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Distance-Driven Curve-Thinning on the Face-Centered Cubic Grid

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Discrete Geometry and Mathematical Morphology (DGMM 2022)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 13493))

Abstract

Centerline (curve skeleton) is a frequently used skeleton-like shape descriptor for 3D tubular objects. This paper proposes an endpoint-based sequential curve-thinning algorithm (i.e., an iterative object reduction technique to obtain the centerline) for binary objects sampled on the face-centered cubic (FCC) grid. In order to ensure the centeredness of the resulting centerline, the thinning process is driven by distance transform. The introduced method is evaluated on distance maps computed with various distance definitions (i.e., chamfer or Euclidean distance). To the best of our knowledge, the reported algorithm is the very first curve-thinning method for the FCC grid.

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Acknowledgements

Project no. TKP2021-NVA-09 has been implemented with the support provided by the Ministry of Innovation and Technology of Hungary from the National Research, Development and Innovation Fund, financed under the TKP2021-NVA funding scheme.

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Authors and Affiliations

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

    Gábor Karai

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  1. Gábor Karai
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Correspondence to Gábor Karai .

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Editors and Affiliations

  1. University of Strasbourg, Strasbourg, France

    Étienne Baudrier

  2. University of Strasbourg, Strasbourg, France

    Benoît Naegel

  3. University of Strasbourg, Strasbourg, France

    Adrien Krähenbühl

  4. University of Strasbourg, Strasbourg, France

    Mohamed Tajine

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Karai, G. (2022). Distance-Driven Curve-Thinning on the Face-Centered Cubic Grid. In: Baudrier, É., Naegel, B., Krähenbühl, A., Tajine, M. (eds) Discrete Geometry and Mathematical Morphology. DGMM 2022. Lecture Notes in Computer Science, vol 13493. Springer, Cham. https://doi.org/10.1007/978-3-031-19897-7_28

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  • DOI: https://doi.org/10.1007/978-3-031-19897-7_28

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-19896-0

  • Online ISBN: 978-3-031-19897-7

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