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Euclidean Distance Transform of Digital Images in Arbitrary Dimensions

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Advances in Multimedia Information Processing - PCM 2006 (PCM 2006)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 4261))

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Abstract

A new algorithm for Euclidean distance transform is proposed in this paper. It propagates from the boundary to the inner of object layer by layer, like the inverse propagation of water wave. It can be applied in every dimensional space and has linear time complexity. Euclidean distance transformations of digital images in 2-D and 3-D are conducted in the experiments. Voronoi diagram and Delaunay triangulation can also be produced by this method.

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Author information

Authors and Affiliations

  1. Key Laboratory of Intelligent Information Processing, Institute of Computing Technology, Chinese Academy of Sciences, Beijing, P.O. Box 2704, 100080, P.R. China

    Dong Xu & Hua Li

  2. Graduate University of Chinese Academy of Sciences,  

    Dong Xu

Authors
  1. Dong Xu
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  2. Hua Li
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Editor information

Editors and Affiliations

  1. College of Computer Science, Zhejiang University, China

    Yueting Zhuang

  2. Department of Computer Science and Technology, Tsinghua University, P.R. China

    Shi-Qiang Yang

  3. Microsoft Corporation, Microsoft China R&D Group, 49 Zhichun Road, 100080, Beijing, China

    Yong Rui

  4. College of Computer Science and Technology, Zhejiang University, 310027, Hangzhou, Zhejiang Province, China

    Qinming He

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© 2006 Springer-Verlag Berlin Heidelberg

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Xu, D., Li, H. (2006). Euclidean Distance Transform of Digital Images in Arbitrary Dimensions. In: Zhuang, Y., Yang, SQ., Rui, Y., He, Q. (eds) Advances in Multimedia Information Processing - PCM 2006. PCM 2006. Lecture Notes in Computer Science, vol 4261. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11922162_9

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  • DOI: https://doi.org/10.1007/11922162_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-48766-1

  • Online ISBN: 978-3-540-48769-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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