The Discriminability of Smooth Stereoscopic Surfaces

In this study the sensitivity of human vision to the smoothness of stereoscopic surface structure was investigated. In experiments 1 and 2 random-dot stereograms were used to evaluate the discrimination of smooth versus ‘noisy’ sinusoidal surfaces differing in the percentages of points on a single smooth surface. Fully coherent smooth surfaces were found to be much more discriminable than other less smooth randomly perturbed surfaces. In experiment 3 the discrimination between discontinuous triangle-wave surfaces and similarly shaped smoothly curved surfaces obtained from the addition of the fundamental and the third harmonic of the corresponding triangle-wave surface was evaluated. The triangle-wave surfaces were found to be more accurately discriminated from the smoothly curved surfaces than would be predicted from the detectability of the difference in their Fourier power spectra. This superior discriminability was attributed to differences between the curvature and/or discontinuity of the two surfaces. In experiment 3 the effects of incoherent ‘noise’ points on the discrimination between the two surface types were also evaluated. These randomly positioned noise points had a relatively small effect on the discrimination between the two surfaces. In general, the results of these experiments indicate that smooth surfaces are salient for stereopsis and that isolated local violations of smoothness are highly discriminable.

[1]  Steven W. Zucker,et al.  The computational connection in vision: Early orientation selection , 1986 .

[2]  C. WILLIAM TYLER,et al.  Depth perception in disparity gratings , 1974, Nature.

[3]  J S Lappin,et al.  Detection of three-dimensional structure in moving optical patterns. , 1984, Journal of experimental psychology. Human perception and performance.

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

[5]  Allen Brookes,et al.  Integrating stereopsis with monocular interpretations of planar surfaces , 1988, Vision Research.

[6]  Steven W. Zucker,et al.  From orientation selection to optical flow , 1987, Comput. Vis. Graph. Image Process..

[7]  T. Poggio,et al.  The analysis of stereopsis. , 1984, Annual review of neuroscience.

[8]  Andrea J. van Doorn,et al.  Invariant Properties of the Motion Parallax Field due to the Movement of Rigid Bodies Relative to an Observer , 1975 .

[9]  G. Westheimer.  Spatial interaction in the domain of disparity signals in human stereoscopic vision. , 1986, The Journal of physiology.

[10]  W. Uttal.  The perception of dotted forms , 1987 .

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

[12]  G. Sperling.  Binocular Vision: A Physical and a Neural Theory , 1970 .

[13]  G Westheimer,et al.  Panum’s phenomenon and the confluence of signals from the two eyes in stereoscopy , 1986, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[14]  B Gillam,et al.  Evidence for disparity change as the primary stimulus for stereoscopic processing , 1984, Perception & psychophysics.

[15]  T. Poggio,et al.  A computational theory of human stereo vision , 1979, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[16]  B. Rogers,et al.  Disparity curvature and the perception of three-dimensional surfaces , 1989, Nature.

[17]  J I Nelson,et al.  Globality and stereoscopic fusion in binocular vision. , 1975, Journal of theoretical biology.

[18]  S W Zucker,et al.  Sensitivity to corners in flow patterns. , 1987, Spatial vision.

[19]  Jan J. Koenderink,et al.  Local structure of movement parallax of the plane , 1976 .

[20]  G. J. Mitchison,et al.  The resolution of ambiguous stereoscopic matches by interpolation , 1987, Vision Research.

[21]  G. J. Mitchison,et al.  Interpolation and the detection of fine structure in stereoscopic matching , 1987, Vision Research.

[22]  Demetri Terzopoulos,et al.  The Computation of Visible-Surface Representations , 1988, IEEE Trans. Pattern Anal. Mach. Intell..

[23]  W R Uttal,et al.  The reconstruction of static visual forms from sparse dotted samples , 1988, Perception & psychophysics.

[24]  Steven W. Zucker,et al.  Two Stages of Curve Detection Suggest Two Styles of Visual Computation , 1989, Neural Computation.

[25]  B Gillam,et al.  Postfusional latency in stereoscopic slant perception and the primitives of stereopsis. , 1988, Journal of experimental psychology. Human perception and performance.

[26]  John E. W. Mayhew,et al.  Psychophysical and Computational Studies Towards a Theory of Human Stereopsis , 1981, Artif. Intell..

[27]  J S Lappin,et al.  Minimal conditions for the visual detection of structure and motion in three dimensions. , 1980, Science.

[28]  D Marr,et al.  A computational theory of human stereo vision. , 1979, Proceedings of the Royal Society of London. Series B, Biological sciences.

[29]  J. E. W. Mayhew,et al.  A computational model of binocular depth perception , 1982, Nature.

[30]  C. Tyler.  Spatial organization of binocular disparity sensitivity , 1975, Vision Research.