Abstract
We present an analytical ideal observer model to predict discrimination thresholds for stimuli that are processed by arrays of noise-perturbed receptors that have smooth and overlapping tuning functions. We show that hyperacuity phenomena are natural properties of these systems. A comparison of thresholds for a number of discrimination tasks allows a psychophysically derived estimate of parameters of the receptor array involved. We note the consistency of this scheme with data from a number of visual subfields.
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References
Ahumada Jr AJ (1987) Putting the visual system noise back in the picture. J Opt Soc Am A4:2372–2378
Altes RA (1989) Ubiquity of hyperacuity. J Acoust Soc Am 85:943–952
Baldi P, Heiligenberg W (1988) How sensory maps could enhance resolution through ordered arrangements of broadly tuned receivers. Biol Cybern 59:313–318
Ballard DH (1986) Cortical connections and parallel processing: Structure and function. Behav Brain Sci 9:67–90
Bradley A, Skottun BC, Ohzawa I, Sclar G, Freeman RD (1985) Neurophysiological evaluation of the differential response model for orientation and spatial-frequency discrimination. J Opt Soc Am A 2:1607–1610
Bradley A, Skottun BC, Ohzawa I, Sclar G, Freeman RD (1987) Visual orientation and spatial frequency discrimination: a comparison of single neurons and behavior. J Neurophysiol 57:755–773
Cohn TE, Lasley DJ (1986) Visual sensitivity. Ann Rev Psychol 37:495–521
Cornsweet TN, Pinsker HM (1965) Luminance discrimination of brief flashes under various conditions of adaptation. J Physiol 176:294–310
Dean AF (1981) The variability of discharge of simple cells in the cat striate cortex. Exp Brain Res 44:437–440
Doorn AJ van, Koenderink JJ, van de Grind WA (1984) Limits in spatio-temporal correlation and the perception of visual movement. In: van Doorn AJ, Koenderink JJ, van de Grind WA (eds) Limits in perception. VNU Science Press, Amsterdam, pp 203–234
Erickson RP (1968) Stimulus coding in topographic and nontopographic afferent modalities: on the significance of the activity of individual neurons. Psychol Rev 75:447–465
Geisler WS (1984) Physical limits of acuity and hyperacuity. J Opt Soc Am A 1:775–782
Geisler WS (1989) Sequential ideal-observer analysis of visual discriminations. Psychol Rev 96:267–314
Geisler WS, Davila KD (1985) Ideal discriminators in spatial vision: two-point stimuli. J Opt Soc Am A 2:1483–1497
Graham RL, Knuth DE, Patashnik O (1988) Concrete mathematics, Chap 9, ex 59. Addison Wesley, Reading Mass
Green DM, Swets JA (1966) Signal detection theory and psychophysics. Wiley, New York
Hogg RV, Craig AT (1978) Introduction to mathematical statistics, 4th edn. Macmillan, New York
Hinton GE (1981) Shape representation in parallel systems. Proceedings of the 7th International Joint conference on Artificial Intelligence. Vancouver, BC, Canada, pp 1088–1096
Koenderink JJ, van Doorn AJ (1986) Logical stratification of organic intelligence. In: Trappl R (eds) Cybernetics and systems '86. Reidel, Dordrecht Boston Lancaster, pp 871–878
Laming DRJ (1986) Sensory analysis. Academic Press, London
Lasley DJ, Cohn TE (1981) Why luminance discrimination may be better than detection. Vision Res 21:273–278
Leshowitz B, Taub HB, Raab DH (1968) Visual detection of signals in the presence of continuous and pulsed backgrounds. Percept Psychophys 4:207–213
Levi DM, Klein SA (1990) Equivalent intrinsic blur in spatial vision. Vision Res 30:1071–1993
Marr D, Poggio T, Hildreth E (1980) Smallest channel in early human vision. J Opt Soc Am 70:868–870
Määttänen LM, Koenderink JJ, Nienhuis B (1988) Contrast discrimination: invariant to spatial parameters. Vision Res 28:811–818
Melsa JL, Cohn DL (1978) Decision and estimation theory. McGraw-Hill, New York
Paradiso MA (1988) A theory for the use of visual orientation information which exploits the columnar structure of striate cortex. Biol Cybern 58:35–49
Parker AJ, Yang Y (1989) Spatial properties of disparity pooling in human stereo vision. Vision Res 29:1525–1538
Post RB, Leibowitz HW (1980) Independence of radial localization from refractive error. J Opt Soc Am 70:1377–1379
Prucnal PR, Teich MC (1982) Mutliplication noise in the human visual system at threshold: 2. Probit estimation of parameters. Biol Cybern 43:87–96
Ratliff F, Sirovich L (1978) Equivalence classes of visual stimuli. Vision Res 18:845–851
Shapley R, Victor J (1986) Hyperacuity in cat retinal ganglion cells. Science 231:999–1002
Stevenson SB, Cormack LK, Schor CM (1989) Hyperacuity, superresolution and gap resolution in human stereopsis. Vision Res 29:1597–1605
Toet A, Snippe HP, Koenderink JJ (1988) Effects of blur and eccentricity on differential spatial displacement discrimination. Vision Res 28:535–553
Tolhurst DJ, Movshon JA, Thompson ID (1981) The dependence of response amplitude and variance of cat visual cortical neurones on stimulus contrast. Exp Brain Res 41:414–419
Tolhurst DJ, Movshon JA, Dean AF (1983) The statistical reliability of signals in single neurons in cat and monkey striate cortex. Vision Res 23:775–785
Toraldo di Franca G (1955) Resolving power and information. J Opt Soc Am 45:497–501
Vogels R, Spileers W, Orban GA (1989) The response variability of striate cortical neurons in the behaving monkey. Exp Brain Res 77:432–436
Westheimer G (1981) Visual hyperacuity. Prog Sens Physiol 1:1–30
Westheimer G, McKee SP (1977) Spatial configurations for visual hyperacuity. Vision Res 17:941–947
Williams RA, Enoch JM, Essock EA (1984) The resistance of selected yperacuity configurations to retinal image degradation. Invest Opthalmol Vis Sci 25:389–399
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Snippe, H.P., Koenderink, J.J. Discrimination thresholds for channel-coded systems. Biol. Cybern. 66, 543–551 (1992). https://doi.org/10.1007/BF00204120
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DOI: https://doi.org/10.1007/BF00204120