Unified Characterization of P-Simple Points in Triangular, Square, and Hexagonal Grids

  • Péter Kardos
  • Kálmán PalágyiEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10149)


Topology preservation is a crucial property of topological algorithms working on binary pictures. Bertrand introduced the notion of P-simple points on the orthogonal grids, which provides a sufficient condition for topology-preserving reductions. This paper presents both formal and easily visualized characterizations of P-simple points in all the three types of regular 2D grids.


Digital topology Regular 2D grids Topology preservation P-simple points 



This work was supported by the grant OTKA K112998 of the National Scientific Research Fund.


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Authors and Affiliations

  1. 1.Department of Image Processing and Computer GraphicsUniversity of SzegedSzegedHungary

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