BINARY IMAGE SKELETON - Continuous Approach

Leonid Mestetskiy, Andrey Semenov



In this paper we propose a building technique of a correct model of continuous skeleton for discrete binary image. Our approach is based on approximation of each connected object in an image by a polygonal figure. Figure boundary consists of closed paths of minimal perimeter which separate points of foreground and background. Figure skeleton is constructed as a locus of centers of maximal inscribed circles. In order to build a so-called skeletal base from figure skeleton, we cut unnecessary noise from it. It is shown, that the constructed continuous skeleton exists and is unique for each binary image. This continuous skeleton has the following advantages: it has a strict mathematical description, it is stable to noise, and it also has broad capabilities of form transformations and shape comparison of objects. The proposed approach gives a substantial advantage in the speed of skeleton construction in comparison with various discrete methods, including those in which parallel calculations are used. This advantage is demonstrated on real images of big size.


  1. Bai, X., Latecki, L.J., Liu, W.-Y, 2007. Skeleton pruning by contour partitioning with discrete curve evolution. IEEE transactions on pattern analysis and machine intelligence, vol. 29, No. 3, March 2007.
  2. Blum, H., 1967. A transformation for extracting new descriptors of shape. In Proc. Symposium Models for the perception of speech and visual form, MIT Press Cambridge MA, 1967.
  3. Costa, L., Cesar, R., 2001. Shape analysis and classification, CRC Press.
  4. Deng, W., Iyengar, S., Brener, N., 2000. A fast parallel thinning algorithm for the binary image skeletonization. The International Journal of High Performance Computing Applications, 14, No. 1, Spring 2000, pp. 65-81.
  5. Fortune S., 1987. A sweepline algorithm for Voronoi diagrams. Algorithmica, 2 (1987), pp. 153-174.
  6. Klein, R., Lingas, A., 1995. Fast skeleton construction. In Proc. 3rd Europ. Symp. on Alg. (ESA'95), 1995.
  7. Lagno, D., Sobolev, A., 2001. ???????????????? ????????? ??????? ? ?? ???????????? ????????????? ??????. In Graphicon'2001, International Conference on computer graphics, Moscow, 2001 (in Russian).
  8. Lee, D., 1982. Medial axis transformation of a planar shape. IEEE Trans. Pat. Anal. Mach. Int. PAMI-4(4): 363-369, 1982.
  9. Manzanera, A., Bernard, T., Preteux, F., Longuet, B., 1999. Ultra-fast skeleton based on an isotropic fully parallel algorithm. Proc. of Discrete Geometry for Computer Imagery, 1999.
  10. Mestetskiy, L., 1998. Continuous skeleton of binary raster bitmap. In Graphicon'98, International Conference on computer graphics, Moscow, 1998 (in Russian).
  11. Mestetskiy, L., 2000. Fat curves and representation of planar figures. Computers & Graphics, vol.24, No. 1, 2000, pp.9-21.
  12. Mestetskiy, L., 2006. Skeletonization of a multiply connected polygonal domain based on its boundary adjacent tree. In Siberian journal of numerical mathematics, vol.9, N 3, 2006, 299-314, (in Russian).
  13. Ogniewicz, R., Kubler, O., 1995. Hierarchic Voronoi Skeletons. Pattern Recognition, vol. 28, no. 3, pp. 343-359, 1995.
  14. Smith R., 1987. Computer processing of line images: A survey. Pattern recognition, vol. 20, no.1, pp.7-15, 1987.
  15. Srinivasan, V., Nackman, L., Tang, J., Meshkat, S., 1992. Automatic mesh generation using the symmetric axis transform of polygonal domains, Proc. of the IEEE, 80 (9) (1992), pp. 1485-1501.
  16. Strzodka, R., Telea, A., 2004. Generalized Distance Transforms and Skeletons in Graphics Hardware. Joint EUROGRAPHICS - IEEE TCVG Symposium on Visualization (2004).
  17. Yap C., 1987. An O(n log n) algorithm for the Voronoi diagram of the set of simple curve segments. Discrete Comput. Geom., 2(1987), pp. 365-393.

Paper Citation

in Harvard Style

Mestetskiy L. and Semenov A. (2008). BINARY IMAGE SKELETON - Continuous Approach . In Proceedings of the Third International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP, (VISIGRAPP 2008) ISBN 978-989-8111-21-0, pages 251-258. DOI: 10.5220/0001072402510258

in Bibtex Style

author={Leonid Mestetskiy and Andrey Semenov},
title={BINARY IMAGE SKELETON - Continuous Approach},
booktitle={Proceedings of the Third International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP, (VISIGRAPP 2008)},

in EndNote Style

JO - Proceedings of the Third International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP, (VISIGRAPP 2008)
TI - BINARY IMAGE SKELETON - Continuous Approach
SN - 978-989-8111-21-0
AU - Mestetskiy L.
AU - Semenov A.
PY - 2008
SP - 251
EP - 258
DO - 10.5220/0001072402510258