Computation of Symmetry Measures for Polygonal Shapes

  • Stanislav Sheynin
  • Alexander Tuzikov
  • Denis Volgin
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1689)


In this paper we propose effcient algorithms for computation of symmetry degree (measure of symmetry) for polygonal shapes. The algorithms are based on turning function representation and the approach developed in [1] for comparing polygonal shapes. These algorithms allow computation of reflection and rotation symmetry measures which are invariant to translations, rotations and scaling of shapes. Using normalization technique we show how it is possible to apply them for computation of skew symmetry measures as well.


symmetry measures polygons 


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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Stanislav Sheynin
    • 1
  • Alexander Tuzikov
    • 1
  • Denis Volgin
    • 1
  1. 1.Institute of Engineering CyberneticsAcademy of Sciences of Republic BelarusMinsk, BelarusGermany

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