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Type: Conference paper
Title: Multiscale covariance fields, local scales, and shape transforms
Author: Martinez, Diego H. Diaz
Memoli, Facundo
Mio, Washington
Citation: Lecture Notes in Computer Science, 2013 / F. Nielsen, F. Barbaresco (eds.), pp.794-801
Publisher: Springer
Issue Date: 2013
ISSN: 0302-9743
Conference Name: International SEE Conference on Geometric Science of Information (1st : 2013 : Paris)
School/Discipline: School of Computer Science
Statement of
Diego H. Diaz Martinez, Facundo Mémoli, and Washington Mio
Abstract: We introduce the notion of multiscale covariance tensor fields associated with a probability measure on Euclidean space and use these fields to define local scales at a point and to construct shape transforms. Local scales at x may be interpreted as scales at which key geometric features of the data organization around x are revealed. Shape transforms are employed to identify points that are most salient in terms of the local-global shape of a probability distribution, yielding a compact summary of the geometry of the distribution.
Keywords: covariance fields; local scales; shape features; shape transforms
Rights: © Springer-Verlag Berlin Heidelberg 2013
RMID: 0020131864
DOI: 10.1007/978-3-642-40020-9_89
Appears in Collections:Computer Science publications

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