Medial set, boundary, and topology of random point sets

Authors:
A. Imiya;H. Ootani;K. Tatara
Affiliations:
National Institute of Informatics, Japan and Institute of Media and Information Technology, Chiba University, Japan;School of Science and Technology, Chiba University, Japan;School of Science and Technology, Chiba University, Japan
Venue:
Proceedings of the 11th international conference on Theoretical foundations of computer vision
Year:
2002

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Abstract

In this paper, we aim to develop an algorithm for the extraction of a medial set of a random point set in two-an d three-dimensional spaces. Using the medial set of a random point, we define the topology of a random point set. The algorithm for the extraction of a median set is based on the principal surface analysis.