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A Pseudo-Metric for Weighted Point Sets

By Panos Giannopoulos and Remco C. Veltkamp

Abstract

We present a pseudo-metric for weighted point sets. There are numerous situations, for example in the shape description domain, where the individual points in a feature point set have an associated attribute, a weight. A distance function that incorporates this extra information apart from the points' position can be very useful for matching and retrieval purposes. There are two main approaches to do this. One approach is to interpret the point sets as fuzzy sets. However, a distance measure for fuzzy sets that is a metric, invariant under rigid motion and respects scaling of the underlying ground distance, does not exist. In addition

Topics: pseudo-metric, weighted point set, shape recognition, indexing, triangle inequality
Publisher: Springer-Verlag
Year: 2002
OAI identifier: oai:CiteSeerX.psu:10.1.1.19.3929
Provided by: CiteSeerX
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