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Innovations for Shape Analysis pp 77–92Cite as

Refined Homotopic Thinning Algorithms and Quality Measures for Skeletonisation Methods

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Part of the book series: Mathematics and Visualization ((MATHVISUAL))

Abstract

Topological skeletons are shape descriptors that have been applied successfully in practical applications. However, many skeletonisation methods lack accessibility, mainly due to the need for manual parameter adjustment and the shortage of tools for comparative analysis.In this paper we address these problems. We propose two new homotopy-preserving thinning algorithms: Flux-ordered adaptive thinning (FOAT) extends existing flux-based thinning methods by a robust automatic parameter adjustment, maximal disc thinning (MDT) combines maximal disc detection on Euclidean distance maps with homotopic thinning. Moreover, we propose distinct quality measures that allow to analyse the properties of skeletonisation algorithms. Tests of the new algorithms and quality assessment tools are conducted on the widely used shape database CE-Shape-1.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, Mathematical Image Analysis Group, Saarland University, Campus E1.1, 66041, Saarbrücken, Germany

    Pascal Peter & Michael Breuß

  2. Applied Mathematics and Computer Vision Group, BTU Cottbus, Platz der Deutschen Einheit 1, HG 2.51, 03046, Cottbus, Germany

    Michael Breuß

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  1. Pascal Peter
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  2. Michael Breuß
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Correspondence to Pascal Peter .

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Editors and Affiliations

  1. , Inst. for Appl. Math.&Scient.Comp., Brandenburg Technical University, Platz der Deutschen Einheit 1, Cottbus, 03046, Germany

    Michael Breuß

  2. Department of Computer Science, Technion-Israel Institute of Technology, Haifa, 32000, Israel

    Alfred Bruckstein

  3. School of Electrical &, Computer Engineering, National Technical University of Athens, Athens, 15773, Greece

    Petros Maragos

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Peter, P., Breuß, M. (2013). Refined Homotopic Thinning Algorithms and Quality Measures for Skeletonisation Methods. In: Breuß, M., Bruckstein, A., Maragos, P. (eds) Innovations for Shape Analysis. Mathematics and Visualization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34141-0_4

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