Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
Skip to main content

Properties of Pyramidal Representations

  • Conference paper
Theoretical Foundations of Computer Vision

Part of the book series: Computing Supplement ((COMPUTING,volume 11))

  • 181 Accesses

Abstract

Properties of Pyramidal Representations. The categorization of different components generalizes the classical concept of image pyramids and provides a powerful tool for efficient image analysis. Three aspects of image pyramids are distinguished: their structure, the contents of their cells and the processes that operate on them. The properties of these three aspects of a pyramidal system are discussed and illustrated by examples. The general theory covers the most recent results, e.g. structure preserving irregular pyramids, sigmoid pyramids, the concept of equivalent interpretation, and the fuzzy curve pyramid.

This work was supported by the Austrian National Fonds zur Förderung der wissenschaftlichen Forschung under grant S 7002.

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

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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.

Similar content being viewed by others

References

  1. Ackermann, F., Hahn, M.: Image pyramids for digital photogrammetry. In: Digital photogrammetric systems (Ebner, H., et al., eds.), pp. 43–58. Karlsruhe: Wichmann 1991.

    Google Scholar 

  2. Aloimonos, Y., ed.: Active Perception. Hillsdale, New Jersey: Lawrence Erlbaum 1993.

    Google Scholar 

  3. Bischof, H.: Pyramidal Neural Networks. PhD thesis, Technische Universität Wien, 1993.

    Google Scholar 

  4. Bischof, H., Kropatsch, W. G.: The fuzzy curve pyramid. In: 12th IAPR International Conference on Pattern Recognition Vol. 1 (Peleg, S., Ullman, S., Yeshurun, Y., eds.), pp. 505–509. Washington, Brussels, Tokyo: IEEE Comp. Soc., 1994.

    Google Scholar 

  5. Bister, M., Cornelis, J., Rosenfeld, A.: A critical view of pyramid segmentation algorithms. Pattern Rec. Lett. 11, 605–617 (1990).

    Article  MATH  Google Scholar 

  6. Blanford, R. P., Tanimoto, S. L.: Bright spot detection in pyramids. Comput. Vision Graphics Image Proc. 43, 133–149 (1988).

    Article  Google Scholar 

  7. Burt, P. J., Adelson, E. H.: The Laplacian pyramid as a compact image code. IEEE Trans. Comm. COM-31, 532–540 (1983).

    Article  Google Scholar 

  8. Burt, P. J., Hong, T.-H., Rosenfeld, A.: Segmentation and estimation of image region properties through cooperative hierarchical computation. IEEE Trans. Systems Man Cybernetics SMC-11, 802–809 (1981).

    Article  Google Scholar 

  9. Jolion, J.-M., Montanvert, A.: The adaptive pyramid, a framework for 2D image analysis. Comput. Vision Graphics Image Proc. Image Underst. 55, 339–348 (1992).

    MATH  Google Scholar 

  10. Kropatsch, W. G.: Curve representations in multiple resolutions. Pattern Rec. Lett. 6, 179–184 (1987).

    Article  Google Scholar 

  11. Kropatsch, W. G.: Preserving contours in dual pyramids. Proc. 9th International Conference on Pattern Recognition, pp. 563–565, Rome, Italy, November 1988. IEEE Comp. Soc.

    Google Scholar 

  12. Kropatsch, W. G.: Rezeptive Felder in Bildpyramiden. In: Mustererkennung 1988 (Bunke, H., Kubler, O., Stucki, P., eds.), pp. 333–339. Berlin, Heidelberg, New York, Tokyo: Springer 1988 (Informatik Fachberichte Vol. 180).

    Google Scholar 

  13. Kropatsch, W. G.: Image pyramids and curves—an overview. Technical Report PRIP-TR-2, Institute f. Automation 183/2, Dept. for Pattern Recognition and Image Processing, TU Wien, Austria, 1991.

    Google Scholar 

  14. Kropatsch, W. G.: Building irregular pyramids by dual graph contraction. Technical Report PRIP-TR-35, Institute f. Automation 183/2, Dept. for Pattern Recognition and Image Processing, TU Wien, Austria, 1994.

    Google Scholar 

  15. Kropatsch, W. G., Montanvert, A.: Irregular versus regular pyramid structures. In: Geometrical problems of image processing (Eckhardt, U., Hübler, A., Nagel, W., Werner, G., eds.), pp. 11–22. Berlin: Akademie Verlag 1991.

    Google Scholar 

  16. Kropatsch, W. G., Neuhauser, M. A., Leitgeb, I. J.: Iterated function systems—A direct discrete approach with pyramids. In: Pattern recognition 1992, pp. 108–118. OCG-Schriftenreihe, Band 62. Österr. Arbeitsgemeinschaft für Mustererkennung. München: R. Oldenburg 1992.

    Google Scholar 

  17. Kropatsch, W. G., Reither, C., Willersinn, D., Wlaschitz, G.: The dual irregular pyramid. In: Proceedings CAIP’93, Budapest, pp. 31–40, 1993.

    Google Scholar 

  18. Leonardis, A.: Image analysis using parametric models: model-recovery and model-selection paradigm. PhD thesis, University of Ljubljana, Department of Computer and Information Science, Faculty of Electrical Engineering and Computer Science, 1993.

    Google Scholar 

  19. Leonardis, A.: A robust approach to estimation of parametric models. In: Theoretical foundations of computer vision (Kropatsch, W., Klette, R., Solina, F., eds.), pp. 113–130. Wien, New York: Springer 1996 (Computing Suppl. 11).

    Chapter  Google Scholar 

  20. Meer, P.: Stochastic image pyramids. Comput. Vision Graphics Image Proc. 45, 269–294 (1989).

    Article  Google Scholar 

  21. Meer, P., Jiang, S.-N., Baugher, E. S., Rosenfeld, A.: Robustness of image pyramids under structural perturbations. Comput. Vision Graphics Image Proc. 44, 307–331 (1988).

    Article  Google Scholar 

  22. Montanvert, A., Meer, P., Rosenfeld, A.: Irregular tesselation based image analysis. In: Proc. 10th International Conference on Pattern Recognition, pages 474–479, Atlantic City, New Jersey, USA, June 1990. IEEE Comp. Soc. Vol. I.

    Google Scholar 

  23. Nacken, P. F.: Image analysis methods based on hierarchies of graphs and multi-scale mathematical morphology. PhD thesis, Universiteit van Amsterdam, The Netherlands, June 1994.

    Google Scholar 

  24. Rosenfeld, A.: Quadtrees and pyramids: hierarchical representation of images. Technical Report TR-1171, University of Maryland, Computer Science Center, May 1982.

    Google Scholar 

  25. Rosenfeld, A., Kak, A. C.: Digital picture processing, 2nd ed., Vol. 1 and 2. New York: Academic Press 1982.

    Google Scholar 

  26. Willersinn, D.: Parallel graph contraction for dual irregular pyramids. Technical Report PRIP-TR-28 Institute f. Automation 183/2, Dept. for Pattern Recognition and Image Processing, TU Wien, Austria, 1994.

    Google Scholar 

  27. Willersinn, D., Kropatsch, W. G.: Dual graph contraction for irregular pyramids. In: 12th IAPR International Conference on Pattern Recognition, Vol. III (Peleg, S., Ullman, S., Yeshurun, Y., eds.), pp. 251–256. Washington, Brussels, Tokyo: IEEE Comp. Soc., 1994.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Springer-Verlag Wien

About this paper

Cite this paper

Kropatsch, W.G. (1996). Properties of Pyramidal Representations. In: Kropatsch, W., Klette, R., Solina, F., Albrecht, R. (eds) Theoretical Foundations of Computer Vision. Computing Supplement, vol 11. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6586-7_6

Download citation

  • DOI: https://doi.org/10.1007/978-3-7091-6586-7_6

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-82730-7

  • Online ISBN: 978-3-7091-6586-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics