Skip to main content
Log in

Responses of simple cells: events, interferences, and ambiguities

  • Published:
Biological Cybernetics Aims and scope Submit manuscript

Abstract

The responses of “complex” simple cells, which are an abstraction of pairs of simple cells having real receptive fields with phases in quadrature, to ideal line and edge patterns (events) are studied. These responses are generalized for events which are convolved with a Gaussian blur function. Normal and abnormal scalings lead to a unified description of the responses of cells with scaled receptive fields to ideal and blurred events. Scale tuning requirements and orientation estimation accuracy are derived. The responses in ambiguous neighbourhoods, where there are two events in the cells' receptive fields, are analyzed, considering both parallel and crossing event combinations.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Barlow HB (1972) Single units and sensation: a neuron doctrine for perceptual psychology. Perception 1:371–394

    Google Scholar 

  • Bigün J (1988) Local symmetry features in image processing. Doctoral thesis, Linköping University, Sweden

    Google Scholar 

  • Buf JMH du (1992a) Modelling spatial vision at the threshold level. Spatial Vision 6:25–60

    Google Scholar 

  • Buf JMH du (1992b) Brightness versus apparent contrast 3: Blurred disks and concentric cosine gratings. Spatial Vision 6:265–284

    Google Scholar 

  • Buf JMH du (1992c) Abstract processes in texture discrimination. Spatial Vision 6:221–242

    Google Scholar 

  • Buf JMH du (1993) Ambiguities in Gabor space. In: Gale AG (ed) Visual search III. Taylor and Francis Ltd, London

    Google Scholar 

  • Caelli T, Oguztoreli MN (1987) Some task and signal dependent rules for spatial vision. Spatial Vision 2:295–315

    Google Scholar 

  • Canny J (1986) A computational approach to edge detection. IEEE Trans Pattern Anal Machine Intell PAMI-8:679–698

    Google Scholar 

  • De Valois RL, Yund EW, Hepler N (1982) The orientation and direction selectivity of cells in macaque visual cortex. Vision Res 22:531–544

    Google Scholar 

  • Field DJ (1987) Relations between the statistics of natural images and the response properties of cortical cells. J Opt Soc Am A4:2379–2394

    Google Scholar 

  • Granlund GH (1978) In search of a general picture processing operator. Comput Graph Image Proc 8:155–178

    Google Scholar 

  • Grossberg S, Mingolla E, Todorović D (1989) A neural network architecture for preattentive vision. IEEE Trans Biomed Eng BME-36:65–84

    Google Scholar 

  • Heitger F, Rosenthaler L, Heydt R von der, Peterhans E, Kübler O (1992) Simulation of neural contour mechanisms: from simple to end-stopped cells. Vision Res 32:963–981

    Google Scholar 

  • Hubel DH, Wiesel TN (1974) Sequence regularity and geometry of orientation columns in the monkey striate cortex. J Comp Neurol 158:267–294

    Google Scholar 

  • Koenderink JJ, Doorn AJ van (1990) Receptive field families. Biol Cybern 63:291–297

    Google Scholar 

  • Marčelja S (1980) Mathematical description of the responses of simple cortical cells. J Opt Soc Am 70:1297–1300

    Google Scholar 

  • Marr D, Hildreth E (1980) Theory of edge detection. Proc R Soc London Ser B-207:187–217

    Google Scholar 

  • Morrone C, Owens R (1987) Feature detection from local energy. Pattern Recogn Lett 6:303–313

    Google Scholar 

  • Mostafavi H, Sakrison DJ (1976) Structure and properties of a single channel in the human visual system. Vision Res 16:957–968

    Google Scholar 

  • Olzak LA, Thomas JP (1986) Seeing spatial patterns. In: Boff KR, Kaufman L, Thomas JP (eds) Handbood of perception and human performance, vol I., Wiley, New York, pp 7-1 to 7-56

    Google Scholar 

  • Owens R, Venkatesh S, Ross J (1989) Edge detection is a projection. Pattern Recogn Lett 9:233–244

    Google Scholar 

  • Ross J, Morrone MC, Burr DC (1989) The conditions under which Mach bands are visible. Vision Res 29:699–715

    Google Scholar 

  • Stork DG, Wilson HR (1990) Do Gabor functions provide appropriate descriptions of visual cortical receptive fields? J Opt Soc Am A7:1362–1373

    Google Scholar 

  • Venkatesh S, Owens R (1990) On the classification of image features. Pattern Recogn Lett 11:339–349

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

du Buf, J.M.H. Responses of simple cells: events, interferences, and ambiguities. Biol. Cybern. 68, 321–333 (1993). https://doi.org/10.1007/BF00201857

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00201857

Keywords

Navigation