forces in the pressure infiltration process can be quantified by measuring saturation curves; these are plots of the fraction pore space filled with the liquid infiltrant versus the pressure difference between the liquid and the atmosphere initia ...

2015

Capillarity in pressure infiltration: influence of percolation and wetting angle

Andreas Mortensen, Ludger Weber, Alain Léger, William Craig Carter, Gionata Schneider

Composite materials are often produced by pressure-infiltration of a liquid matrix into a preform of packed solid fibers or particles. Capillary forces that intervene in this process are quantified by measuring saturation curves, which are plots of the fra ...

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

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

Direct measurement of drainage curves in infiltration of SiC particle preforms

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Generating Calligraphic Trajectories with Model Predictive Control

Distinct Distances on Algebraic Curves in the Plane

An Inner-Product Calculus for Periodic Functions and Curves

Computational Aspects of Jacobians of Hyperelliptic Curves

Few distinct distances implies no heavy lines or circles

Influence of the wetting angle on capillary forces in pressure infiltration

Influence of temperature and wetting angle on capillarity in pressure infiltration

Capillarity in pressure infiltration: influence of percolation and wetting angle

Similarity-Based Shape Priors for 2D Spline Snakes

Constructing reparameterization invariant metrics on spaces of plane curves

Generating Calligraphic Trajectories with Model Predictive Control

An Inner-Product Calculus for Periodic Functions and Curves

Computational Aspects of Jacobians of Hyperelliptic Curves

Few distinct distances implies no heavy lines or circles

Influence of the wetting angle on capillary forces in pressure infiltration

Similarity-Based Shape Priors for 2D Spline Snakes

Influence of temperature and wetting angle on capillarity in pressure infiltration

Capillarity in pressure infiltration: influence of percolation and wetting angle

Distinct Distances on Algebraic Curves in the Plane

Constructing reparameterization invariant metrics on spaces of plane curves