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Topology Preserving Parallel Smoothing for 3D Binary Images

  • Conference paper
Computational Modeling of Objects Represented in Images (CompIMAGE 2010)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 6026))

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Abstract

This paper presents a new algorithm for smoothing 3D binary images in a topology preserving way. Our algorithm is a reduction operator: some border points that are considered as extremities are removed. The proposed method is composed of two parallel reduction operators. We are to apply our smoothing algorithm as an iteration-by-iteration pruning for reducing the noise sensitivity of 3D parallel surface-thinning algorithms. An efficient implementation of our algorithm is sketched and its topological correctness for (26,6) pictures is proved.

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Author information

Authors and Affiliations

  1. Department of Image Processing and Computer Graphics, University of Szeged, Hungary

    Gábor Németh, Péter Kardos & Kálmán Palágyi

Authors
  1. Gábor Németh
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  2. Péter Kardos
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  3. Kálmán Palágyi
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Editor information

Editors and Affiliations

  1. Department of Computer Science, State University of New York at Fredonia, 14063, Fredonia, NY, USA

    Reneta P. Barneva

  2. Mathematics Department, SUNY Buffalo State College, 14222, Buffalo, NY, USA

    Valentin E. Brimkov

  3. Hauptman-Woodward Medical Research Institute, 700 Ellicott Street, 14203-110, Buffalo, NY, USA

    Herbert A. Hauptman

  4. University of Porto, Porto, Portugal

    Renato M. Natal Jorge

  5. Departamento de Engenharia Mecânica e Gestão Industrial, University of Porto, Rua Dr. Roberto Frias, 4200-465, Porto, Portugal

    João Manuel R. S. Tavares

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© 2010 Springer-Verlag Berlin Heidelberg

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Németh, G., Kardos, P., Palágyi, K. (2010). Topology Preserving Parallel Smoothing for 3D Binary Images. In: Barneva, R.P., Brimkov, V.E., Hauptman, H.A., Natal Jorge, R.M., Tavares, J.M.R.S. (eds) Computational Modeling of Objects Represented in Images. CompIMAGE 2010. Lecture Notes in Computer Science, vol 6026. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12712-0_26

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  • DOI: https://doi.org/10.1007/978-3-642-12712-0_26

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-12711-3

  • Online ISBN: 978-3-642-12712-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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