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arXiv · 1205.0349

Euclidean distance geometry and applications

Leo Liberti·Carlile Lavor·Nelson Maculan·Antonio Mucherino
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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.

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Leo Liberti, Carlile Lavor, Nelson Maculan, Antonio Mucherino. 2012-05-02. Euclidean distance geometry and applications. https://arxiv.org/abs/1205.0349

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