Skip to main content

Scale-Time Kernels and Models

  • Conference paper
  • First Online:
Scale-Space and Morphology in Computer Vision (Scale-Space 2001)

Part of the book series: Lecture Notes in Computer Science 2106 ((LNCS,volume 2106))

Included in the following conference series:

Abstract

Receptive field sensitivity profiles of visual front-end cells in the LGN and V1 area in intact animals can be measured with increasing accuracy, both in the spatial and temporal domain. This urges the need for mathematical models. Scale-space theory, as a theory of (multiscale) apertures as operators on observed data, is concerned with the mathematical modeling of front-end visual system behaviour. This paper compares recent measurements on the spatio-temporal respons of LGN cell and V1 simple cell receptive fields [1] with Koenderink’s results from axiomatic reasoning for a real-time measuring spatio-temporal differential operator [2]. In this model time must be logarithmically remapped to make the operation causal in the temporal domain.

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 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.

References

  1. R.L. De Valois, N.P. Cottaris, L.E. Mahon, S.D. Elfar, and J.A. Wilson, “Spatial and temporal receptive fields of geniculate and cortical cells and directional selectivity,” Vision Research, vol. 40, pp. 3685–3702, 2000.

    Article  Google Scholar 

  2. J.J. Koenderink, “Time-scale,#x201D; Biological Cybernetics, vol. 58, pp. 159–162, 1988.

    Article  MathSciNet  MATH  Google Scholar 

  3. J. Weickert, S. Ishikawa, and A. Imiya, “Linear scale-space has first been proposed in japan,” J. Math Imaging and Vision, vol. 10, pp. 237–252, 1999.

    Article  MathSciNet  MATH  Google Scholar 

  4. M. Nielsen, From paradigm to algorithms in computer vision. PhD thesis, DIKU Copenhagen University, Denmark, 1995.

    Google Scholar 

  5. L.M.J. Florack, Image Structure. Computational Imaging and Vision Series, Dordrecht: Kluwer Academic Publishers, 1997.

    Google Scholar 

  6. L. Lindeberg and D. Fagerstrom, “Scale-space with causal time direction,” in Lecture Notes in Computer Science, vol. 1064, pp. 229–240, 1996.

    Google Scholar 

  7. L. Lindeberg, “Linear spatio-temporal scale-space,” in Lecture Notes in Computer Science, vol. 1252, 1997.

    Google Scholar 

  8. L. Bretzner and L. Lindeberg, “On the handling of spatial and temporal scales in feature tracking,” in Lecture Notes in Computer Science, vol. 1252, July 2-4 1997.

    Google Scholar 

  9. L. Bretzner and L. Lindeberg, “Feature tracking with automatic selection of spatial scales,” Comp. Vision and Image Understanding, vol. 71, pp. 385–392, 1998.

    Article  Google Scholar 

  10. L. Lindeberg, “On automatic selection of temporal scales in time-causal scale-space,” in Lecture Notes in Computer Science, vol. 1315, pp. 94–113, 1997.

    Google Scholar 

  11. G.C. DeAngelis, I. Ohzawa, and R.D. Freeman, “Receptive field dynamics in the central visual pathways,” Trends Neurosci., vol. 18, pp. 451–458, 1995.

    Article  Google Scholar 

  12. D.L. Ringach, G. Sapiro, and R. Shapley, “A subspace reverse correlation technique for the study of visual neurons,” Vision Research, vol. 37,no. 17, pp. 2455–2464, 1997.

    Article  Google Scholar 

  13. E. Poppel, “Handbook of Sensory Physiology, ch. Time perception, pp. 713–729. Berlin: Springer, 1978.

    Google Scholar 

  14. N.K. Logothetis, H. Guggenberger, S. Peled, and J. Pauls, “Functional imaging of the monkey brain,” Nature Neuroscience, vol. 2,no. 6, pp. 555–562, 1999.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

ter Haar Romeny, B.M., Florack, L.M.J., Nielsen, M. (2001). Scale-Time Kernels and Models. In: Kerckhove, M. (eds) Scale-Space and Morphology in Computer Vision. Scale-Space 2001. Lecture Notes in Computer Science 2106, vol 2106. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-47778-0_22

Download citation

  • DOI: https://doi.org/10.1007/3-540-47778-0_22

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42317-1

  • Online ISBN: 978-3-540-47778-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics