Source confusion is a major cause of crowding.

The loss of positional information for whole letters is one of the most important factors contributing to impaired letter and word recognition. Here we study the quantitative characteristics of flanker confusions in a crowding paradigm and test whether transient spatial attention relieves the crowding effect by reducing flanker confusions. We examined the crowding effect at three eccentricities for a range of flanker distances and attentional cue sizes. The effects of flanker distance confirm earlier findings that errors of both content and position are highest with flankers close by. However, the cue has no effect on flanker confusions and affects content information only, by enhancing target contrast sensitivity independent of cue size. Confusions with the inward, but not the outward, flanker increase linearly with eccentricity. Inward-flanker confusions dominate unlike reported asymmetries for masking. Our results are a psychophysical counterpart to separate neural coding of what and where in pattern recognition. The dependencies of cue effect and confusions on flanker distance scale with eccentricity and can be described by a generalized Bouma critical-separation rule. That rule shows a formal analogy to M scaling, from which the critical crowding distances on a cortical map can be derived as a logarithmic function. The perceptual results are visualized in a "doughnut" model.

[1]  G Wolford,et al.  Lateral masking as a function of spacing , 1983, Perception & psychophysics.

[2]  Anirvan S. Nandy,et al.  Classification images with uncertainty. , 2006, Journal of vision.

[3]  H EHLERS,et al.  Clinical testing of visual acuity. , 1953, A.M.A. archives of ophthalmology.

[4]  R. Desimone,et al.  Neural mechanisms of selective visual attention. , 1995, Annual review of neuroscience.

[5]  Claus Bundesen,et al.  Visual Selective Attention: Outlines of a Choice Model, a Race Model and a Computational Theory , 1998 .

[6]  Marisa Carrasco,et al.  The effects of transient attention on spatial resolution and the size of the attentional cue , 2008, Perception & psychophysics.

[7]  John K. Tsotsos,et al.  Modeling Visual Attention via Selective Tuning , 1995, Artif. Intell..

[8]  L. Chalupa,et al.  The visual neurosciences , 2004 .

[9]  W. Estes,et al.  Serial position functions for letter identification at brief and extended exposure durations , 1976 .

[10]  I. Rentschler,et al.  Contrast thresholds for identification of numeric characters in direct and eccentric view , 1991, Perception & psychophysics.

[11]  K H Shum,et al.  Evidence for feature perturbations , 1980, Perception & psychophysics.

[12]  Lei Liu,et al.  Whole report uncovers correctly identified but incorrectly placed target information under visual crowding. , 2012, Journal of vision.

[13]  Hans Strasburger,et al.  Unfocussed spatial attention underlies the crowding effect in indirect form vision Generation , 2005 .

[14]  H Irtel PXL: a library for psychological experiments on IBM PC type computers. , 1997, Spatial vision.

[15]  E. Vogel,et al.  Sensory gain control (amplification) as a mechanism of selective attention: electrophysiological and neuroimaging evidence. , 1998, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[16]  J. Jonides Voluntary versus automatic control over the mind's eye's movement , 1981 .

[17]  Dennis M. Levi,et al.  Vernier acuity, crowding and amblyopia , 1985, Vision Research.

[18]  Dov Sagi,et al.  Configuration influence on crowding. , 2007, Journal of vision.

[19]  Lora T. Likova,et al.  Crowding: a neuroanalytic approach. , 2007, Journal of vision.

[20]  David LaBerge,et al.  Computational and anatomical models of selective attention in object identification. , 1995 .

[21]  Yury Petrov Locus of spatial attention determines inward - outward anisotropy in crowding , 2007 .

[22]  M. Bach,et al.  The Freiburg Visual Acuity test--automatic measurement of visual acuity. , 1996, Optometry and vision science : official publication of the American Academy of Optometry.

[23]  J. McCarley,et al.  On the relationship between flanker interference and localized attentional interference. , 2007, Acta psychologica.

[24]  D. Mumford,et al.  The role of the primary visual cortex in higher level vision , 1998, Vision Research.

[25]  M Jüttner,et al.  FORPXL--a Fortran interface to PXL, the Psychological Experiments Library. , 1997, Spatial vision.

[26]  D. Levi,et al.  The two-dimensional shape of spatial interaction zones in the parafovea , 1992, Vision Research.

[27]  Carol L. Krumhansl Naming and locating simultaneously and sequentially presented letters , 1977 .

[28]  M. Carrasco Visual attention: The past 25 years , 2011, Vision Research.

[29]  J. R. Mounts Evidence for suppressive mechanisms in attentional selection: Feature singletons produce inhibitory surrounds , 2000, Perception & psychophysics.

[30]  C. Eriksen,et al.  Some factors determining efficiency of selective attention. , 1970 .

[31]  G Chastain Task and contrast effects on performance with parafoval stimulus pairs , 1983, Psychological research.

[32]  Fang Fang,et al.  Crowding alters the spatial distribution of attention modulation in human primary visual cortex. , 2008, Journal of vision.

[33]  John K. Tsotsos Analyzing vision at the complexity level , 1990, Behavioral and Brain Sciences.

[34]  M. Bach,et al.  Raster-scan cathode-ray tubes for vision research--limits of resolution in space, time and intensity, and some solutions. , 1997, Spatial vision.

[35]  A. H. C. van der Heijden,et al.  Selective Attention in Vision , 1991 .

[36]  Jason S McCarley,et al.  Localized Attentional Interference Affects Object Individuation, Not Feature Detection , 2007, Perception.

[37]  Dov Sagi,et al.  How do flankers' relations affect crowding? , 2010, Journal of vision.

[38]  A. Huckauf,et al.  Spatial selection in peripheral letter recognition: in search of boundary conditions. , 2002, Acta psychologica.

[39]  J Saarinen,et al.  Perception of Positional Relationships between Line Segments in Eccentric Vision , 1987, Perception.

[40]  Gordon E. Legge,et al.  Precision of position signals for letters , 2009, Vision Research.

[41]  N. Kanwisher,et al.  Attention as inference: selection is probabilistic; responses are all-or-none samples. , 2009, Journal of experimental psychology. General.

[42]  Edward Vul,et al.  Quantifying error distributions in crowding. , 2013, Journal of vision.

[43]  D. Pelli,et al.  Crowding is unlike ordinary masking: distinguishing feature integration from detection. , 2004, Journal of vision.

[44]  S. Yantis,et al.  Abrupt visual onsets and selective attention: evidence from visual search. , 1984, Journal of experimental psychology. Human perception and performance.

[45]  C. Bundesen A theory of visual attention. , 1990, Psychological review.

[46]  S. McKee,et al.  The effect of spatial configuration on surround suppression of contrast sensitivity. , 2006, Journal of vision.

[47]  Patrick Cavanagh,et al.  Recovery of a crowded object by masking the flankers: determining the locus of feature integration. , 2009, Journal of vision.

[48]  D. Pelli Crowding: a cortical constraint on object recognition , 2008, Current Opinion in Neurobiology.

[49]  Y. Petrov,et al.  Crowding is directed to the fovea and preserves only feature contrast. , 2007, Journal of vision.

[50]  H. BOUMA,et al.  Interaction Effects in Parafoveal Letter Recognition , 1970, Nature.

[51]  L. O. Harvey,et al.  Efficient estimation of sensory thresholds with ML-PEST. , 1997, Spatial vision.

[52]  Carol L. Krumhansl,et al.  Effect of level of confusability on reporting letters from briefly presented visual displays , 1977 .

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

[54]  Bosco S. Tjan,et al.  What crowds a letter in the periphery , 2004 .

[55]  Leslie G. Ungerleider,et al.  ‘What’ and ‘where’ in the human brain , 1994, Current Opinion in Neurobiology.

[56]  M. Carrasco,et al.  Spatial covert attention increases contrast sensitivity across the CSF: support for signal enhancement , 2000, Vision Research.

[57]  Patrick Cavanagh,et al.  Non-retinotopic crowding , 2010 .

[58]  Lewis O. Harvey,et al.  Efficient estimation of sensory thresholds , 1986 .

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

[60]  Minami Ito,et al.  Columns for visual features of objects in monkey inferotemporal cortex , 1992, Nature.

[61]  Anirvan S. Nandy,et al.  The nature of letter crowding as revealed by first- and second-order classification images. , 2007, Journal of Vision.

[62]  H Strasburger,et al.  Contrast‐dependent Dissociation of Visual Recognition and Detection Fields , 1996, The European journal of neuroscience.

[63]  Ariella V. Popple,et al.  Crowding and surround suppression: not to be confused. , 2007, Journal of vision.

[64]  W. Estes,et al.  Effects of spaces on report from tachistoscopically presented letter strings , 1971 .

[65]  C. Eriksen,et al.  Temporal course of selective attention. , 1969, Journal of experimental psychology.

[66]  Susana T. L. Chung,et al.  Precision of local signs for letters in central and peripheral vision , 2010 .

[67]  I. Rentschler,et al.  Peripheral vision and pattern recognition: a review. , 2011, Journal of vision.

[68]  Denis G. Pelli,et al.  The visual filter mediating letter identification , 1994, Nature.

[69]  C. Eriksen,et al.  Selective attention: Noise suppression or signal enhancement? , 1974 .

[70]  Richard M Shiffrin,et al.  Mechanisms of source confusion and discounting in short-term priming 2: effects of prime similarity and target duration. , 2002, Journal of experimental psychology. Learning, memory, and cognition.

[71]  Rick Gurnsey,et al.  Crowding is size and eccentricity dependent. , 2011, Journal of vision.

[72]  G Wolford,et al.  Perturbation model for letter identification. , 1975, Psychological review.

[73]  G Chastain,et al.  Confusability and interference between members of parafoveal letter pairs , 1982, Perception & psychophysics.

[74]  M C FLOM,et al.  VISUAL RESOLUTION AND CONTOUR INTERACTION. , 1963, Journal of the Optical Society of America.

[75]  S. Dakin,et al.  The shape and size of crowding for moving targets , 2003, Vision Research.

[76]  K. Nakayama,et al.  Sustained and transient components of focal visual attention , 1989, Vision Research.

[77]  P. Cavanagh,et al.  Attentional resolution and the locus of visual awareness , 1996, Nature.

[78]  D. Levi Crowding—An essential bottleneck for object recognition: A mini-review , 2008, Vision Research.

[79]  H Strasburger,et al.  Invariance of the psychometric function for character recognition across the visual field , 2001, Perception & psychophysics.

[80]  R. Hess,et al.  Ladder contours are undetectable in the periphery: a crowding effect? , 2007, Journal of vision.

[81]  Holger Ehlers,et al.  V: THE MOVEMENTS OF THE EYES DURING READING , 1936 .

[82]  P. Robinson,et al.  Efficient Estimation of the , 2007 .

[83]  J. Wagner Experimentelle Beiträge zur Psychologie des Lesens , 1918 .

[84]  W. Korte,et al.  Über die Gestaltauffassung im indirekten Sehen , 1923 .

[85]  Michael L. Platt,et al.  What can developmental and comparative cognitive neuroscience tell us about the adult human brain? , 2009, Current Opinion in Neurobiology.

[86]  Jun-Yun Zhang,et al.  Legibility of Chinese characters in peripheral vision and the top-down influences on crowding , 2009, Vision Research.

[87]  H. Burian,et al.  A study of separation difficulty. Its relationship to visual acuity in normal and amblyopic eyes. , 1962, American journal of ophthalmology.

[88]  Nicolai Petkov,et al.  Suppression of contour perception by band-limited noise and its relation to nonclassical receptive field inhibition , 2003, Biological cybernetics.

[89]  John K. Tsotsos,et al.  Saliency, attention, and visual search: an information theoretic approach. , 2009, Journal of vision.

[90]  Y. Yeshurun,et al.  Precueing attention to the target location diminishes crowding and reduces the critical distance. , 2010, Journal of vision.

[91]  S. Grossberg,et al.  15 – COMPUTATIONAL THEORIES OF VISUAL PERCEPTION , 1990 .

[92]  Frans W Cornelissen,et al.  On the generality of crowding: visual crowding in size, saturation, and hue compared to orientation. , 2007, Journal of vision.

[93]  Leslie G. Ungerleider Two cortical visual systems , 1982 .

[94]  N. Mackworth Visual noise causes tunnel vision , 1965 .

[95]  Y. Saalmann,et al.  Gain control in the visual thalamus during perception and cognition , 2009, Current Opinion in Neurobiology.

[96]  John K. Tsotsos,et al.  The selective tuning model of attention: psychophysical evidence for a suppressive annulus around an attended item , 2003, Vision Research.

[97]  W. Schneider,et al.  Space-based visual attention models and object selection: Constraints, problems, and possible solutions , 1993, Psychological research.