Publications related to Calibration by Correlation Using Metric Embedding from Nonmetric Similarities

Consistent Digital Line Segments

We introduce a novel and general approach for digitalization of line segments in the plane that satisfies a set of axioms naturally arising from Euclidean axioms. In particular, we show how to derive such a system of digital segments from any total order o ...

2012

Extended Uniform Distribution Accounting for Uncertainty of Uncertainty

Ian Smith, James-Alexandre Goulet

Increasingly, uncertainties are explicitly considered for important engineering tasks. Often, little case-specific information is available for characterizing these uncertainties. Uniform distributions are an easy way to describe errors in absence of more ...

ASCE2011

Coding in the Presence of Semantic Value of Information: Unequal Error Protection Using Poset Decoders

In this work we explore possibilities for coding when information worlds have different (semantic) values. We introduce a loss function that expresses the overall performance of a coding scheme for discrete channels and exchange the usual goal of minimizin ...

2011

Actions de relations d'équivalence sur les champs d'espaces métriques CAT(0)

Philippe Paul Antoine Henry

This work is dedicated to the study of Borel equivalence relations acting on Borel fields of CAT(0) metric spaces over a standard probability space. In this new framework we get similar results to some theorems proved recently by S. Adams-W. Ballmann or N. ...

EPFL2010

Differential geometry applied to crystallography

Philippe Kocian

The mathematical facet of modern crystallography is essentially based on analytical geometry, linear algebra as well as group theory. This study endeavours to approach the geometry and symmetry of crystals using the tools furnished by differential geometry ...

EPFL2009

Weak metrics on Euclidean domains

Marc Troyanov

A weak metric on a set is a function that satisfies the axioms of a metric except the symmetry and the separation axioms. The aim of this paper is to present some interesting weak metrics and to study some of their properties. In particular, we introduce a ...

2007

Laplacian Operator, Diffusion Flow and Active Contour on non-Euclidean Images

Jean-Philippe Thiran, Pierre Vandergheynst, Xavier Bresson, Iva Bogdanova Vandergheynst

We propose here some basic approaches to direct processing of the

360^o

-images as we take into consideration the geometry of each one. Obviously, the geometry of each of these images is a consequence of the geometry of the sensor's mirror used. This tech ...

2005

Planar arrangement of high-dimensional biomedical data sets by isomap coordinates

Daniel Thalmann, Sofiane Sarni, Pablo Stanislaw De Heras Ciechomski, Ik Soo Lim

This article addresses 2-dimensional layout of high-dimensional biomedical datasets, which is useful for browsing them efficiently We employ the isomap technique, which is based on classical MDS (multi-dimensional scaling) but seeks to preserve the intrins ...

IEEE2003

Planar arrangement of high-dimensional biomedical data sets by Isomap coordinates

Daniel Thalmann, Sofiane Sarni, Pablo Stanislaw De Heras Ciechomski, Ik Soo Lim

This article addresses 2-dimensional layout of high-dimensional biomedical datasets, which is useful for browsing them efficiently. We employ the Isomap technique, which is based on classical MDS (multi-dimensional scaling) but seeks to preserve the intrin ...

Institute of Electrical and Electronics Engineers Computer Society2003

Planar arrangement of high-dimensional biomedical data sets by isomap coordinates

Daniel Thalmann, Sofiane Sarni, Pablo Stanislaw De Heras Ciechomski

This article addresses 2-dimensional layout of high-dimensional biomedical datasets, which is useful for browsing them efficiently We employ the isomap technique, which is based on classical MDS (multi-dimensional scaling) but seeks to preserve the intrins ...

IEEE2003

Calibration by Correlation Using Metric Embedding from Nonmetric Similarities

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Consistent Digital Line Segments

Extended Uniform Distribution Accounting for Uncertainty of Uncertainty

Coding in the Presence of Semantic Value of Information: Unequal Error Protection Using Poset Decoders

Actions de relations d'équivalence sur les champs d'espaces métriques CAT(0)

Differential geometry applied to crystallography

Weak metrics on Euclidean domains

Laplacian Operator, Diffusion Flow and Active Contour on non-Euclidean Images

Planar arrangement of high-dimensional biomedical data sets by isomap coordinates

Planar arrangement of high-dimensional biomedical data sets by Isomap coordinates

Planar arrangement of high-dimensional biomedical data sets by isomap coordinates

Extended Uniform Distribution Accounting for Uncertainty of Uncertainty

Coding in the Presence of Semantic Value of Information: Unequal Error Protection Using Poset Decoders

Laplacian Operator, Diffusion Flow and Active Contour on non-Euclidean Images

Actions de relations d'équivalence sur les champs d'espaces métriques CAT(0)

Weak metrics on Euclidean domains

Differential geometry applied to crystallography

Planar arrangement of high-dimensional biomedical data sets by Isomap coordinates

Consistent Digital Line Segments

Planar arrangement of high-dimensional biomedical data sets by isomap coordinates

Planar arrangement of high-dimensional biomedical data sets by isomap coordinates