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Deletion Rules for Equivalent Sequential and Parallel Reductions

  • Kálmán Palágyi
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8258)

Abstract

A reduction operator transforms a binary picture only by changing some black points to white ones, which is referred to as deletion. Sequential reductions may delete just one point at a time, while parallel reductions can alter a set of points simultaneously. Two reductions are called equivalent if they produce the same result for each input picture. This work lays a bridge between the parallel and the sequential strategies. A class of deletion rules are proposed that provide 2D parallel reductions being equivalent to sequential reductions. Some new sufficient conditions for topology-preserving parallel reductions are also reported.

Keywords

Discrete Geometry Digital Topology Topology-Preserving Reductions 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Kálmán Palágyi
    • 1
  1. 1.Department of Image Processing and Computer GraphicsUniversity of SzegedHungary

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