Cortical Magnification, Scale Invariance and Visual Ecology

The visual world of an organism can be idealized as a sphere. Locomotion towards the pole causes translation of retinal images that is proportional to the sine of eccentricity of each object. In order to estimate the human striate cortical magnification factor M, we assumed that the cortical translations, caused by retinal translations due to the locomotion, were independent of eccentricity. This estimate of M agrees with previous data on magnifications, visual thresholds and acuities across the visual field. It also results in scale invariance in which the resolution of objects anywhere in the visual field outside the fixated point is about the same for any viewing distance. Locomotion seems to be a possible determinant in the evolution of the visual system and the brain.

[1]  D C Van Essen,et al.  Information processing in the primate visual system: an integrated systems perspective. , 1992, Science.

[2]  J. Rovamo,et al.  Isotropy of cortical magnification and topography of striate cortex , 1984, Vision Research.

[3]  O. Grüsser.  Migraine phosphenes and the retino-cortical magnification factor , 1995, Vision Research.

[4]  D. Whitteridge,et al.  The representation of the visual field on the cerebral cortex in monkeys , 1961, The Journal of physiology.

[5]  W. H. Miller,et al.  Comparative Physiology and Evolution of Vision in Invertebrates , 2011, Handbook of Sensory Physiology.

[6]  R. Wurtz,et al.  Response of monkey MST neurons to optic flow stimuli with shifted centers of motion , 1995, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[7]  A. Cowey,et al.  Preferential representation of the fovea in the primary visual cortex , 1993, Nature.

[8]  M. J. Wright,et al.  Lower threshold of motion for one and two dimensional patterns in central and peripheral vision , 1992, Vision Research.

[9]  T. Albright.  Centrifugal directional bias in the middle temporal visual area (MT) of the macaque , 1989, Visual Neuroscience.

[10]  Jan J. Koenderink,et al.  Detection of first-order structure in optic flow fields , 1996, Vision Research.

[11]  Daniel J. Hannon,et al.  Direction of self-motion is perceived from optical flow , 1988, Nature.

[12]  R Gattass,et al.  Visual topography of V1 in the Cebus monkey , 1987, The Journal of comparative neurology.

[13]  Eric L. Schwartz,et al.  Computational anatomy and functional architecture of striate cortex: A spatial mapping approach to perceptual coding , 1980, Vision Research.

[14]  George Adrian Horridge,et al.  What can engineers learn from insect vision? , 1992, Proceedings of IEEE Systems Man and Cybernetics Conference - SMC.

[15]  Hanspeter A. Mallot,et al.  Neural mapping and space-variant image processing , 1990, Neural Networks.

[16]  D. Burr,et al.  Two stages of visual processing for radial and circular motion , 1995, Nature.

[17]  George Adrian Horridge.  What can engineers learn from insect vision , 1992 .

[18]  J. Horton,et al.  The representation of the visual field in human striate cortex. A revision of the classic Holmes map. , 1991, Archives of ophthalmology.

[19]  A. Johnston,et al.  Lower thresholds of motion for gratings as a function of eccentricity and contrast , 1985, Vision Research.

[20]  Eli Brenner,et al.  Humans combine the optic flow with static depth cues for robust perception of heading , 1994, Vision Research.

[21]  John H. R. Maunsell,et al.  The visual field representation in striate cortex of the macaque monkey: Asymmetries, anisotropies, and individual variability , 1984, Vision Research.

[22]  C. Curcio,et al.  Packing geometry of human cone photoreceptors: variation with eccentricity and evidence for local anisotropy. , 1992, Visual neuroscience.

[23]  M. Graziano,et al.  Tuning of MST neurons to spiral motions , 1994, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[24]  R. Wehner.  Spatial Vision in Arthropods , 1981 .

[25]  David Williams.  Aliasing in human foveal vision , 1985, Vision Research.

[26]  S. Zeki,et al.  The cerebral activity related to the visual perception of forward motion in depth. , 1994, Brain : a journal of neurology.

[27]  M. J. Wright,et al.  Visual motion and cortical velocity , 1983, Nature.

[28]  M. J. Wright,et al.  The relationship of displacement thresholds for oscillating gratings to cortical magnification, spatiotemporal frequency and contrast , 1985, Vision Research.

[29]  L. Ling,et al.  Magnification factors and the organization of the human striate cortex. , 1988, Human neurobiology.

[30]  A. Hughes.  The Topography of Vision in Mammals of Contrasting Life Style: Comparative Optics and Retinal Organisation , 1977 .

[31]  A. Johnston.  The geometry of the topographic map in striate cortex , 1989, Vision Research.

[32]  Hanspeter A. Mallot,et al.  Neural mapping and space-variant image processing , 1990, 1990 IJCNN International Joint Conference on Neural Networks.

[33]  A. Johnston.  A spatial property of the retino-cortical mapping. , 1986, Spatial vision.

[34]  C. A. Dvorak,et al.  The Visual System in Vertebrates , 1977, Handbook of Sensory Physiology.

[35]  J W Belliveau,et al.  Borders of multiple visual areas in humans revealed by functional magnetic resonance imaging. , 1995, Science.

[36]  Walsh,et al.  Limits of Vision , 1991 .

[37]  E. Switkes,et al.  Functional anatomy of macaque striate cortex. III. Color , 1988, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[38]  T Wertheim,et al.  Peripheral visual acuity: Th. Wertheim. , 1980, American journal of optometry and physiological optics.

[39]  D. Hubel,et al.  Uniformity of monkey striate cortex: A parallel relationship between field size, scatter, and magnification factor , 1974, The Journal of comparative neurology.

[40]  S. Klein,et al.  Vernier acuity, crowding and cortical magnification , 1985, Vision Research.

[41]  M. Sanders.  Handbook of Sensory Physiology , 1975 .

[42]  R. Andersen,et al.  Functional analysis of human MT and related visual cortical areas using magnetic resonance imaging , 1995, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[43]  D Regan,et al.  Visually guided locomotion: psychophysical evidence for a neural mechanism sensitive to flow patterns. , 1979, Science.

[44]  D. Whitteridge.  Projection of Optic Pathways to the Visual Cortex , 1973 .

[45]  D Regan,et al.  How do we avoid confounding the direction we are looking and the direction we are moving? , 1982, Science.

[46]  J. Rovamo,et al.  Temporal contrast sensitivity and cortical magnification , 1982, Vision Research.

[47]  E. Switkes,et al.  Functional anatomy of macaque striate cortex. II. Retinotopic organization , 1988, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[48]  R. Hetherington.  The Perception of the Visual World , 1952 .

[49]  N. Drasdo.  The neural representation of visual space , 1977, Nature.

[50]  B. Boycott,et al.  Retinal ganglion cell density and cortical magnification factor in the primate , 1990, Vision Research.

[51]  L L SLOAN,et al.  Peripheral visual acuity with special reference to scotopic illumination. , 1947, American journal of ophthalmology.

[52]  H Strasburger,et al.  Cortical Magnification Theory Fails to Predict Visual Recognition , 1994, The European journal of neuroscience.

[53]  Maynard C. Wheeler,et al.  VISUAL ACUITY WITHIN THE AREA CENTRALIS AND ITS RELATION TO EYE MOVEMENTS AND FIXATION , 1928 .

[54]  J. Rauschecker,et al.  Centrifugal organization of direction preferences in the cat's lateral suprasylvian visual cortex and its relation to flow field processing , 1987, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[55]  D. Whitteridge,et al.  Visual Centers in the Brain , 1973, Handbook of Sensory Physiology.

[56]  Christine A. Curcio,et al.  The spatial resolution capacity of human foveal retina , 1989, Vision Research.

[57]  R Näsänen,et al.  Cortical magnification and peripheral vision. , 1987, Journal of the Optical Society of America. A, Optics and image science.