Euclidean Distance Geometry and Applications

Abstract : Euclidean distance geometry is the study of Euclidean geometry based on the concept of distance. This is useful in several applications where the input data consists of an incomplete set of distances, and the output is a set of points in Euclidean space that realizes the given distances. We survey some of the theory of Euclidean distance geometry and some of the most important applications: molecular conformation, localization of sensor networks and statics.
Type de document :
Article dans une revue
SIAM Review, Society for Industrial and Applied Mathematics, 2014, 56 (1), pp.3-69. 〈http://epubs.siam.org/doi/abs/10.1137/120875909〉
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https://hal.inria.fr/hal-01093056
Contributeur : Antonio Mucherino <>
Soumis le : mercredi 10 décembre 2014 - 09:42:15
Dernière modification le : jeudi 15 novembre 2018 - 11:57:53

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  • HAL Id : hal-01093056, version 1

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Leo Liberti, Carlile Lavor, Nelson Maculan, Antonio Mucherino. Euclidean Distance Geometry and Applications. SIAM Review, Society for Industrial and Applied Mathematics, 2014, 56 (1), pp.3-69. 〈http://epubs.siam.org/doi/abs/10.1137/120875909〉. 〈hal-01093056〉

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