Magnitude of perceived change in natural images may be linearly proportional to differences in neuronal firing rates.

We are studying how people perceive naturalistic suprathreshold changes in the colour, size, shape or location of items in images of natural scenes, using magnitude estimation ratings to characterise the sizes of the perceived changes in coloured photographs. We have implemented a computational model that tries to explain observers' ratings of these naturalistic differences between image pairs. We model the action-potential firing rates of millions of neurons, having linear and non-linear summation behaviour closely modelled on real VI neurons. The numerical parameters of the model's sigmoidal transducer function are set by optimising the same model to experiments on contrast discrimination (contrast 'dippers') on monochrome photographs of natural scenes. The model, optimised on a stimulus-intensity domain in an experiment reminiscent of the Weber-Fechner relation, then produces tolerable predictions of the ratings for most kinds of naturalistic image change. Importantly, rating rises roughly linearly with the model's numerical output, which represents differences in neuronal firing rate in response to the two images under comparison; this implies that rating is proportional to the neuronal response.

[1]  J. Movshon,et al.  The statistical reliability of signals in single neurons in cat and monkey visual cortex , 1983, Vision Research.

[2]  C. Enroth-Cugell,et al.  X and Y ganglion cells inform the cat's brain about contrast in the retinal image , 2004, Experimental Brain Research.

[3]  D J Field,et al.  Local Contrast in Natural Images: Normalisation and Coding Efficiency , 2000, Perception.

[4]  D. Tolhurst The amount of information transmitted about contrast by neurones in the cat's visual cortex , 1989, Visual Neuroscience.

[5]  C. Blakemore,et al.  Lateral inhibition between orientation detectors in the cat's visual cortex , 2004, Experimental Brain Research.

[6]  L. Maffei,et al.  The unresponsive regions of visual cortical receptive fields , 1976, Vision Research.

[7]  D. Tolhurst,et al.  The Sparseness of Neuronal Responses in Ferret Primary Visual Cortex , 2009, The Journal of Neuroscience.

[8]  D J Tolhurst,et al.  Contrast constancy in natural scenes in shadow or direct light: A proposed role for contrast-normalisation (non-specific suppression) in visual cortex , 2005, Network.

[9]  D. Tolhurst,et al.  Perception of suprathreshold naturalistic changes in colored natural images. , 2010, Journal of vision.

[10]  J. A. Movshon,et al.  The dependence of response amplitude and variance of cat visual cortical neurones on stimulus contrast , 1981, Experimental Brain Research.

[11]  P. Matthews,et al.  The regularity of primary and secondary muscle spindle afferent discharges , 1969, The Journal of physiology.

[12]  D. Tolhurst,et al.  Summation of perceptual cues in natural visual scenes , 2008, Proceedings of the Royal Society B: Biological Sciences.

[13]  A. Reeves,et al.  Effect of luminance on suprathreshold contrast perception. , 1991, Journal of the Optical Society of America. A, Optics and image science.

[14]  Mylène C. Q. Farias,et al.  Detection of Gabor patterns of different sizes, shapes, phases and eccentricities , 2007, Vision Research.

[15]  D. G. Albrecht,et al.  Spikes versus BOLD: what does neuroimaging tell us about neuronal activity? , 2000, Nature Neuroscience.

[16]  Mark A. Georgeson,et al.  Fixed or variable noise in contrast discrimination? The jury’s still out… , 2006, Vision Research.

[17]  Leo L. Lui,et al.  Spatial and temporal frequency tuning in striate cortex: functional uniformity and specializations related to receptive field eccentricity , 2010, The European journal of neuroscience.

[18]  D. G. Albrecht,et al.  Striate cortex of monkey and cat: contrast response function. , 1982, Journal of neurophysiology.

[19]  D. Heeger,et al.  Neuronal basis of contrast discrimination , 1999, Vision Research.

[20]  E. Adrian,et al.  The impulses produced by sensory nerve‐endings , 1926 .

[21]  H. Barlow,et al.  Three factors limiting the reliable detection of light by retinal ganglion cells of the cat , 1969, The Journal of physiology.

[22]  D. Tolhurst,et al.  The effects of amplitude-spectrum statistics on foveal and peripheral discrimination of changes in natural images, and a multi-resolution model , 2005, Vision Research.

[23]  Iain D. Gilchrist,et al.  Perception of differences in natural-image stimuli: Why is peripheral viewing poorer than foveal? , 2009, TAP.

[24]  S. Stevens To Honor Fechner and Repeal His Law , 2008 .

[25]  H. Ross Weber Then and Now , 1995, Perception.

[26]  A. B. Bonds Role of Inhibition in the Specification of Orientation Selectivity of Cells in the Cat Striate Cortex , 1989, Visual Neuroscience.

[27]  Gordon E. Legge,et al.  A power law for perceived contrast in human vision , 1981, Vision Research.

[28]  J. Robson,et al.  Probability summation and regional variation in contrast sensitivity across the visual field , 1981, Vision Research.

[29]  Barry J. Richmond,et al.  Consistency of Encoding in Monkey Visual Cortex , 2001, The Journal of Neuroscience.

[30]  V. Mountcastle,et al.  NEURAL ACTIVITY IN MECHANORECEPTIVE CUTANEOUS AFFERENTS: STIMULUS-RESPONSE RELATIONS, WEBER FUNCTIONS, AND INFORMATION TRANSMISSION. , 1965, Journal of neurophysiology.

[31]  D. Tolhurst,et al.  Coding of the contrasts in natural images by populations of neurons in primary visual cortex (V1) , 2003, Vision Research.

[32]  J. M. Foley,et al.  Human luminance pattern-vision mechanisms: masking experiments require a new model. , 1994, Journal of the Optical Society of America. A, Optics, image science, and vision.

[33]  A. M. Rohaly,et al.  Object detection in natural backgrounds predicted by discrimination performance and models , 1997, Vision Research.

[34]  G. Orban,et al.  The response variability of striate cortical neurons in the behaving monkey , 2004, Experimental Brain Research.

[35]  Lorrin A. Riggs,et al.  Perception of suprathreshold stimuli during saccadic eye movement , 1982, Vision Research.

[36]  G Borg,et al.  The relation between neural and perceptual intensity: a comparative study on the neural and psychophysical response to taste stimuli , 1967, The Journal of physiology.

[37]  S. Treue,et al.  The response of neurons in areas V1 and MT of the alert rhesus monkey to moving random dot patterns , 2005, Experimental Brain Research.

[38]  A. Parker,et al.  Sense and the single neuron: probing the physiology of perception. , 1998, Annual review of neuroscience.

[39]  A. Watson,et al.  A standard model for foveal detection of spatial contrast. , 2005, Journal of vision.

[40]  J. Movshon,et al.  Nature and interaction of signals from the receptive field center and surround in macaque V1 neurons. , 2002, Journal of neurophysiology.

[41]  T. Meese Area summation and masking. , 2004, Journal of vision.

[42]  Christopher W Tyler,et al.  Separating the effects of response nonlinearity and internal noise psychophysically , 2002, Vision Research.

[43]  D. Tolhurst,et al.  Does a Bayesian model of V1 contrast coding offer a neurophysiological account of human contrast discrimination? , 2005, Vision Research.

[44]  K. Mullen The contrast sensitivity of human colour vision to red‐green and blue‐yellow chromatic gratings. , 1985, The Journal of physiology.

[45]  D. Heeger Normalization of cell responses in cat striate cortex , 1992, Visual Neuroscience.

[46]  D. G. Albrecht,et al.  Visual cortex neurons in monkeys and cats: Detection, discrimination, and identification , 1997, Visual Neuroscience.

[47]  C. Alejandro Párraga,et al.  Evaluation of a multiscale color model for visual difference prediction , 2006, TAP.

[48]  A B Watson,et al.  Efficiency of a model human image code. , 1987, Journal of the Optical Society of America. A, Optics and image science.

[49]  C. Enroth-Cugell,et al.  The contrast sensitivity of retinal ganglion cells of the cat , 1966, The Journal of physiology.

[50]  D. Tolhurst,et al.  On the variety of spatial frequency selectivities shown by neurons in area 17 of the cat , 1981, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[51]  R. F. Hess,et al.  The contrast sensitivity gradient across the human visual field: With emphasis on the low spatial frequency range , 1989, Vision Research.

[52]  Wilson S. Geisler,et al.  Visual cortex neurons in monkeys and cats , 1997 .

[53]  H. Ross,et al.  Sensorimotor mechanisms in weight discrimination , 1984, Perception & psychophysics.

[54]  E. Peli Contrast in complex images. , 1990, Journal of the Optical Society of America. A, Optics and image science.

[55]  J A Solomon,et al.  Model of visual contrast gain control and pattern masking. , 1997, Journal of the Optical Society of America. A, Optics, image science, and vision.

[56]  Mark W. Cannon,et al.  Contrast sensation: A linear function of stimulus contrast , 1979, Vision Research.

[57]  K. Mullen,et al.  Differential distributions of red–green and blue–yellow cone opponency across the visual field , 2002, Visual Neuroscience.

[58]  J. M. Foley,et al.  Contrast masking in human vision. , 1980, Journal of the Optical Society of America.

[59]  Robbe L. T. Goris,et al.  A neurophysiologically plausible population code model for human contrast discrimination. , 2009, Journal of vision.

[60]  Ronald A. Rensink,et al.  Change blindness: past, present, and future , 2005, Trends in Cognitive Sciences.

[61]  M. L. F. D. Mattiello,et al.  Suprathreshold contrast perception at different luminance levels , 1985, Vision Research.

[62]  D. Tolhurst,et al.  Calculating the contrasts that retinal ganglion cells and LGN neurones encounter in natural scenes , 2000, Vision Research.

[63]  A. Dean The variability of discharge of simple cells in the cat striate cortex , 2004, Experimental Brain Research.

[64]  John H. R. Maunsell,et al.  Coding of image contrast in central visual pathways of the macaque monkey , 1990, Vision Research.

[65]  B. Matthews The response of a single end organ , 1931, The Journal of physiology.

[66]  D. M. Green,et al.  Signal detection theory and psychophysics , 1966 .

[67]  D. Tolhurst,et al.  Accuracy of identification of grating contrast by human observers: Bayesian models of V1 contrast processing show correspondence between discrimination and identification performance , 2005, Vision Research.