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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 24, Iss. 2 — Feb. 1, 2007
  • pp: 278–293

Multilevel isotrigon textures

Ted Maddess, Yoshinori Nagai, Jonathan D. Victor, and Ryan R. L. Taylor  »View Author Affiliations


JOSA A, Vol. 24, Issue 2, pp. 278-293 (2007)
http://dx.doi.org/10.1364/JOSAA.24.000278


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Abstract

To date a small palette of isotrigon textures have been available to study how the brain uses higher-order spatial correlation information. We introduce several hundred new isotrigon textures. Special modulation properties are illustrated that can be used to extract neural responses to higher-order spatial correlations. We also ask how many textures make an adequate training set and how representative individual examples are of their texture class. Human discrimination of 90 of these patterns was quantified. Modeling those responses shows that humanlike performance can be obtained providing a fourth-order classifier is used, although more than one mechanism is required.

© 2007 Optical Society of America

OCIS Codes
(330.0330) Vision, color, and visual optics : Vision, color, and visual optics
(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
(330.7310) Vision, color, and visual optics : Vision

ToC Category:
Vision, Color, and Visual Optics

History
Original Manuscript: January 3, 2006
Revised Manuscript: August 3, 2006
Manuscript Accepted: August 9, 2006

Virtual Issues
Vol. 2, Iss. 3 Virtual Journal for Biomedical Optics

Citation
Ted Maddess, Yoshinori Nagai, Jonathan D. Victor, and Ryan R. L. Taylor, "Multilevel isotrigon textures," J. Opt. Soc. Am. A 24, 278-293 (2007)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-24-2-278


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References

  1. K. P. Purpura, J. D. Victor, and E. Katz, "Striate cortex extracts higher-order spatial correlations from visual textures," Phys. Rev. A 91, 8482-8486 (1994).
  2. M. O. Franz and B. Schölkopf, "Implicit Weiner series Part 1: cross-correlation vs. regression in reproducing kernel Hilbert spaces," Technical Report TR-114 (Max-Planck-Institut für biologische Kybernetik, 2003).
  3. M. Franz and B. Schölkopf, "Implicit Weiner series for higher-order image analysis," in Advances in Neural Information Processing Systems, 17: Proceedings of the 2004 Conference, L.K.Saul, Y.Weiss, and L.Bottou, eds., (MIT Press, 2005), pp. 1-8.
  4. C. Zetzsche, E. Barth, and B. Wegmann, "The importance of intrinsically two-dimensional image features in biological vision and picture coding," in Digital Images and Human Vision, A.Watson, ed. (MIT Press, 1993), pp. 109-138.
  5. C. Zetzsche, G. Krieger, and B. Wegmann, "The atoms of vision: Cartesian or polar?" J. Opt. Soc. Am. A 16, 1554-1565 (1999). [CrossRef]
  6. B. A. Olshausen and D. J. Field, "Emergence of simple-cell receptive field properties by learning a sparse code for natural images," Nature 381, 607-609 (1996). [CrossRef] [PubMed]
  7. C. Zetzsche and U. Nuding, "Nonlinear and higher-order approaches to the encoding of natural scenes," Network 16, 191-221 (2005). [CrossRef]
  8. C. Zetzsche and F. Rohrbein, "Nonlinear and extra-classical receptive field properties and the statistics of natural scenes," Network 12, 331-350 (2001). [PubMed]
  9. G. Krieger and C. Zetzsche, "Nonlinear image operators for the evaluation of local intrinsic dimensionality," IEEE Trans. Image Process. 5, 1026-1042 (1996). [CrossRef] [PubMed]
  10. G. Krieger, I. Rentschler, G. Hauske, K. Schill, and C. Zetzsche, "Object and scene analysis by saccadic eye-movements: an investigation with higher-order statistics," Spatial Vis. 13, 201-214 (2000). [CrossRef]
  11. J. D. Victor and V. Zemon, "The human visual evoked potential: analysis of components due to elementary and complex aspects of form," Vision Res. 25, 1829-1842 (1985). [CrossRef] [PubMed]
  12. J. D. Victor and M. M. Conte, "Cortical interactions in texture processing: scale and dynamics," Visual Neurosci. 2, 297-313 (1989). [CrossRef]
  13. J. D. Victor and M. M. Conte, "Spatial organization of nonlinear interactions in form perception," Vision Res. 31, 1457-1488 (1991). [CrossRef] [PubMed]
  14. J. D. Victor, "Complex visual textures as a tool for studying the VEP," Vision Res. 25, 1811-1827 (1985). [CrossRef] [PubMed]
  15. J. D. Victor and M. M. Conte, "The role of high-order phase correlations in texture processing," Vision Res. 36, 1615-1631 (1996). [CrossRef] [PubMed]
  16. L. L. Beason-Held, K. P. Purpura, J. W. Van Meter, N. P. Azari, D. J. Mangot, L. M. Optican, M. J. Mentis, G. E. Alexander, C. L. Grady, B. Horwitz, S. I. Rapoport, and M. B. Schapiro, "PET reveals occipitotemporal pathway activation during elementary form perception in humans," Visual Neurosci. 15, 503-510 (1998). [CrossRef]
  17. L. L. Beason-Held, K. P. Purpura, J. S. Krasuski, J. M. Maisog, E. M. Daly, D. J. Mangot, R. E. Desmond, L. M. Optican, M. B. Schapiro, and J. W. VanMeter, "Cortical regions involved in visual texture perception: a fMRI study," Brain Res. Cognit. Brain Res. 7, 111-118 (1998). [CrossRef]
  18. L. L. Beason-Held, K. P. Purpura, J. S. Krasuski, R. E. Desmond, D. J. Mangot, E. M. Daly, L. M. Optican, S. I. Rapoport, and J. W. VanMeter, "Striate cortex in humans demonstrates the relationship between activation and variations in visual form," Exp. Brain Res. 130, 221-226 (2000). [CrossRef] [PubMed]
  19. T. Maddess and Y. Nagai, "Discriminating isotrigon textures," Vision Res. 41, 3837-3860 (2001). [CrossRef] [PubMed]
  20. J. D. Victor and M. M. Conte, "Visual working memory for image statistics," Vision Res. 44, 541-556 (2004). [CrossRef]
  21. C. W. Tyler, "Theory of texture discrimination based on higher-order perturbations in individual texture samples," Vision Res. 44, 2179-2186 (2004). [CrossRef] [PubMed]
  22. C. W. Tyler, "Beyond fourth-order texture discrimination: generation of extreme-order and statistically-balanced textures," Vision Res. 44, 2187-2199 (2004). [CrossRef] [PubMed]
  23. T. Maddess, Y. Nagai, A. C. James, and A. Ankiewcz, "Binary and ternary textures containing higher-order spatial correlations," Vision Res. 44, 1093-1113 (2004). [CrossRef] [PubMed]
  24. A. Watson and A. Ahumada, "A standard model for foveal detection of spatial contrast," J. Vision 5, 717-740 (2005). [CrossRef]
  25. J. D. Victor, "Images, statistics and textures: implications of triple correlation uniqueness for texture statistics and the Julesz conjecture: comment," J. Opt. Soc. Am. A 11, 1680-1684 (1994). [CrossRef]
  26. C. Chubb and J. I. Yellott, "Every discrete, finite image is uniquely determined by its dipole histogram," Vision Res. 40, 485-492 (2000). [CrossRef] [PubMed]
  27. C. Chubb and J. I. Yellott, "Dipole statistics of discrete finite images: two visually motivated representation theorems," J. Opt. Soc. Am. A 19, 825-832 (2002). [CrossRef]
  28. B. Julesz, E. N. Gilbert, and J. D. Victor, "Visual discrimination of textures with identical third-order statistics," Biol. Cybern. 31, 137-140 (1978). [CrossRef] [PubMed]
  29. D. L. Ruderman, "Origins of scaling in natural images," Vision Res. 37, 3385-3398 (1997). [CrossRef]
  30. D. Ruderman and W. Bialek, "Statistics of natural images: scaling in the woods," Phys. Rev. Lett. 73, 814-817 (1994). [CrossRef] [PubMed]
  31. E. N. Gilbert, "Random colorings of a lattice on squares in the plane," SIAM J. Algebraic Discrete Methods 1, 152-159 (1980). [CrossRef]
  32. R. A. Johnson and D. W. Wichern, Applied Multivariate Statistical Analysis, 3rd ed. (Prentice Hall, 1992).
  33. D. Peterzell and D. Teller, "Individual differences in contrast sensitivity functions: the lowest spatial frequency channels," Vision Res. 36, 3077-3085 (1995). [CrossRef]
  34. J. D. Victor, C. Chubb, and M. M. Conte, "Interaction of luminance and higher-order statistics in texture discrimination," Vision Res. 45, 311-328 (2005). [CrossRef]
  35. J. D. Victor and M. M. Conte, "Motion mechanisms have only limited access to form information," Vision Res. 30, 289-301 (1990). [CrossRef] [PubMed]

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