IWCIA 2015: Combinatorial Image Analysis pp 31-45 | Cite as

Equivalent Sequential and Parallel Subiteration-Based Surface-Thinning Algorithms

Conference paper
First Online:
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9448)

Abstract

Thinning is a frequently applied technique for extracting skeletons or medial surfaces from volumetric binary objects. It is an iterative object reduction: border points that satisfy certain topological and geometric constraints are deleted in a thinning phase. Sequential thinning algorithms may alter just one point at a time, while parallel algorithms can delete a set of border points simultaneously. Two thinning algorithms are said to be equivalent if they can produce the same result for each input binary picture. This work shows that it is possible to construct subiteration-based equivalent sequential and parallel surface-thinning algorithms. The proposed four pairs of algorithms can be implemented directly on a conventional sequential computer or on a parallel computing device. All of them preserve topology for (26, 6) pictures.

Keywords

Discrete geometry Discrete topology Skeletons Subiteration-based thinning Equivalent thinning algorithms 
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Notes

Acknowledgements

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

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Kálmán Palágyi
    • 1
  • Gábor Németh
    • 1
  • Péter Kardos
    • 1
  1. 1.Department of Image Processing and Computer GraphicsUniversity of SzegedSzegedHungary

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