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Stereoscopic occlusion junctions

Abstract

Portions of surfaces in a binocularly viewed scene may be 'half occluded', that is, visible in only one eye. The human visual system uses zones of half occlusion to help segment the visual scene and infer figure–ground relationships at object boundaries. We developed a quantitative model of the depth-discontinuity cue provided by half occlusion. Half occlusions are revealed by two-dimensional interocular displacements of binocularly viewed occlusion junctions, such as T junctions. We derived a formula relating this two-dimensional displacement, or 'pseudodisparity', to binocular disparities and orientations of occluding and occluded contours. In human psychophysical experiments, perceived depth and contour orientation quantitatively depended on pseudodisparity, as predicted by our model, implying that the visual system senses quantitative variations in interocular junction position to reconstruct occlusion geometry.

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Figure 1: A stereopair of a natural scene containing a large number of occlusion junctions.
Figure 2: Examples of stereoscopic half-occlusion junctions. For ease of fusion, the center column presents the left eye view and the side columns present the right eye view.
Figure 3: Geometrical abstraction of a stereoscopic occlusion junction.
Figure 4: Experimental results. Scatter plots of perceived orientation versus predicted orientation of subjective contours for two observers assessing disparity and orientation for the I-junction stimulus from Fig. 2c (see Methods).

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References

  1. Wolf, P. R. Elements of Photogrammetry (McGraw-Hill, New York, 1974).

    Google Scholar 

  2. Wheatstone, C. Contributions to the physiology of vision: On some remarkable, and hitherto unobserved phenomena of binocular vision. Phil. Trans. R. Soc. Lond. 128, 371–394 (1838).

  3. Von Helmholtz, H. Treatise on Physiological Optics 3rd edn. Vol. 3 (ed. Southall, J. P.) (Optical Society of America, Rochester, 1925).

    Google Scholar 

  4. Ogle, K. N. Researches in Binocular Vision (Saunders, Philadelphia, 1950).

    Google Scholar 

  5. Mayhew, J. E. & Longuet-higgins, H. C. A computational model of binocular depth perception. Nature 297, 376–378 (1982).

    Article  CAS  Google Scholar 

  6. Rogers, B. J. & Bradshaw, M. F. Vertical disparities, differential perspective and binocular stereopsis. Nature 361, 253–255 (1993).

    Article  CAS  Google Scholar 

  7. Belhumeur, P. N. & Mumford, D. in Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 506–512 (IEEE Computer Society, Washington DC, 1992).

    Google Scholar 

  8. Lawson, R. B. & Gulick, W. L. Stereopsis and anomalous contour. Vision Res. 7, 271–297 (1967).

    Article  CAS  Google Scholar 

  9. Gillam, B. & Borsting, E. The role of monocular regions in stereoscopic displays. Perception 17, 603–608 (1988).

    Article  CAS  Google Scholar 

  10. Nakayama, K. & Shimojo, S. Da Vinci stereopsis: Depth and subjective occluding contours from unpaired image points. Vision Res. 30, 1811–1825 (1990).

    Article  CAS  Google Scholar 

  11. Anderson, B. L. & Nakayama, K. Toward a general theory of stereopsis: Binocular matching, occluding contours, and fusion. Psychol. Rev. 101, 414– 445 (1994).

    Article  CAS  Google Scholar 

  12. Gillam, B., Blackburn, S. & Nakayama, K. Stereopsis based on monocular gaps: Metrical encoding of depth and slant without matching contours. Vision Res. 39, 493–502 (1999).

    Article  CAS  Google Scholar 

  13. Anderson, B. L. The role of partial occlusion in stereopsis. Nature 367, 365–368 (1994).

    Article  CAS  Google Scholar 

  14. Anderson, B. L. & Julesz, B. A theoretical analysis of illusory contour formation in stereopsis. Psychol. Rev. 102, 705–743 (1995).

    Article  Google Scholar 

  15. Huffman, D. A. Impossible objects as nonsense sentences. Mach. Intell. 6, 295–323 (1971).

    Google Scholar 

  16. Clowes, M. B. On seeing things. Artif. Intell. 2, 79– 116 (1971).

    Article  Google Scholar 

  17. Malik, J. Interpreting line drawings of curved objects. Int. J. Comput. Vision 1, 73–103 (1987).

    Article  Google Scholar 

  18. Blakemore, C., Fiorentini, A. & Maffei, L. A second neural mechanism of binocular depth discrimination. J. Physiol. (Lond.) 226, 725– 749 (1972).

    Article  CAS  Google Scholar 

  19. Kanizsa, G. Organization in Vision. Essays on Gestalt Perception (Praeger, New York, 1979).

  20. Von der Heydt, R. & Peterhans, E. Mechanisms of contour perception in monkey visual cortex: I. Lines of pattern discontinuity. J. Neurosci. 9, 1731–1748 (1989).

    Article  CAS  Google Scholar 

  21. Morgan, M. J. & Castet, E. The aperture problem in stereopsis. Vision Res. 39, 2737–2744 (1997).

    Article  Google Scholar 

  22. Hibbard, P. B. & Langley, K. Plaid slant and inclination thresholds can be predicted from components. Vision Res. 38, 1073–1084 (1998).

    Article  CAS  Google Scholar 

  23. Farell, B. Two-dimensional matches from one-dimensional stimulus components in human stereopsis. Nature 395, 689– 693 (1998).

    Article  CAS  Google Scholar 

  24. DeAngelis, G. C., Ohzawa, I. & Freeman, R. D. Depth is encoded in the visual cortex by a specialized receptive field structure. Nature 352, 156–159 (1991).

    Article  CAS  Google Scholar 

  25. LeVay, S. & Voigt, T. Ocular dominance and disparity coding in cat visual cortex. Vis. Neurosci. 1, 395–414 (1988).

    Article  CAS  Google Scholar 

  26. Anderson, B. L. The computation of stereoscopic occlusion relationships. Nature (in press).

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Correspondence to Jitendra Malik or Barton L. Anderson.

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Malik, J., Anderson, B. & Charowhas, C. Stereoscopic occlusion junctions. Nat Neurosci 2, 840–843 (1999). https://doi.org/10.1038/12214

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