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Skeletons of 3D Shapes

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Book cover Scale Space and PDE Methods in Computer Vision (Scale-Space 2005)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 3459))

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Abstract

A new method for determining skeletons of 3D shapes is described. It is a combination of the approach based on the “grass-fire” technique and Zhu’s approach based on first finding portions of the shape where its width is approximately constant. The method specifically does not require presmoothing of the shape and is robust in the presence of noise. In an appendix, a method based on variational calculus is formulated for determining pruned, smoothed shape skeletons by minimizing a functional.

This work was supported by NIH Grant I-R01-NS34189-08.

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Author information

Authors and Affiliations

  1. Mathematics Department, Northeastern University, Boston, MA

    Jayant Shah

Authors
  1. Jayant Shah
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Editor information

Editors and Affiliations

  1. Dept. of Computer Science, Technion – Israel Institute of Technology, 32000, Haifa, Israel

    Ron Kimmel

  2. School of Mathematical Sciences, Tel Aviv University, 69978, Tel Aviv, Israel

    Nir A. Sochen

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

    Joachim Weickert

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© 2005 Springer-Verlag Berlin Heidelberg

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Shah, J. (2005). Skeletons of 3D Shapes. In: Kimmel, R., Sochen, N.A., Weickert, J. (eds) Scale Space and PDE Methods in Computer Vision. Scale-Space 2005. Lecture Notes in Computer Science, vol 3459. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11408031_29

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  • DOI: https://doi.org/10.1007/11408031_29

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25547-5

  • Online ISBN: 978-3-540-32012-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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