Medial Set, Boundary, and Topology of Random Point Sets

  • A. Imiya
  • H. Ootani
  • K. Tatara
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2616)


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.


Point Cloud Principal Curve Random Point Initial Shape Initial Curve 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • A. Imiya
    • 1
    • 2
  • H. Ootani
    • 3
  • K. Tatara
    • 3
  1. 1.National Institute of InformaticsJapan
  2. 2.Institute of Media and Information TechnologyChiba UniversityJapan
  3. 3.School of Science and TechnologyChiba UniversityJapan

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