Visual Form pp 303-312 | Cite as

Determining the Symmetry of Polyhedra

  • X. Y. Jiang
  • H. Bunke

Abstract

In this paper we present an algorithm for determining the rotational symmetries of polyhedral objects in O(m(n + m + h)) time and O(n + m + h) space where n, m and h represent the number of vertices, edges and faces of the object, respectively. In the case of objects consisting of c disjoint components the time complexity increases to O(m(cn + m + h)). The symmetry information detected by our algorithm can be utilized for various purposes in artificial intelligence, such as robotics, assembly planning and machine vision.

Keywords

Rotational Symmetry Bijective Mapping Initial Vertex Neighboring Vertex Neighbor List 
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 Science+Business Media New York 1992

Authors and Affiliations

  • X. Y. Jiang
    • 1
  • H. Bunke
    • 1
  1. 1.Institute of Informatics and Applied MathematicsUniversity of BernBernSwitzerland

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