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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 18, Iss. 9 — Sep. 1, 2001
  • pp: 2307–2320

Ideal cue combination for localizing texture-defined edges

Michael S. Landy and Haruyuki Kojima  »View Author Affiliations

JOSA A, Vol. 18, Issue 9, pp. 2307-2320 (2001)

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Many visual tasks can be carried out by using several sources of information. The most accurate estimates of scene properties require the observer to utilize all available information and to combine the information sources in an optimal manner. Two experiments are described that required the observers to judge the relative locations of two texture-defined edges (a vernier task). The edges were signaled by a change across the edge of two texture properties [either frequency and orientation (Experiment 1) or contrast and orientation (Experiment 2)]. The reliability of each cue was controlled by varying the distance over which the change (in frequency, orientation, or contrast) occurred—a kind of “texture blur.” In some conditions, the position of the edge signaled by one cue was shifted relative to the other (“perturbation analysis”). An ideal-observer model, previously used in studies of depth perception and color constancy, was fitted to the data. Although the fit can be rejected relative to some more elaborate models, especially given the large quantity of data, this model does account for most trends in the data. A second, suboptimal model that switches between the available cues from trial to trial does a poor job of accounting for the data.

© 2001 Optical Society of America

OCIS Codes
(330.4060) Vision, color, and visual optics : Vision modeling
(330.5000) Vision, color, and visual optics : Vision - patterns and recognition
(330.5510) Vision, color, and visual optics : Psychophysics
(330.6100) Vision, color, and visual optics : Spatial discrimination

Original Manuscript: December 12, 2000
Revised Manuscript: April 24, 2001
Manuscript Accepted: April 24, 2001
Published: September 1, 2001

Michael S. Landy and Haruyuki Kojima, "Ideal cue combination for localizing texture-defined edges," J. Opt. Soc. Am. A 18, 2307-2320 (2001)

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  1. L. Kaufman, Sight and Mind (Oxford, New York, 1974).
  2. M. S. Landy, E. Brenner, “Motion-disparity interaction and the scaling of stereoscopic disparity,” in Vision and Attention, L. R. Harris, M. R. M. Jenkin, eds. (Springer- Verlag, New York, 2001), Chap. 7.
  3. M. S. Landy, L. T. Maloney, E. B. Johnston, M. J. Young, “Measurement and modeling of depth cue combination: in defense of weak fusion,” Vision Res. 35, 389–412 (1995). [CrossRef] [PubMed]
  4. J. J. Clark, A. L. Yuille, Data Fusion for Sensory Information Processing Systems (Kluwer Academic, Boston, 1990).
  5. D. Marr, Vision (Freeman, San Francisco, Calif., 1982).
  6. J. Aloimonos, D. A. Shulman, Integration of Visual Modules: an Extension of the Marr Paradigm (Academic, New York, 1989).
  7. L. T. Maloney, M. S. Landy, “A statistical framework for robust fusion of depth information,” in Visual Communications and Image Processing IV, W. A. Pearlman, ed., Proc. SPIE1199, 1154–1163 (1989). [CrossRef]
  8. M. J. Young, M. S. Landy, L. T. Maloney, “A perturbation analysis of depth perception from combinations of texture and motion cues,” Vision Res. 33, 2685–2696 (1993). [CrossRef] [PubMed]
  9. E. B. Johnston, B. G. Cumming, M. S. Landy, “Integration of stereopsis and motion shape cues,” Vision Res. 34, 2259–2275 (1994). [CrossRef] [PubMed]
  10. J. R. Li, L. T. Maloney, M. S. Landy, “Combination of consistent and inconsistent depth cues,” Invest. Ophthalmol. Visual Sci. Suppl. 38, S903 (1997).
  11. E. Brenner, M. S. Landy, “Interaction between the perceived shape of two objects,” Vision Res. 39, 933–945 (1999). [CrossRef]
  12. I. Fine, R. A. Jacobs, “Modeling the combination of motion, stereo, and vergence angle cues to visual depth,” Neural Comput. 11, 1297–1330 (1999). [CrossRef] [PubMed]
  13. D. C. Knill, W. Richards, Perception as Bayesian Inference (Cambridge U. Press, Cambridge, UK, 1996).
  14. A. L. Yuille, H. H. Bülthoff, “Bayesian decision theory and psychophysics,” in Perception as Bayesian Inference, D. C. Knill, W. Richards, eds. (Cambridge U. Press, Cambridge, UK, 1996), pp. 123–161.
  15. D. W. Massaro, D. Friedman, “Models of integration given multiple sources of information,” Psychol. Rev. 97, 225–252 (1990). [CrossRef] [PubMed]
  16. J. E. Cutting, N. Bruno, N. P. Brady, C. Moore, “Selectivity, scope, and simplicity of models: a lesson from fitting judgments of perceived depth,” J. Exp. Psychol. Gen. 121, 364–381 (1992). [CrossRef] [PubMed]
  17. D. W. Massaro, “Ambiguity in perception and experimentation,” J. Exp. Psychol. Gen. 117, 417–421 (1988). [CrossRef] [PubMed]
  18. D. W. Massaro, M. M. Cohen, “The paradigm and the fuzzy logical model of perception are alive and well,” J. Exp. Psychol. Gen. 122, 115–124 (1993). [CrossRef] [PubMed]
  19. L. T. Maloney, “Physics-based approaches to modeling surface color perception,” in Color Vision: From Genes to Perception, K. R. Gegenfurtner, L. T. Sharpe, eds. (Cambridge U. Press, Cambridge, UK, 1999), pp. 387–422.
  20. L. T. Maloney, J. N. Yang, “The illuminant estimation hypothesis and surface color perception,” in Colour Vision:From Light to Object, R. Mausfeld, D. Heyer, eds. (Oxford U. Press, Oxford, UK, to be published).
  21. A. M. Derrington, D. R. Badcock, “Separate detectors for simple and complex grating patterns?” Vision Res. 25, 1869–1878 (1985). [CrossRef] [PubMed]
  22. T. Ledgeway, A. T. Smith, “Evidence for separate motion-detecting mechanisms for first- and second-order motion in human vision,” Vision Res. 34, 2727–2740 (1994). [CrossRef] [PubMed]
  23. N. E. Scott-Samuel, M. A. Georgeson, “Does early nonlinearity account for second-order motion?” Vision Res. 39, 2853–2865 (1999). [CrossRef] [PubMed]
  24. H. R. Wilson, J. Kim, “A model of motion coherence and transparency,” Visual Neurosci. 11, 1205–1220 (1994). [CrossRef]
  25. P. Cavanagh, S. Saida, J. Rivest, “The contribution of color to depth perceived from motion parallax,” Vision Res. 35, 1871–1878 (1995). [CrossRef] [PubMed]
  26. F. S. Frome, S. L. Buck, R. M. Boynton, “Visibility of borders: separate and combined effects of color differences, luminance contrast, and luminance level,” J. Opt. Soc. Am. 71, 145–150 (1981). [CrossRef] [PubMed]
  27. J. Rivest, I. Boutet, J. Intriligator, “Perceptual learning of orientation discrimination by more than one attribute,” Vision Res. 37, 273–281 (1997). [CrossRef] [PubMed]
  28. M. S. Landy, “Combining multiple cues for texture edge localization,” in Human Vision, Visual Processing, and Digital Display IV, J. P. Allebach, B. E. Rogowitz, eds., Proc. SPIE1913, 506–517 (1993). [CrossRef]
  29. J. Rivest, P. Cavanagh, “Localizing contours defined by more than one attribute,” Vision Res. 36, 53–66 (1996). [CrossRef] [PubMed]
  30. D. R. Badcock, G. Westheimer, “Spatial location and hyperacuity: the centre/surround localization contribution function has two substrates,” Vision Res. 25, 1259–1267 (1985). [CrossRef] [PubMed]
  31. R. Gray, D. Regan, “Vernier step acuity and bisection acuity for texture-defined form,” Vision Res. 37, 1713–1723 (1997). [CrossRef]
  32. P. V. McGraw, D. Whitaker, D. R. Badcock, “Localising conflicting visual attributes,” Invest. Ophthalmol. Visual Sci. Suppl. 41, S804 (2000).
  33. M. S. Landy, J. R. Bergen, “Texture segregation and orientation gradient,” Vision Res. 31, 679–691 (1991). [CrossRef] [PubMed]
  34. A. K. Hon, L. T. Maloney, M. S. Landy, “The influence function for visual interpolation,” in Human Vision and Electronic Imaging II, B. E. Rogowitz, T. N. Pappas, eds., Proc. SPIE3016, 409–419 (1997). [CrossRef]
  35. J. R. Bergen, M. S. Landy, “Computational modeling of visual texture segregation,” in Computational Models of Visual Processing, M. S. Landy, J. A. Movshon, eds. (MIT Press, Cambridge, Mass., 1991), pp. 253–271.
  36. M. S. Landy, Y. Cohen, G. Sperling, “Hips: a unix-based image processing system,” Comput. Vision Graph. Image Process. 25, 331–347 (1984). [CrossRef]
  37. N. Prins, A. J. Mussap, “Alignment of orientation-modulated textures,” Vision Res. 40, 3567–3573 (2000). [CrossRef] [PubMed]
  38. S. S. Wolfson, M. S. Landy, “Discrimination of orientation-defined texture edges,” Vision Res. 35, 2863–2877 (1995). [CrossRef] [PubMed]
  39. F. A. A. Kingdom, D. Keeble, B. Moulden, “Sensitivity to orientation modulation in micropattern-based texture,” Vision Res. 35, 79–91 (1995). [CrossRef] [PubMed]
  40. A. M. Mood, F. A. Graybill, D. C. Boes, Introduction to the Theory of Statistics, 3rd ed. (McGraw-Hill, New York, 1974).
  41. H. Akaike, “A new look at the statistical model identification,” IEEE Trans. Aut. Control AC-19, 716–723 (1974). [CrossRef]
  42. S. C. Dakin, “Orientation variance as a quantifier of structure in texture,” Spatial Vision 12, 1–30 (1999). [CrossRef] [PubMed]
  43. M. K. Kendall, A. Stuart, The Advanced Theory of Statistics: Vol. 2. Inference and Relationship, 4th ed. (Macmillan, New York, 1979).

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