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|Title:||Multiscale covariance fields, local scales, and shape transforms|
|Author:||Martinez, Diego H. Diaz|
|Citation:||Lecture Notes in Computer Science, 2013 / F. Nielsen, F. Barbaresco (eds.), pp.794-801|
|Conference Name:||International SEE Conference on Geometric Science of Information (1st : 2013 : Paris)|
|School/Discipline:||School of Computer Science|
|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|
|Appears in Collections:||Computer Science publications|
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