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HandWiki. Axiomatic Theory of Receptive Fields. Encyclopedia. Available online: https://encyclopedia.pub/entry/33175 (accessed on 13 September 2026).
HandWiki. Axiomatic Theory of Receptive Fields. Encyclopedia. Available at: https://encyclopedia.pub/entry/33175. Accessed September 13, 2026.
HandWiki. "Axiomatic Theory of Receptive Fields" Encyclopedia, https://encyclopedia.pub/entry/33175 (accessed September 13, 2026).
HandWiki. (2022, November 07). Axiomatic Theory of Receptive Fields. In Encyclopedia. https://encyclopedia.pub/entry/33175
HandWiki. "Axiomatic Theory of Receptive Fields." Encyclopedia. Web. 07 November, 2022.
Axiomatic Theory of Receptive Fields
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The content is sourced from: https://handwiki.org/wiki/Biology:Axiomatic_theory_of_receptive_fields

Receptive field profiles registered by cell recordings have shown that mammalian vision has developed receptive fields tuned to different sizes and orientations in the image domain as well as to different image velocities in space-time. Corresponding cell recordings in the auditory system has shown that mammals have developed receptive fields tuned to different frequencies as well as temporal transients. This article describes normative theories that have been developed to explain these properties of sensory receptive fields based on structural properties of the environment. Beyond theoretical explanation of biological phenomena, these theories can also be used for computational modelling of biological receptive fields and for building algorithms for artificial perception based on sensory data.

computational modelling receptive fields structural properties

References

  1. T. Lindeberg (2013) "A computational theory of visual receptive fields", Biological Cybernetics, 107(6): 589-635. https://dx.doi.org/10.1007/s00422-013-0569-z
  2. T. Lindeberg (2016) "Time-causal and time-recursive spatio-temporal receptive fields", Journal of Mathematical Imaging and Vision 55(1): 50-88. http://www.csc.kth.se/~tony/abstracts/Lin16-JMIV.html
  3. T. Lindeberg (2011) "Generalized Gaussian scale-space axiomatics comprising linear scale-space, affine scale-space and spatio-temporal scale-space", Journal of Mathematical Imaging and Vision, 40(1): 36-81. http://www.csc.kth.se/~tony/abstracts/Lin10-GenGaussScSp.html
  4. J. J. Koenderink and A. J. van Doorn (1987) "Representation of local geometry in the visual system", Biological Cybernetics 55:367–375.
  5. R. A. Young (1987) "The Gaussian derivative model for spatial vision: I. Retinal mechanisms", Spatial Vision 2(4): 273-293.
  6. J. J. Koenderink and A. J. van Doorn (1992) "Generic neighbourhood operators", IEEE Transactions on Pattern Analysis and Machine Intelligence, 14: 597-605.
  7. T. Lindeberg (1993) Scale-Space Theory in Computer Vision, Springer, 1993, ISBN:0-7923-9418-6. http://www.csc.kth.se/~tony/book.html
  8. T. Lindeberg (1994). "Scale-space theory: A basic tool for analysing structures at different scales". Journal of Applied Statistics 21 (2): pp. 224–270. doi:10.1080/757582976. http://www.csc.kth.se/~tony/abstracts/Lin94-SI-abstract.html. 
  9. G. C. DeAngelis, I. Ohzawa and R. D. Freeman (1995) "Receptive field dynamics in the central visual pathways". Trends Neurosci. 18(10), 451–457.
  10. G. C. DeAngelis and A. Anzai (2004) "A modern view of the classical receptive field: linear and non-linear spatio-temporal processing by V1 neurons. In: Chalupa, L.M., Werner, J.S. (eds.) The Visual Neurosciences, vol. 1, pp. 704–719. MIT Press, Cambridge.
  11. T. Lindeberg (2013) "Invariance of visual operations at the level of receptive fields", PLOS ONE 8(7): e66990, pages 1-33. https://dx.doi.org/10.1371/journal.pone.0066990
  12. T. Lindeberg and A. Friberg (2015) "Idealized computational models of auditory receptive fields", PLOS ONE, 10(3): e0119032, pages 1-58. https://dx.doi.org/10.1371/journal.pone.0119032
  13. T. Lindeberg and A. Friberg (2015) "Scale-space theory for auditory signals", Proc. SSVM 2015: Scale-Space and Variational Methods in Computer Vision, Springer LNCS 9087: 3-15. http://www.csc.kth.se/~tony/abstracts/LinFri15-SSVM.html
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