Skip to main content

The Geodesic Morphological Skeleton and Fast Transformation Algorithms

  • Chapter
Book cover Mathematical Morphology and Its Applications to Image Processing

Part of the book series: Computational Imaging and Vision ((CIVI,volume 2))

Abstract

A new method to encode and reconstruct the contours of a segmented image is described in this paper. Encoding is based on the morphological skeleton which is extended using geodesic distance functions. This allows us to fully take into account already coded labels and hence known contours and to avoid coding a contour twice. Moreover, fast algorithms for skeleton reconstruction based on hierarchical queues will be presented.

The algorithm is used for image sequence coding at very low bit-rates. The experimental results validate the chosen approach.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 79.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. S. Ayer and P. Schroeter. Hierarchical robust motion estimation for segmentation of moving objects. In Eigth IEEE Workshop on Image and Multidimensional Signal Processing, Cannes, France, September 1993.

    Google Scholar 

  2. S. Beucher and F. Meyer. The morphological approach to segmentation: the watershed transformation. In E. Dougherty, editor, Mathematical morphology in image processing, chapter 12, pp. 433–481. Marcel Dekker, 1993.

    Google Scholar 

  3. P. Brigger and M. Kunt. Contour image sequence coding using the geodesic morphological skeleton. In International Workshop on Coding Techniques for Very Low Bit-rate Video, pp. 3.1–3.2, Essex, Colchester, April 1994.

    Google Scholar 

  4. R. Kresch and D. Malah. Morphological reduction of skeleton redundancy. In J. Serra and P. Salembier, editors, Mathematical Morphology and its Applications to Signal Processing, pages 145–150, Barcelona, Spain, May 1993. Universitat Politècnica de Catalunya.

    Google Scholar 

  5. M. Kunt, A. Ikonomopoulos, and M. Kocher. Second-generation image coding techniques. Proc. IEEE, 73, No.4, April 1985.

    Google Scholar 

  6. C. Lantuéjoul. Sur le modèle de Johnson-Mehl généralisé. Technical report, Centre de Morphologie Mathématique, Fontainebelau, France, 1977.

    Google Scholar 

  7. P. A. Maragos and R. W. Schafer. Morphological skeleton representation and coding of binary images. IEEE Transactions on acoustics,speech and signal processing,34(5):1228–1244, October 1986.

    Article  Google Scholar 

  8. G. Matheron. Examples of topological properties of skeletons. In J. Serra, editor, Image analysis and mathematical morphology. Volume 2: theoretical advances, chapter 11, pp. 217–238. Academic Press, 1988.

    Google Scholar 

  9. F. Meyer. Skeletons and watershed lines in digital spaces. SPIE, 1350:85–102, 1990.

    Article  Google Scholar 

  10. M. Pardas, P. Salembier, and L. Torres. 3d morphological segmentation for image sequence processing. In Proc. of IEEE Winter Workshop on Nonlinear Signal Processing, Tampere, Finland, 1993.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1994 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Brigger, P., Kunt, M., Meyer, F. (1994). The Geodesic Morphological Skeleton and Fast Transformation Algorithms. In: Serra, J., Soille, P. (eds) Mathematical Morphology and Its Applications to Image Processing. Computational Imaging and Vision, vol 2. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1040-2_18

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-1040-2_18

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4453-0

  • Online ISBN: 978-94-011-1040-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics