Connectivity of projected high dimensional data charts on one-dimensional curves

We propose a principal curve tracing algorithm, which uses the gradient and the Hessian of a given density estimate. Curve definition requires the local smoothness of data density and is based on the concept of subspace local maxima. Tracing of the curve is handled through the leading eigenvector wh...

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Bibliographic Details
Published in:	Signal processing Vol. 91; no. 10; pp. 2404 - 2409
Main Authors:	Bas, E., Erdogmus, D.
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier B.V 01.10.2011 Elsevier
Subjects:	Applied sciences Connectivity analysis Detection, estimation, filtering, equalization, prediction Exact sciences and technology Image processing Information, signal and communications theory Principal curves Signal and communications theory Signal processing Signal, noise Telecommunications and information theory Topological skeleton Connectivity analysis Principal curves Topological skeleton Performance evaluation Image processing Eigenvector Subspace method Updating Algorithm Image segmentation One dimensional model Signal processing Connectedness Skeleton
ISSN:	0165-1684, 1872-7557
Online Access:	Get full text
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