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Fast Algorithm for Order Independent Binary Homotopic Thinning

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Adaptive and Natural Computing Algorithms (ICANNGA 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4432))

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Abstract

In this paper an efficient queue-based algorithm for order independent homotopic thinning is proposed. This generic algorithm can be applied to various thinning versions: homotopic marking, anchored skeletonisation, and the computation of the skeleton of influence zones based on local pixel characterisations. An example application of the proposed method to detect the medial axis of wide river networks from satellite imagery is also presented.

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References

  1. Iwanowski, M., Soille, P.: Order independence in binary 2D homotopic thinning. In: Kuba, A., Nyúl, L.G., Palágyi, K. (eds.) DGCI 2006. LNCS, vol. 4245, pp. 592–604. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  2. Rosenfeld, A.: Connectivity in digital pictures. Journal of the ACM 17(1), 146–160 (1970)

    Article  MATH  MathSciNet  Google Scholar 

  3. Kong, T., Rosenfeld, A.: Digital topology: Introduction and survey. Computer Vision, Graphics, and Image Processing 48, 357–393 (1989)

    Article  Google Scholar 

  4. Kong, T.: On topology preservation in 2-D and 3-D thinning. International Journal of Pattern Recognition and Artificial Intelligence 9(5), 813–844 (1995)

    Article  Google Scholar 

  5. Serra, J.: Image analysis and mathematical morphology. Academic Press, London (1982)

    MATH  Google Scholar 

  6. Soille, P.: Morphological Image Analysis: Principles and Applications (corrected 2nd printing of the 2nd edn.). Springer, Berlin (2004)

    Google Scholar 

  7. Ranwez, V., Soille, P.: Order independent homotopic thinning for binary and grey tone anchored skeletons. Pattern Recognition Letters 23(6), 687–702 (2002)

    Article  MATH  Google Scholar 

  8. Ronse, C.: Minimal test patterns for connectivity preservation in parallel thinning algorithms for binary digital images. Discrete Applied Mathematics 21, 67–79 (1988)

    Article  MATH  MathSciNet  Google Scholar 

  9. Serra, J.: Image analysis and mathematical morphology. Volume 2: Theoretical advances. Academic Press, London (1988)

    Google Scholar 

  10. Couprie, M., Bertrand, G.: Tesselations by connection. Pattern Recognition Letters 23, 637–647 (2002)

    Article  MATH  Google Scholar 

  11. Vincent, L.: Efficient computation of various types of skeletons. In: Loew, M. (ed.) Medical Imaging V: Image Processing. Proc. SPIE, vol. 1445, pp. 297–311 (1991)

    Google Scholar 

  12. Davies, E., Plummer, A.: Thinning algorithms: a critique and a new methodology. Pattern Recognition 14, 53–63 (1981)

    Article  MathSciNet  Google Scholar 

  13. Pudney, C.: Distance-ordered homotopic thinning: a skeletonization algorithm for 3D digital images. Computer Vision and Image Understanding 72(3), 404–413 (1998)

    Article  Google Scholar 

  14. Ranwez, V., Soille, P.: Order independent homotopic thinning. In: Bertrand, G., Couprie, M., Perroton, L. (eds.) DGCI 1999. LNCS, vol. 1568, pp. 337–346. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  15. Rosenfeld, A., Pfaltz, J.: Distance functions on digital pictures. Pattern Recognition 1, 33–61 (1968)

    Article  MathSciNet  Google Scholar 

  16. Danielsson, P.-E.: Euclidean distance mapping. Computer Graphics and Image Processing 14, 227–248 (1980)

    Article  Google Scholar 

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Bartlomiej Beliczynski Andrzej Dzielinski Marcin Iwanowski Bernardete Ribeiro

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Iwanowski, M., Soille, P. (2007). Fast Algorithm for Order Independent Binary Homotopic Thinning. In: Beliczynski, B., Dzielinski, A., Iwanowski, M., Ribeiro, B. (eds) Adaptive and Natural Computing Algorithms. ICANNGA 2007. Lecture Notes in Computer Science, vol 4432. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71629-7_68

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  • DOI: https://doi.org/10.1007/978-3-540-71629-7_68

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-71590-0

  • Online ISBN: 978-3-540-71629-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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