Local image statistics: Maximum-entropy constructions and perceptual salience

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 29, Issue 7, 2012, Pages 1313-1345

  Victor, Jonathan D ^a   Conte, Mary M ^a  

^a WEILL CORNELL MEDICAL COLLEGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

HIGHER ORDER STATISTICS;

HIGH-DIMENSIONAL; HUMAN VISUAL SYSTEM; IMAGE STATISTICS; LOCAL IMAGE STATISTICS; LUMINANCE DISTRIBUTIONS; MAXIMUM-ENTROPY; NATURAL IMAGES; OTHER STATISTICS; STATISTICAL STRUCTURES; SYNTHETIC IMAGES; VISUAL FUNCTIONS; VISUAL IMAGE; VISUAL SIGNALS;

STATISTICS;

ADULT; ALGORITHM; ARTICLE; BIOLOGICAL MODEL; ENTROPY; FEMALE; HUMAN; MALE; MIDDLE AGED; PERCEPTIVE DISCRIMINATION; PHOTOSTIMULATION; PHYSIOLOGY; PROBABILITY; PSYCHOPHYSICS; VISION;

ADULT; ALGORITHMS; DISCRIMINATION (PSYCHOLOGY); ENTROPY; FEMALE; HUMANS; MALE; MARKOV CHAINS; MIDDLE AGED; MODELS, BIOLOGICAL; PHOTIC STIMULATION; PSYCHOPHYSICS; VISUAL PERCEPTION;

EID: 84863764871     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.29.001313     Document Type: Article

References (30)

1. C. Chubb, M. S. Landy, and J. Econopouly, "A visual mechanism tuned to black", Vis. Res. 44, 3223-3232. (2004). (Pubitemid 39346285)
2. B. Julesz, "Textons, the elements of texture perception, and their interactions", Nature 290, 91-97. (1981). (Pubitemid 11149681)
3. B. Julesz, E. N. Gilbert, and J. D. Victor, "Visual discrimination of textures with identical third-order statistics", Biol. Cybern. 31, 137-140. (1978). (Pubitemid 9065753)
4. J. D. Victor and M. M. Conte, "Spatial organization of nonlinear interactions in form perception", Vis. Res. 31, 1457-1488 (1991).
5. S. Lyu and E. P. Simoncelli, "Nonlinear extraction of independent components of natural images using radial gaussianization", Neural Comput. 21, 1485-1519 (2009).
6. F. Sinz, E. P. Simoncelli, and M. Bethge, "Hierarchical modeling of local image features through Lp-nested symmetric distributions", in Advances in Neural Information Processing Systems, Vol. 22, Y. Bengio, D. Schuurmans, J. Lafferty, C. K. I. Williams, and A. Culotta, eds. (NIPS, 2009), pp. 1696-1704.
7. D. J. Field, "Relations between the statistics of natural images and the response properties of cortical cells", J. Opt. Soc. Am. A 4, 2379-2394 (1987).
8. W. A. Richards, "Lightness scale from image intensity distributions", Appl. Opt. 21, 2569-2582 (1982). (Pubitemid 12549397)
9. C. Zetzsche and G. Krieger, "Nonlinear mechanism and higherorder statistics in biological vision and electronic image processing: review and perspectives", J. Electron. Imaging 10, 56-99 (2001). (Pubitemid 32279361)
10. G. Tkacik, J. S. Prentice, J. D. Victor, and V Balasubramanian, "Local statistics in natural scenes predict the saliency of synthetic textures", Proc. Natl. Acad. Sci. U. S. A. 107, 18149-18154 (2010).
11. A. Torralba and A. Oliva", Statistics of natural image categories", Network 14, 391-412 (2003). (Pubitemid 38011142)
12. W. S. Geisler, "Visual perception and the statistical properties of natural scenes", Annu. Rev. Psychol. 59, 167-192 (2008).
13. S. V. David and J. L. Gallant, "Predicting neuronal responses during natural vision", Network 16, 239-260 (2005). (Pubitemid 43071176)
14. H. B. Barlow, "Possible principles underlying the transformation of sensory messages", in Sensory Communication, W. A. Rosenblith, ed. (MIT, 1961), pp. 217-234.
15. R. Levine and M. Tribus, The Maximum Entropy Formalism (MIT, 1979).
16. T. M. Cover and J. A. Thomas, Elements of Information Theory (Wiley, 1991).
17. E. Schneidman, M. J. Berry II, R. Segev, and W. Bialek, "Weak pair-wise correlations imply strongly correlated network states in a neural population", Nature 440, 1007-1012 (2006).
18. S. H. Nirenberg and J. D. Victor, "Analyzing the activity of large populations of neurons: how tractable is the problem?" Curr. Opin. Neurobiol. 17, 397-400 (2007). (Pubitemid 47531946)
19. J. Shlens, G. D. Field, J. L. Gauthier, M. I. Grivich, D. Petrusca, A. Sher, A. M. Litke, and E. J. Chichilnisky, "The structure of multi-neuron firing patterns in primate retina", J. Neurosci. 26, 8254-8266 (2006). (Pubitemid 44309839)
20. S. C. Zhu, Y. Wu, and D. Mumford, "Filters, random fields and maximum entropy (FRAME): towards a unified theory for texture modeling", Int. J. Comput. Vis. 27, 107-126 (1998). (Pubitemid 128529714)
21. D. K. Pickard, "Unilateral Markov fields", Adv. Appl. Probab. 12, 655-671 (1980).
22. J. D. Victor, C. Chubb, and M. M. Conte, "Interaction of luminance and higher-order statistics in texture discrimination", Vis. Res. 45, 311-328 (2005). (Pubitemid 39647494)
23. J. D. Victor, A. Ashurova, C. Chubb, and M. M. Conte, "Isodiscrimination contours in a three-parameter texture space", J. Vis. 6(6):205, 205a, http://journalofvision.org/6/6/205/, (2005).
24. S. I. Amari, "Information geometry on hierarchy of probability distributions", IEEE Trans. Inf. Theory 47, 1701-1711 (2001).
25. F. Champagnat, J. Idier, and Y. Goussard, "Stationary Markov Random Fields on a finite rectangular lattice", IEEE Trans. Inf. Theory 44, 2901-2916 (1998). (Pubitemid 128739994)
26. N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller, "Equations of state calculations by fast computing machines", J. Chem. Phys. 21, 1087-1091 (1953).
27. P. Brodatz, Textures: a Photographic Album for Artists and Designers (Dover, 1965).
28. A. Poirson, B. Wandell, D. Varner, and D. Brainard, "Surface characterizations of color thresholds", J. Opt. Soc. Am. A 7, 783-789 (1990).
29. J. Portilla and E. Simoncelli, "A parametric texture model based on joint statistics of complex wavelet coefficients, ". Int. J. Comput. Vis. 40, 49-71 (2000). (Pubitemid 32083683)
30. J. Shlens, G. D. Field, J. L. Gauthier, M. I. Grivich, D. Petrusca, A. Sher, A. M. Litke, and E. J. Chichilnisky, "The structure of multineuron firing patterns in primate retina", J. Neurosci. 26, 8254-8266 (2006). (Pubitemid 44309839)