Testing the horizontal-vertical stereo anisotropy with the critical-band masking paradigm.

Stereo vision has a well-known anisotropy: At low frequencies, horizontally oriented sinusoidal depth corrugations are easier to detect than vertically oriented corrugations (both defined by horizontal disparities). Previously, Serrano-Pedraza and Read (2010) suggested that this stereo anisotropy may arise because the stereo system uses multiple spatial-frequency disparity channels for detecting horizontally oriented modulations but only one for vertically oriented modulations. Here, we tested this hypothesis using the critical-band masking paradigm. In the first experiment, we measured disparity thresholds for horizontal and vertical sinusoids near the peak of the disparity sensitivity function (0.4 cycles/°), in the presence of either broadband or notched noise. We fitted the power-masking model to our results assuming a channel centered on 0.4 cycles/°. The estimated channel bandwidths were 2.95 octaves for horizontal and 2.62 octaves for vertical corrugations. In our second experiment we measured disparity thresholds for horizontal and vertical sinusoids of 0.1 cycles/° in the presence of band-pass noise centered on 0.4 cycles/° with a bandwidth of 0.5 octaves. This mask had only a small effect on the disparity thresholds, for either horizontal or vertical corrugations. We simulated the detection thresholds using the power-masking model with the parameters obtained in the first experiment and assuming either single-channel and multiple-channel detection. The multiple-channel model predicted the thresholds much better for both horizontal and vertical corrugations. We conclude that the human stereo system must contain multiple independent disparity channels for detecting horizontally oriented and vertically oriented depth modulations.

[1]  John A. Nelder,et al.  A Simplex Method for Function Minimization , 1965, Comput. J..

[2]  Denis G. Pelli,et al.  ECVP '07 Abstracts , 2007, Perception.

[3]  P. King-Smith,et al.  Efficient and unbiased modifications of the QUEST threshold method: Theory, simulations, experimental evaluation and practical implementation , 1994, Vision Research.

[4]  E. Owens,et al.  An Introduction to the Psychology of Hearing , 1997 .

[5]  B. Rogers,et al.  Similarities between motion parallax and stereopsis in human depth perception , 1982, Vision Research.

[6]  A Pentland,et al.  Maximum likelihood estimation: The best PEST , 1980, Perception & psychophysics.

[7]  B. Treutwein.  Adaptive psychophysical procedures , 1995, Vision Research.

[8]  Marisa Carrasco,et al.  Covert attention enhances letter identification without affecting channel tuning. , 2004, Journal of vision.

[9]  R. Patterson.  Auditory filter shapes derived with noise stimuli. , 1976, The Journal of the Acoustical Society of America.

[10]  Ignacio Serrano-Pedraza,et al.  Power spectrum model of visual masking: simulations and empirical data. , 2013, Journal of the Optical Society of America. A, Optics, image science, and vision.

[11]  Ignacio Serrano-Pedraza,et al.  Multiple channels for horizontal, but only one for vertical corrugations? A new look at the stereo anisotropy. , 2010, Journal of vision.

[12]  Mark F. Bradshaw,et al.  Sensitivity to horizontal and vertical corrugations defined by binocular disparity , 1999, Vision Research.

[13]  C. Tyler.  Stereoscopic Tilt and Size Aftereffects , 1975 .

[14]  Alan B. Cobo-Lewis,et al.  Selectivity of cyclopean masking for the spatial frequency of binocular disparity modulation , 1994, Vision Research.

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

[16]  Andrew J. Anderson,et al.  Utility of a dynamic termination criterion in the ZEST adaptive threshold method , 2003, Vision Research.

[17]  Barbara Gillam,et al.  Perspective, Orientation Disparity, and Anisotropy in Stereoscopic Slant Perception , 1992, Perception.

[18]  D. Pelli,et al.  The role of spatial frequency channels in letter identification , 2002, Vision Research.

[19]  B. Rogers,et al.  Anisotropies in the perception of stereoscopic surfaces: The role of orientation disparity , 1993, Vision Research.

[20]  S. McKee,et al.  Mechanisms underlying the anisotropy of stereoscopic tilt perception , 1990, Vision Research.

[21]  Keith Langley,et al.  Surface orientation, modulation frequency and the detection and perception of depth defined by binocular disparity and motion parallax , 2006, Vision Research.

[22]  B. Rogers,et al.  The stereoscopic anisotropy: individual differences and underlying mechanisms. , 2002, Journal of experimental psychology. Human perception and performance.

[23]  J A Solomon,et al.  Channel selection with non-white-noise masks. , 2000, Journal of the Optical Society of America. A, Optics, image science, and vision.

[24]  D. Burr,et al.  Feature detection in human vision: a phase-dependent energy model , 1988, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[25]  R. Patterson,et al.  Off-frequency listening and auditory-filter asymmetry. , 1980, The Journal of the Acoustical Society of America.

[26]  Eugene R. Folk.  Vergence Eye Movements: Basic and Clinical Aspects , 1984 .

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

[28]  Christopher W. Tyler,et al.  Sensory processing of binocular disparity , 1983 .

[29]  Michael S. Landy,et al.  Inconsistent channel bandwidth estimates suggest winner-take-all nonlinearity in second-order vision , 2013, Vision Research.

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

[31]  Michael S. Landy,et al.  Nonadditivity of masking by narrow-band noises , 1991, Vision Research.

[32]  W. Root,et al.  An introduction to the theory of random signals and noise , 1958 .

[33]  J. Robson,et al.  Discrimination at threshold: Labelled detectors in human vision , 1981, Vision Research.

[34]  Ignacio Serrano-Pedraza,et al.  Stereo vision requires an explicit encoding of vertical disparity. , 2009, Journal of vision.

[35]  Robert F. Hess,et al.  Mechanisms underlying global stereopsis in fovea and periphery , 2013, Vision Research.

[36]  I. Serrano-Pedraza,et al.  The Effect of White-Noise Mask Level on Sinewave Contrast Detection Thresholds and the Critical-Band-Masking Model , 2006, The Spanish Journal of Psychology.

[37]  Jeffrey Spivak.  A Cyclopean Vision , 2010 .

[38]  R. Schumer,et al.  Independent stereoscopic channels for different extents of spatial pooling , 1979, Vision Research.

[39]  K. Mullen,et al.  Color and luminance spatial tuning estimated by noise masking in the absence of off-frequency looking. , 1995, Journal of the Optical Society of America. A, Optics, image science, and vision.

[40]  Hermann Wagner,et al.  Disparity sensitivity in man and owl: Psychophysical evidence for equivalent perception of shape-from-stereo. , 2011, Journal of vision.

[41]  P L Emerson,et al.  Observations on maximum-likelihood and Bayesian methods of forced-choice sequential threshold estimation , 1986, Perception & psychophysics.