Concept

Distance (mathématiques)

Publications associées (220)

Harmonic symmetrization of convex sets and of Finsler structures, with applications to Hilbert geometry

David Hilbert discovered in 1895 an important metric that is canonically associated to any convex domain

\Omega

in the Euclidean (or projective) space. This metric is known to be Finslerian, and the usual proof assumes a certain degree of smoothness of t ...

2009

Weak Finsler structures and the Funk weak metric

Marc Troyanov

We discuss general notions of metrics and of Finsler structures which we call weak metrics and weak Finsler structures. Any convex domain carries a canonical weak Finsler structure, which we call its tautological weak Finsler structure. We compute distance ...

Cambridge University Press2009

A Kernel Wrapper for Phoneme Sequence Recognition

We describe a kernel wrapper, a Mercer kernel for the task of phoneme sequence recognition which is based on operations with the Gaussian kernel, and suitable for any sequence kernel classifier. We start by presenting a kernel-based algorithm for phoneme s ...

John Wiley and Sons2009

Molecular dynamics simulation of radiation damage in bcc tungsten

Robin Schäublin

Molecular dynamics simulations of collision cascades in pure tungsten are performed to assess the primary damage due to irradiation. For short-range interaction the universal potential is used [J.F. Ziegler, J.P. Biersack, U. Littmark, The Stopping and Ran ...

Elsevier2009

The scale axis transform

Mark Pauly

We introduce the scale axis transform, a new skeletal shape representation for bounded open sets O ⊂ &Rdbl;d. The scale axis transform induces a family of skeletons that captures the important features of a shape in a scale-adaptive way and ...

2009

Graph signature for self-reconfiguration planning of modules with symmetry

Auke Ijspeert, Milad Shafiee Ashtiani, Masoud Asadpour

In our previous works we had developed a framework for self-reconfiguration planning based on graph signature and graph edit-distance. The graph signature is a fast isomorphism test between different configurations and the graph edit-distance is a similari ...

2009

Segmentation of head and neck lymph node regions for radiotherapy planning, using active contour based atlas registration

Jean-Philippe Thiran, Meritxell Bach Cuadra, Valérie Duay, Subrahmanyam Venkata Ravi Mohana Sai Gorthi, Nawal Houhou

In this paper, we present the segmentation of the head and neck lymph node regions using a new active contour based atlas registration model. We propose to segment the lymph node regions without directly including them in the atlas registration process; in ...

2009

Parametric B-Spline Snakes on Distance Maps—Application to Segmentation of Histology Images

Michaël Unser, Philippe Thévenaz, François Aguet, Chandra Sekhar Seelamantula

We construct parametric active contours (snakes) for outlining cells in histology images. These snakes are defined in terms of cubic B-spline basis functions. We use a steerable ridge detector for obtaining a reliable map of the cell boundaries. Using the ...

EURASIP2008

Using Comparison of Parallel Phoneme Probability streams for OOV Word Detection

Mathew Magimai Doss, Hynek Hermansky, Tamara Tosic

In this paper, we investigate the approach of comparing two different parallel streams of phoneme posterior probability estimates for OOV word detection. The ﬁrst phoneme posterior probability stream is estimated using only the knowledge of short-term acou ...

2008

Non-metric coordinates for predicting network proximity

Dan-Cristian Tomozei

We consider the problem of determining the “closest”, or best Internet host to connect to, from a list of candidate servers. Most existing approaches rely on the use of metric, or more specifically Euclidean coordinates to infer network proximity. This is ...

IEEE2008

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Harmonic symmetrization of convex sets and of Finsler structures, with applications to Hilbert geometry

Marc Troyanov

David Hilbert discovered in 1895 an important metric that is canonically associated to any convex domain

\Omega

in the Euclidean (or projective) space. This metric is known to be Finslerian, and the usual proof assumes a certain degree of smoothness of t ...

2009