Stereoacuity in the periphery is limited by internal noise.

It is well-established that depth discrimination is finer in the fovea than the periphery. Here, we study the decline in depth discrimination thresholds with distance from the fovea using an equivalent noise analysis to separate the contributions of internal noise and sampling efficiency. Observers discriminated the mean depth of patches of "dead leaves" composed of ellipses varying in size, orientation, and luminance at varying levels of disparity noise between 0.05 and 13.56 arcmin and visual field locations between 0° and 9° eccentricity. At low levels of disparity noise, depth discrimination thresholds were lower in the fovea than in the periphery. At higher noise levels (above 3.39 arcmin), thresholds converged, and there was little difference between foveal and peripheral depth discrimination. The parameters estimated from the equivalent noise model indicate that an increase in internal noise is the limiting factor in peripheral depth discrimination with no decline in sampling efficiency. Sampling efficiency was uniformly low across the visual field. The results indicate that a loss of precision of local disparity estimates early in visual processing limits fine depth discrimination in the periphery.

[1]  K N OGLE,et al.  Stereoscopic vision and the duration of the stimulus. , 1958, A.M.A. archives of ophthalmology.

[2]  Steven C Dakin,et al.  An oblique effect for local motion: psychophysics and natural movie statistics. , 2005, Journal of vision.

[3]  R. Allard,et al.  Same calculation efficiency but different internal noise for luminance- and contrast-modulated stimuli detection. , 2006, Journal of vision.

[4]  P. O. Bishop,et al.  Binocular single vision and depth discrimination. Receptive field disparities for central and peripheral vision and binocular interaction on peripheral single units in cat striate cortex , 2006, Experimental Brain Research.

[5]  L. Cormack,et al.  Interocular correlation, luminance contrast and cyclopean processing , 1991, Vision Research.

[6]  D H Brainard,et al.  The Psychophysics Toolbox. , 1997, Spatial vision.

[7]  B. Dosher,et al.  Characterizing human perceptual inefficiencies with equivalent internal noise. , 1999, Journal of the Optical Society of America. A, Optics, image science, and vision.

[8]  A. Parker,et al.  Range and mechanism of encoding of horizontal disparity in macaque V1. , 2002, Journal of neurophysiology.

[9]  Christopher W. Tyler,et al.  Binocular cross-correlation in time and space , 1978, Vision Research.

[10]  S. Sherman,et al.  Receptive-field characteristics of neurons in cat striate cortex: Changes with visual field eccentricity. , 1976, Journal of neurophysiology.

[11]  J. Cass,et al.  Dissociable effects of attention and crowding on orientation averaging. , 2009, Journal of vision.

[12]  H J Howard,et al.  A Test for the Judgment of Distance. , 1919, Transactions of the American Ophthalmological Society.

[13]  Allan W. Snyder Hyperacuity and interpolation by the visual pathways , 1982, Vision Research.

[14]  S P McKee,et al.  Stereogram design for testing local stereopsis. , 1980, Investigative ophthalmology & visual science.

[15]  T Shipley,et al.  Stereoscopic acuity and horizontal angular distance from fixation. , 1969, Journal of the Optical Society of America.

[16]  K Nakayama,et al.  Experiencing and perceiving visual surfaces. , 1992, Science.

[17]  J. Rovamo,et al.  Cortical magnification factor predicts the photopic contrast sensitivity of peripheral vision , 1978, Nature.

[18]  C. Curcio,et al.  Topography of ganglion cells in human retina , 1990, The Journal of comparative neurology.

[19]  G Westheimer,et al.  Editorial: Visual acuity and hyperacuity. , 1975, Investigative ophthalmology.

[20]  David J. Fleet,et al.  Neural encoding of binocular disparity: Energy models, position shifts and phase shifts , 1996, Vision Research.

[21]  W. Charman,et al.  Off-axis image quality in the human eye , 1981, Vision Research.

[22]  Dennis M. Levi,et al.  Visibility, luminance and vernier acuity , 1993, Vision Research.

[23]  Lawrence K. Cormack,et al.  Hyperacuity, superresolution and gap resolution in human stereopsis , 1989, Vision Research.

[24]  A. Hendrickson,et al.  Human photoreceptor topography , 1990, The Journal of comparative neurology.

[25]  Yang Liu,et al.  Disparity statistics in natural scenes. , 2008, Journal of vision.

[26]  Daniel L. Ruderman,et al.  Origins of scaling in natural images , 1996, Vision Research.

[27]  Eero P. Simoncelli,et al.  On Advances in Statistical Modeling of Natural Images , 2004, Journal of Mathematical Imaging and Vision.

[28]  Steven C. Dakin,et al.  Local and global limitations on direction integration assessed using equivalent noise analysis , 2005, Vision Research.

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

[30]  D G Pelli,et al.  The VideoToolbox software for visual psychophysics: transforming numbers into movies. , 1997, Spatial vision.

[31]  Joshua A Solomon,et al.  Visual discrimination of orientation statistics in crowded and uncrowded arrays. , 2010, Journal of vision.

[32]  R. Harwerth,et al.  Stereopsis, spatial frequency and retinal eccentricity , 1995, Vision Research.

[33]  G. Westheimer,et al.  Cooperative neural processes involved in stereoscopic acuity , 1979, Experimental Brain Research.

[34]  S. McKee,et al.  Stereoscopic acuity with defocused and spatially filtered retinal images , 1980 .

[35]  Aapo Hyvärinen,et al.  Spatial dependencies between local luminance and contrast in natural images. , 2008, Journal of vision.

[36]  S. McKee,et al.  Stereo matching precedes dichoptic masking , 1994, Vision Research.

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

[38]  J. Rovamo,et al.  Visual resolution, contrast sensitivity, and the cortical magnification factor , 2004, Experimental Brain Research.

[39]  David Alais,et al.  Breaking camouflage: binocular disparity reduces contrast masking in natural images. , 2010, Journal of vision.

[40]  J. S. Wright,et al.  The oblique effect in orientation acuity , 1997, Vision Research.

[41]  Ann B. Lee Occlusion Models for Natural Images : A Statistical Study of a Scale-Invariant Dead Leaves Model , 2001 .

[42]  Andriana Olmos,et al.  A biologically inspired algorithm for the recovery of shading and reflectance images , 2004 .

[43]  G. Westheimer,et al.  Effects of practice and the separation of test targets on foveal and peripheral stereoacuity , 1983, Vision Research.

[44]  H. Barlow Retinal noise and absolute threshold. , 1956, Journal of the Optical Society of America.

[45]  S. McKee,et al.  What prior uniocular processing is necessary for stereopsis? , 1979, Investigative ophthalmology & visual science.

[46]  Dennis M. Levi,et al.  Spatial scale shifts in peripheral vernier acuity , 1994, Vision Research.

[47]  A. T. Smith,et al.  Estimating receptive field size from fMRI data in human striate and extrastriate visual cortex. , 2001, Cerebral cortex.

[48]  Suzanne P. McKee,et al.  The spatial requirements for fine stereoacuity , 1983, Vision Research.

[49]  A. Parker,et al.  Spatial properties of disparity pooling in human stereo vision , 1989, Vision Research.

[50]  C. Blakemore The range and scope of binocular depth discrimination in man , 1970, The Journal of physiology.

[51]  A. Parker,et al.  Efficiency of stereopsis in random-dot stereograms. , 1992, Journal of the Optical Society of America. A, Optics and image science.

[52]  S. Dakin,et al.  Local motion processing limits fine direction discrimination in the periphery , 2008, Vision Research.

[53]  B. Julesz Foundations of Cyclopean Perception , 1971 .

[54]  Michael S. Langer,et al.  Surface Visibility Probabilities in 3D Cluttered Scenes , 2008, ECCV.