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A remark on global positioning from local distances

By Amit Singer


Finding the global positioning of points in Euclidean space from a local or partial set of pairwise distances is a problem in geometry that emerges naturally in sensor networks and NMR spectroscopy of proteins. We observe that the eigenvectors of a certain sparse matrix exactly match the sought coordinates. This translates to a simple and efficient algorithm that is robust to noisy distance data

Topics: Physical Sciences
Publisher: National Academy of Sciences
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Provided by: PubMed Central
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