Skip to main content

Spatiotemporal Inseparability of Natural Images and Visual Sensitivities

  • Chapter
Motion Vision

Abstract

The visual system is concerned with the perception of objects in a dynamic world. A significant fact about natural time-varying images is that they do not change randomly over space-time; instead image intensities at different times and/or spatial positions are highly correlated. We measured the spatiotemporal correlation function — equivalently the power spectrum — of natural images and we find that it is non-separable, i.e., coupled in space and time, and exhibits a very interesting scaling behaviour. This behaviour is shown to be related to the motion in the images and the power spectrum is naturally separable into a spatial term and a velocity term. The same kind of spatiotemporal coupling and scaling exists in visual sensitivity measured in physiological and psychophysical experiments. By assuming that the visual system is optimized to process information of natural images, a quantitative relationship can be derived between the power spectrum of natural images and the visual sensitivity. This reveals some interesting aspects of motion vision.

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 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover 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

  • Atick JJ (1992) Could information theory provide an ecological theory of sensory processing? Network: Comp Neural Syst 3: 213–251

    Article  Google Scholar 

  • Burton GJ, Moorhead IR (1987) Color and spatial structure in natural scenes. Appl Optics. 26: 157–170

    Article  CAS  Google Scholar 

  • Campbell FW, Gubisch RW (1966) Optical quality of the human eye. J Physiol 186: 558–578

    PubMed  CAS  Google Scholar 

  • Dong DW (1997) Spatiotemporal coupling and scaling of natural images and human visual sensitivities. In: Mozer MC, Jordan MI, Petsche T (eds) Advances in neural information processing systems 9. MIT Press, Cambridge, pp 859–865

    Google Scholar 

  • Dong DW, Atick JJ (1995a) Statistics of natural time-varying images Network: Comp Neural Syst 6: 345–358

    Google Scholar 

  • Dong DW, Atick JJ (1995b) Temporal decorrelation: a theory of lagged and nonlagged responses in the lateral geniculate nucleus. Network: Comp Neural Sys 6: 159–178

    Article  Google Scholar 

  • Eckert MP, Buchsbaum G (1993) Efficient coding of natural time varying images in the early visual system. Phil Trans Roy Soc Lond B 339: 385–39

    Article  CAS  Google Scholar 

  • Eckert MP, Buchsbaum G, Watson AB (1992) Separability of spatiotemporal spectra of image sequences. IEEE Trans Pattern Anal Machine Intell 14: 1210–1213

    Article  Google Scholar 

  • van Essen DC, Anderson CC (1990) Information processing strategies and pathways in the primate retina and visual cortex. In: Zotnetzer SF, Davis JL, Lau C (eds) Introduction to neural and electronic networks. Academic Press, Orlando, pp 43–72

    Google Scholar 

  • Field DJ (1987) Relations between the statistics of natural images and the response properties of cortical cells. J Opt Soc Am A 4: 2379–2394

    Article  PubMed  CAS  Google Scholar 

  • Hancock PJB, Baddeley RJ, Smith LS (1992) The principal components of natural images Network: Comp Neural Syst 3: 61–70

    Article  Google Scholar 

  • van Hateren JH (1993) Spatiotemporal contrast sensitivity of early vision. Vision Res 33: 257–267

    Article  PubMed  Google Scholar 

  • van Hateren JH (1997) Processing of natural time series of intensities by the visual system of the blowfly. Vision Res 37: 3407–3416

    Article  PubMed  Google Scholar 

  • Horn BKP, Schunk BG (1981) Determining optical flow. Artif Intell 17: 185

    Article  Google Scholar 

  • Jain JR, Jain AK (1981) Displacement measurement and its application in interframe image coding IEEE Trans Commun 29.1799–1808

    Google Scholar 

  • Kelly DH, (1979) Motion and vision II. Stabilized spatio-temporal threshold surface. J Opt Soc Am 69: 1340–1349

    Article  PubMed  CAS  Google Scholar 

  • Kretzmer ER (1952) Statistics of television signals. The Bell System Technical Journal 751–763

    Google Scholar 

  • Li Z (1992) Different retinal ganglion cells have different functional goals. Int J Neural Systems 3: 237–248

    Article  Google Scholar 

  • Ruderman DL (1997) Origins of scaling in natural images. Vision Res 37: 3385–3398

    Article  PubMed  CAS  Google Scholar 

  • Ruderman DL, Bialek W (1994) Statistics of natural images: scaling in the woods. Phys Rev Let 73: 814–817

    Article  Google Scholar 

  • Schnapf IL, Baylor DA (1987) How photoreceptor cells respond to light. Scient Am 256: 40–47

    Article  CAS  Google Scholar 

  • Tolhurst DJ, Tadmor Y, Chao T (1992) Amplitude spectra of natural images. Opthal Physiol Optics 12: 229–232

    Article  CAS  Google Scholar 

  • Troy JB (1983a) Spatio-temporal interaction in neurons of the cats dorsal lateral geniculate nucleus. J Physiol 344: 419–423

    CAS  Google Scholar 

  • Troy JB (1983b) Spatio contrast sensitivities of X and Y type neurons in the cats dorsal lateral geniculate nucleus. J Physiol 344: 399–417

    CAS  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 chapter

Cite this chapter

Dong, D.W. (2001). Spatiotemporal Inseparability of Natural Images and Visual Sensitivities. In: Zanker, J.M., Zeil, J. (eds) Motion Vision. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56550-2_19

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-56550-2_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-62979-2

  • Online ISBN: 978-3-642-56550-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics