An analysis of stereo disparity for the recovery of three-dimensional scene geometry

The recovery of three-dimensional scene geometry from binocular stereo disparity is discussed. In order to accomplish this goal an analysis of disparity is presented. The analysis makes explicit the geometric relations between a stereo disparity field and a differentially projected scene. These results show how it is possible to recover scene properties, such as relative surface depth and orientation, in a direct fashion from stereo disparity. As a particular application of the analysis, a method for recovering the discontinuities of surfaces from stereo disparity is presented. The results of applying this method to both natural and synthetic binocular stereo disparity information are also presented.<<ETX>>

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

[2]  W F Clocksin,et al.  Perception of Surface Slant and Edge Labels from Optical Flow: A Computational Approach , 1980, Perception.

[3]  Andrew Blake,et al.  Visual Reconstruction , 1987, Deep Learning for EEG-Based Brain–Computer Interfaces.

[4]  David Lee,et al.  One-Dimensional Regularization with Discontinuities , 1988, IEEE Trans. Pattern Anal. Mach. Intell..

[5]  A. Waxman,et al.  Using disparity functional for stereo correspondence and surface reconstruction , 1987 .

[6]  William B. Thompson,et al.  Analysis of Accretion and Deletion at Boundaries in Dynamic Scenes , 1984, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[7]  J. Marroquín Surface Reconstruction Preserving Discontinuities , 1984 .

[8]  Demetri Terzopoulos,et al.  Regularization of Inverse Visual Problems Involving Discontinuities , 1986, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[9]  H. C. Longuet-Higgins,et al.  The interpretation of a moving retinal image , 1980, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[10]  W. Eric L. Grimson,et al.  Discontinuity detection for visual surface reconstruction , 1985, Comput. Vis. Graph. Image Process..

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

[12]  Berthold K. P. Horn,et al.  Closed-form solution of absolute orientation using unit quaternions , 1987 .

[13]  Valdis Berzins,et al.  Edge Detection in Optical Flow Fields , 1982, AAAI.

[14]  D. Weinshall Qualitative Depth and Shape from Stereo, in Agreement with Psychophysical Evidence , 1987 .

[15]  W. W. Daniel Applied Nonparametric Statistics , 1979 .

[16]  Martin A. Fischler,et al.  Computational Stereo , 1982, CSUR.

[17]  Allen M. Waxman,et al.  Surface Structure and Three-Dimensional Motion from Image Flow Kinematics , 1985 .