How attention and contrast gain control interact to regulate lightness contrast and assimilation: A computational neural model

Journal of Vision

Volumn 10, Issue 14, 2010, Pages 1-37

  Rudd, Michael E ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

Author keywords

Attention; Computational modeling; Contrast gain; Lightness brightness perception

Indexed keywords

ARTICLE; ATTENTION; BIOLOGICAL MODEL; CONTRAST SENSITIVITY; HUMAN; ILLUMINATION; METHODOLOGY; PHOTOSTIMULATION; PHYSIOLOGY; REGRESSION ANALYSIS; VISION; VISUAL CORTEX; VISUAL SYSTEM;

ATTENTION; CONTRAST SENSITIVITY; HUMANS; LEAST-SQUARES ANALYSIS; LIGHTING; MODELS, NEUROLOGICAL; PHOTIC STIMULATION; VISUAL CORTEX; VISUAL PATHWAYS; VISUAL PERCEPTION;

EID: 79251551678     PISSN: None     EISSN: 15347362     Source Type: Journal    
DOI: 10.1167/10.14.1     Document Type: Article

References (147)

1. Adelson, E. H. (1993). Perceptual organization and the judgment of brightness. Science, 262, 2042-2044.
2. Agostini, T., & Bruno, N. (1996). Lightness contrast in CRT and paper-and-illuminant displays. Perception and Psychophysics, 58, 250-258.
3. Anderson, B. L. (1997). A theory of illusory lightness and transparency in monocular and binocular images: The role of contour junctions. Perception, 26, 419-453.
4. Anderson, B. L., & Winawer, J. (2008). Layered image representation and the computation of lightness. Journal of Vision, 8(7):18, 1-22, http://www.journalofvision.org/content/8/7/18, doi:10.1167/8.7.18.
5. Arend, L. E., Buehler, J. N., & Lockhead, G. R. (1971). Difference information in brightness perception. Perception and Psychophysics, 9, 367-370.
6. Arend, L. E., & Spehar, B. (1993a). Lightness, brightness and brightness contrast: 1. Illumination variation. Perception and Psychophysics, 54, 446-456.
7. Arend, L. E., & Spehar, B. (1993b). Lightness, brightness and brightness contrast: 2. Reflectance variation. Perception and Psychophysics, 54, 457-468.
8. Arrington, K. F. (1994). The temporal dynamics of brightness filling-in. Vision Research, 34, 3371-3387.
9. Arrington, K. F. (1996). Directional filling-in. Neural Computation, 8, 300-318.
10. Barkan, Y., Spitzer, H., & Einav, S. (2008). Brightness contrast-contrast induction model predicts assimilation and inverted assimilation effects. Journal of Vision, 8(7):27, 1-26, http://www.journalofvision.org/content/8/7/27, doi:10.1167/8.7.27.
11. Bartels, A., & Zeki, S. (2000). The architecture of the colour centre in the human visual brain: New results and a review. European Journal of Neuroscience, 12, 172-190.
12. Bindman, D., & Chubb, C. (2004a). Brightness assimilation in bull's-eye displays. Vision Research, 44, 309-319.
13. Bindman, D., & Chubb, C. (2004b). Mechanisms of contrast induction in homogeneous displays. Vision Research, 44, 1601-1613.
14. Blakeslee, B., & McCourt, M. E. (1999). A multiscale spatial filtering account of the White effect, simultaneous brightness contrast and grating induction. Vision Research, 39, 4361-4377.
15. Blakeslee, B., & McCourt, M. E. (2001). A multiscale spatial filtering account of the Wertheimer-Benary effect and the corrugated Mondrian. Vision Research, 41, 2487-2502.
16. Blakeslee, B., & McCourt, M. E. (2003). A multiscale spatial filtering account of brightness perception. In L. R. Harris & M. Jenkin (Eds.), Levels of perception (pp. 47-72). Berlin, Germany: Springer-Verlag.
17. Blakeslee, B., & McCourt, M. E. (2004). A unified theory of brightness contrast and assimilation incorporating oriented multiscale spatial filtering and contrast normalization. Vision Research, 44, 2483-2503.
18. Blakeslee, B., & McCourt, M. E. (2005). A multiscale spatial filtering account of grating induction and remote induction effects: Reply to Logvinenko. Perception, 34, 793-802.
19. Blakeslee, B., & McCourt, M. E. (2008). Nearly instantaneous brightness induction. Journal of Vision, 8(2):15, 1-8, http://www.journalofvision.org/content/8/2/15, doi:10.1167/8.2.15.
20. Blakeslee, B., Pasieka, W., & McCourt, M. E. (2005). Oriented multiscale filtering and contrast normalization: A parsimonious model of brightness induction in a continuum of stimuli including White, Howe, and simultaneous brightness contrast. Vision Research, 45, 607-615.
21. Brainard, D. H. (1997). The psychophysics toolbox. Spatial Vision, 10, 433-436.
22. Bressan, P. (2001). Explaining lightness illusions. Perception, 30, 1031-1046.
23. Bressan, P. (2006a). Inhomogeneous surrounds, conflicting frameworks, and the double-anchoring theory of lightness. Psychonomic Bulletin and Review, 13, 22-32.
24. Bressan, P. (2006b). The place of white in a world of grays: A double-anchoring theory of lightness perception. Psychological Review, 113, 526-553.
25. Bressan, P., & Actis-Grosso, R. (2001). Simultaneous lightness contrast with double-increments. Perception, 30, 889-897.
26. Bressan, P., & Kramer, P. (2008). Gating of remote effects on lightness. Journal of Vision, 8(2):16,1-8,http://www.journalofvision.org/content/8/2/16, doi:10.1167/8.2.16.
27. Bruno, N., Bernardis, P., & Schirillo, J. (1997). Lightness, equivalent backgrounds, and anchoring. Perception and Psychophysics, 59, 643-654.
28. Chevreul, M. E. (1839/1967). The principles of harmony and contrast of colors and their applications to the arts. New York: Van Nostrand Reinhold.
29. Clarke, S., Walsh, V., Schoppig, A., Assal, G., & Cowey, A. (1998). Colour constancy impairments in patients with lesions of the prestriate cortex. Experimental Brain Research, 123, 154-158.
30. Cohen, M. A., & Grossberg, S. (1984). Neural dynamics of brightness perception: Features, boundaries, diffusion, and resonance. Perception and Psychophysics, 36, 428-456.
31. Cornsweet, T. N. (1970). Visual perception. New York: Academic Press.
32. Craft, E., Schutze, H., Niebur, E., & von der Heydt, R. (2007). A neural model of figure-ground organization. Journal of Neurophysiology, 97, 4310-4326.
33. Craik, K. J. W. (1940). Visual adaptation. Unpublished doctoral dissertation, Cambridge University.
34. Craik, K. J. W. (1966). The nature of psychology: A selection of papers, essays, and other writings by the late Kenneth J. W. Craik. S. L. Sherwood (Ed.). Cambridge, UK: Cambridge University Press.
35. Dakin, S. C., & Bex, P. J. (2003). Natural image statistics mediate brightness "filling-in". Proceedings of the Royal Society of London B, 270, 2341-2348.
36. Daugman, J. G. (1985). Uncertainty relation for resolution in space, spatial frequency, and orientation optimized by two-dimensional visual cortical filters. Journal of the Optical Society of America A, Optics, Image Science, and Vision, 1, 1160-1169.
37. Davidson, M., & Whiteside, J. (1971). Human brightness perception near sharp contours. Journal of the Optical Society of America, 61, 530-536.
38. Dean, A. F. (1981). The variability in discharge of simple cells in cat visual cortex. Experimental Brain Research, 44, 437-450.
39. Diamond, A. L. (1953). Foveal simultaneous brightness contrast as a function of inducing-and test-field luminances. Journal of Experimental Psychology, 45, 304-314.
40. Economou, E., Zdravkovic, S., & Gilchrist, A. (2007). Anchoring versus spatial filtering accounts of simultaneous lightness contrast. Journal of Vision, 7(12):2, 1-15, http://www.journalofvision.org/content/7/12/2, doi:10.1167/7.12.2.
41. Fang, L., & Grossberg, S. (2009). From stereogram to surface: How the brain sees the world in depth. Spatial Vision, 22, 45-82.
42. Fry, G. A. (1948). Mechanisms subserving simultaneous brightness contrast. American Journal of Optometry and Archives of the American Academy of Optometry, 25, 162-178.
43. Gerrits, H. J., & Vendrik, A. J. (1970). Simultaneous contrast, filling-in process and information processing in man's visual system. Experimental Brain Research, 11, 411-430.
44. Gerrits, H. J. M., de Haan, B., & Vendrik, A. J. H. (1966). Experiments with stabilized retinal images: Relations between the observations and neural data. Vision Research, 6, 427-440.
45. Gerrits, H. J. M., & Timmermann, G. J. M. E. N. (1969). The filling-in process in patients with retinal scotoma. Vision Research, 9, 439-442.
46. Gilchrist, A. (2006). Seeing black and white. New York: Oxford University Press.
47. Gilchrist, A., Kossyfidis, C., Bonato, F., Agostini, T., Cataliotti, J., Li, X., et al. (1999). An anchoring theory of lightness perception. Psychological Review, 106, 795-834.
48. Gilchrist, A. L. (1988). Lightness contrast and failures of contrast: A common explanation. Perception and Psychophysics, 43, 415-424.
49. Gilchrist, A. L., & Radonjić, A. (2006). Computing lightness at a slant: Taking light source direction into account versus a relaxed coplanar ratio model [Abstract]. Journal of Vision, 6(6):393, 393a, http://www.journalofvision.org/content/6/6/393, doi:10.1167/6.6.393.
50. Gilchrist, A. L., & Radonjić, A. (2009). Anchoring of lightness values by relative luminance and relative area. Journal of Vision, 9(9):13, 1-10, http://www.journalofvision.org/content/9/9/13, doi:10.1167/9.9.13.
51. Gilchrist, A. L., & Radonjić, A. (2010). Functional frameworks of illumination revealed by probe disk technique. Journal of Vision, 10(5):6, 1-12, http://www.journalofvision.org/content/10/5/6, doi:10.1167/10.5.6.
52. Grossberg, S., & Mingolla, E. (1985a). Neural dynamics of form perception: Boundary completion, illusory figures, and neon color spreading. Psychological Review, 92, 173-211.
53. Grossberg, S., & Mingolla, E. (1985b). Neural dynamics of perceptual grouping: Textures, boundaries, and emergent segmentations. Perception and Psychophysics, 38, 141-171.
54. Grossberg, S., Mingolla, E., & Todorović, D. (1989). A neural network architecture for preattentive vision. IEEE Transactions on Biomedical Engineering, 36, 65-84.
55. Grossberg, S., & Todorović, D. (1988). Neural dynamics of 1-D and 2-D brightness perception: A unified model of classical and recent phenomena. Perception and Psychophysics, 43, 241-277.
56. Heinemann, E. G. (1955). Simultaneous brightness induction as a function of inducing-and test-field luminances. Journal of Experimental Psychology, 50, 89-96.
57. Heinemann, E. G. (1972). Simultaneous brightness induction. In D. Jameson & L. Hurvich (Eds.), Handbook of sensory physiology (vol. VII/4, pp. 146-169). Berlin, Germany: Springer.
58. Helson, H. (1963). Studies of anomalous contrast and assimilation. Journal of the Optical Society of America, 53, 179-185.
59. Helson, H., & Joy, V. (1962). Domains of lightness assimilation and contrast effects in vision. Psychologische Beitraege, 6, 405-415.
60. Hong, S. W., & Shevell, S. K. (2004a). Brightness contrast and assimilation from patterned inducing backgrounds. Vision Research, 44, 35-43.
61. Hong, S. W., & Shevell, S. K. (2004b). Brightness induction: Unequal spatial integration with increments and decrements. Visual Neuroscience, 21, 353-357.
62. Horn, B. K. P. (1974). Determining lightness from an image. Computer Graphics and Image Processing, 3, 277-299.
63. Horn, B. K. P. (1986). Robot vision. Cambridge, MA: MIT Press.
64. Howe, P. D. L. (2005). White's effect: Removing the junctions but preserving the strength of the illusion. Perception, 34, 557-564.
65. Huang, X., & Paradiso, M. A. (2008). V1 response timing and surface filling-in. Journal of Neurophysiology, 100, 539-547.
66. Hubel, D. H., & Wiesel, T. N. (1959). Receptive fields of single neurons in the cat's striate cortex. Journal of Physiology, 148, 574-591.
67. Hubel, D. H., & Wiesel, T. N. (1962). Receptive fields, binocular interaction, and functional architecture of monkey striate cortex. Journal of Physiology, 160, 106-154.
68. Hubel, D. H., & Wiesel, T. N. (1965). Receptive fields and functional architecture in two non-striate areas (18 and 19) of the cat. Journal of Neurophysiology, 28, 229-289.
69. Hubel, D. H., & Wiesel, T. N. (1968). Receptive fields and functional architecture of monkey striate cortex. Journal of Physiology, 195, 215-243.
70. Hung, C. P., Ramsden, R. M., & Roe, A. W. (2007). A functional circuitry for edge-induced brightness perception. Nature Neuroscience, 10, 1185-1190.
71. Jacobsen, A., & Gilchrist, A. (1988). Hess and Pretori revisited: Resolution of some old contradictions. Perception and Psychophysics, 43, 7-14.
72. Jameson, D., & Hurvich, L. M. (1961). Complexities of perceived brightness. Science, 133, 174-179.
73. Jones, J. P., & Palmer, L. A. (1987a). An evaluation of the two-dimensional Gabor filter model of simple receptive fields in cat striate cortex. Journal of Neurophysiology, 58, 1233-1258.
74. Jones, J. P., & Palmer, L. A. (1987b). The two-dimensional spatial structure of simple receptive fields in cat striate cortex. Journal of Neurophysiology, 58, 1187-1211.
75. Kanizsa, G. (1955). Margini quasi-percettivi in campi con stimolazione omogenea. Rivista di Psicologia, 49, 7-30.
76. Kanizsa, G. (1979). Organization in vision: Essays on gestalt perception. New York: Praeger.
77. Kennard, C., Lawden, M., Morland, A. B., & Ruddock, K. H. (1995). Color discrimination and color constancy are impaired in a patient with incomplete achromatopsia associated with prestriate cortical lesions. Proceedings of the Royal Society of London B, 206, 169-175.
78. Kentridge, R. W., Heywood, C. A., & Cowey, A. (2004). Chromatic edges, surfaces and constancies in cerebral achromatopsia. Neuropsychologia, 42, 821-830.
79. Kingdom, F. A. A. (in press). Lightness, brightness, and transparency: A quarter-century of new ideas, captivating demonstrations and unrelenting controversy. Vision Research.
80. Kinoshita, M., & Komatsu, H. (2001). Neural representation of the luminance and brightness of a uniform surface in the macaque primary visual cortex. Journal of Neurophysiology, 86, 2559-2570.
81. Kozaki, A. (1963). A further study in the relationship between brightness constancy and contrast. Japanese Psychological Research, 5, 129-136.
82. Kozaki, A. (1965). The effect of co-existent stimuli other than the test stimulus on brightness constancy. Japanese Psychological Research, 7, 138-147.
83. Krauskopf, J. (1963). Effect of retinal image stabilization on the appearance of heterochromatic targets. Journal of the Optical Society of America, 53, 741-744.
84. Land, E. H. (1977). The Retinex theory of color vision. Scientific American, 237, 108-128.
85. Land, E. H. (1983). Recent advances in Retinex theory and some implications for cortical computations: Color vision and the natural image. Proceedings of the National Academy of Sciences of the United States of America: Physics, 80, 5163-5169.
86. Land, E. H. (1986a). An alternative technique for the computation of the designator in the Retinex theory of color vision. Proceedings of the National Academy of Sciences of the United States of America: Physics, 83, 3078-3080.
87. Land, E. H. (1986b). Recent advances in Retinex theory. Vision Research, 26, 7-21.
88. Land, E. H., & McCann, J. J. (1971). Lightness and Retinex theory. Journal of the Optical Society of America, 61, 1-11.
89. Li, X., & Gilchrist, A. (1999). Relative area and relative luminance combine to anchor surface lightness values. Perception and Psychophysics, 61, 771-785.
90. Marcelja, S. (1980). Mathematical description of the responses of simple cortical cells. Journal of the Optical Society of America, 70, 1297-1300.
91. O'Brien, V. (1958). Contour perception, illusion, and reality. Journal of the Optical Society of America, 48, 112-119.
92. Paradiso, M. A., & Hahn, S. (1996). Filling-in percepts produced by luminance modulation. Vision Research, 36, 2657-2663.
93. Paradiso, M. A., & Nakayama, K. (1991). Brightness perception and filling-in. Vision Research, 31, 1221-1236.
94. Pereverzeva, M., & Murray, S. O. (2009). Distant background information strongly affects lightness perception in dynamic displays. Journal of Vision, 9(2):19, 1-10, http://www.journalofvision.org/content/9/2/19, doi:10.1167/9.2.19.
95. Pessoa, L., Thompson, E., & Noe, A. (1998). Finding out about filling-in: A guide to visual completion for visual science and the philosophy of perception. Behavioral and Brain Sciences, 21, 723-748.
96. Peterhans, E., von der Heydt, R., & Baumgartner, G. (1986). Neuronal responses to illusory contour stimuli reveal stages of visual cortical processing. In J. D. Pettigrew, K. J. Sanderson, & W. R. Levick (Eds.), Visual neuroscience (pp. 343-351). Cambridge, UK: Cambridge University Press.
97. Pinna, B., Brelstaff, G., & Spillmann, L. (2001). Surface color from boundaries: A new "watercolor" illusion. Vision Research, 41, 2669-2676.
98. Redies, C., & Spillmann, L. (1981). The neon color effect in the Ehrenstein illusion. Perception, 10, 667-681.
99. Reid, R. C., & Shapley, R. (1988). Brightness induction by local contrast and the spatial dependence of assimilation. Vision Research, 28, 115-132.
100. Reynolds, J. H., & Heeger, D. J. (2009). The normalization model of attention. Neuron, 61, 168-185.
101. Ringach, D. L. (2002). Spatial structure and symmetry of simple-cell receptive fields in macaque primary visual cortex. Journal of Neurophysiology, 88, 455-463.
102. Robinson, A. E., & de Sa, V. R. (2008). Brief presentations reveal the temporal dynamics of brightness induction and White's illusion. Vision Research, 48, 2370-2381.
103. Ross, W. D., & Pessoa, L. (2000). Lightness from contrast: A selective integration model. Perception and Psychophysics, 62, 1160-1182.
104. Rossi, A. F., & Paradiso, M. A. (1996). Temporal limits of brightness induction and mechanisms of brightness perception. Vision Research, 36, 1391-1398.
105. Rudd, M. E. (2001). Lightness computation by a neural filling-in mechanism. In Human Vision and Electronic Imaging VI, Bernice E. Rogowitz and Thasyvoulos N. Pappas (Eds.), Proceedings of SPIE-IS&T Electronic Imaging, SPIE, 4299, 400-413.
106. Rudd, M. E. (2003a). Neural mechanism of achromatic colour perception: Filling-in, edge integration, and awareness. Perception, 32, 52-53.
107. Rudd, M. E. (2003b). Progress on a computational model of human achromatic color processing. In Human Vision and Electronic Imaging VII, Bernice E. Rogowitz and Thasyvoulos N. Pappas (Eds.), Proceedings of SPIE-IS&T Electronic Imaging, SPIE, 5007, 170-181.
108. Rudd, M. E. (2007). Metacontrast masking and the cortical representation of surface color: Dynamical aspects of edge integration and contrast gain control. Advances in Cognitive Psychology, 3, 327-347.
109. Rudd, M. E., & Arrington, K. F. (2001). Darkness fillingin: A neural model of darkness induction. Vision Research, 41, 3649-3662.
110. Rudd, M. E., & Popa, D. (2007). Stevens' brightness law, contrast gain control, and edge integration in achromatic color perception: A unified model. Journal of the Optical Society of America A: Optics, Image Science, and Vision, 24, 2766-2782.
111. Rudd, M. E., & Zemach, I. K. (2002a). A quantitative model of achromatic color induction based on separate lightness and darkness filling-in processes [Abstract]. Journal of Vision, 2(10):23, 23a, http://www.journalofvision.org/content/2/10/23, doi:10.1167/2.10.23.
112. Rudd, M. E., & Zemach, I. K. (2002b). Contrast, assimilation, and neural edge integration [Abstract]. Journal of Vision, 2(7):199, 199a, http://www.journalofvision.org/content/2/7/199, doi:10.1167/2.7.199.
113. Rudd, M. E., & Zemach, I. K. (2004). Quantitative properties of achromatic color induction: An edge integration analysis. Vision Research, 44, 971-981.
114. Rudd, M. E., & Zemach, I. K. (2005). The highest luminance anchoring rule in achromatic color perception: Some counterexamples and an alternative theory. Journal of Vision, 5(11):5, 983-1003, http://www.journalofvision.org/content/5/11/5, doi:10.1167/5.11.5.
115. Rudd, M. E., & Zemach, I. K. (2007). Contrast polarity and edge integration in achromatic color perception. Journal of the Optical Society of America A, Optics, Image Science, and Vision, 24, 2134-2156.
116. Schirillo, J. A., & Shevell, S. K. (1996). Brightness contrast from inhomogeneous surrounds. Vision Research, 36, 1783-1796.
117. Shapley, R., & Enroth-Cugell, C. (1984). Visual adaptation and retinal gain controls. In N. Osborne & D. Chader (Eds.), Retinal research (vol. 3, pp. 263-346). London: Pergamon Press.
118. Shapley, R., & Reid, R.C. (1985).Contrastand assimilation in the perception of brightness. Proceedings of the National Academy of Sciences of the United States of America, 82, 5983-5986.
119. Shevell, S. K. (2003). Color appearance. In S. K. Shevell (Ed.), The science of color (pp. 149-190). Amsterdam, The Netherlands: Elsevier.
120. Shevell, S. K., & Cao, D. (2003). Chromatic assimilation: Evidence for a neural mechanism. In J. D. Mollon, J. Pokorny, & K. Knoblauch (Eds.), Normal and defective colour vision (pp. 114-121). Oxford, UK: Oxford University Press.
121. Shevell, S. K., Holliday, I., & Whittle, P. (1992). Two separate neural mechanisms of brightness induction. Vision Research, 32, 2331-2340.
122. Smithson, H. E. (2005). Sensory, computational, and cognitive components of human colour constancy. Philosophical Transactions of the Royal Society, 360, 1329-1346.
123. Spehar, B., Gilchrist, A., & Arend, L. (1995). The critical role of relative luminance relations in White's effect and grating induction. Vision Research, 35, 2603-2614.
124. Todorović, D. (1997). Lightness and junctions. Perception, 26, 379-394.
125. Tolhurst, D. A., Movshon, J. A., & Dean, A. F. (1983). The statistical reliability of signals in single neurons of the cat and monkey visual cortex. Vision Research, 23, 775-785.
126. van Tuijl, H. F. J. M. (1975). A new visual illusion: Neonlike color spreading and complementary color induction between subjective contours. Acta Psychologica, 39, 441-445.
127. Varin, D. (1971). Fenomeni di contrasto e diffusione cromatica nell'organizzazione spaziale del campo percettivo. Rivista di Psicologia, 65, 101-128.
128. Vladusich, T., Lucassen, M. P., & Cornelissen, F. W. (2006a). Do cortical neurons process luminance or contrast to encode surface properties? Journal of Neurophysiology, 95, 2638-2649.
129. Vladusich, T., Lucassen, M. P., & Cornelissen, F. W. (2006b). Edge integration and the perception of brightness and darkness. Journal of Vision, 6(10):12, 1126-1145, http://www.journalofvision.org/content/6/10/12, doi:10.11.1167/6.10.12.
130. Vladusich, T., Lucassen, M. P., & Cornelissen, F. W. (2007). Brightness and darkness as perceptual dimensions. PLOS Computational Biology, 3, 1849-1858.
131. von Bezold, W. (1876). The theory of color in its relation to art and art industry. Boston: L. Prang.
132. von der Heydt, R., Zhou, H., & Friedman, H. S. (2003). Neural coding of border ownership: Implications for the theory of figure-ground perception. In M. Behrmann, R. Kimchi, & C.R. Olson (Eds.), Perceptual organization in vision: Behavioral and neural perspectives (pp. 281-304). Mahwah, NJ: Lawrence Erlbaum.
133. von Goethe, J. W. (1810/1970). Theory of colors. (Based on the 1840 English translation of Zur Farbenlehre by C. L. Eastlake). Cambridge, MA: MIT Press.
134. von Helmholtz, H. L. F. (1866/1924). Treatise on physiological optics (J.P.C.Southall,Trans.). Rochester, NY: Optical Society of America.
135. Wallach, H. (1948). Brightness constancy and the nature of achromatic colors. Journal of Experimental Psychology, 38, 310-324.
136. Wallach, H. (1963). The perception of neutral colors. Scientific American, 208, 107-116.
137. Wallach, H. (1976). On perception. New York: Quadrangle Books.
138. Walls, G. (1954). The filling-in process. American Journal of Optometry, 31, 329-340.
139. Walsh, V. (1999). How does the cortex construct color? Proceedings of the National Academy of Sciences of the United States of America, 96, 13594-13596.
140. White, M. (1979). A new effect of pattern on perceived lightness. Perception, 8, 413-416.
141. White, M. (1981). The effect of the nature of the surround on the perceived lightness of grey bars within squarewave test gratings. Perception, 10, 215-230.
142. Yarbus, A. L. (1967). Eye movements and vision. New York: Plenum Press.
143. Yazdanbakhsh, A., Arabzadeh, E., Babadi, B., & Fazl, A. (2002). Munker-White-like illusions without T-junctions. Perception, 31, 711-715.
144. Zeki, S., Aglioti, S., McKeefry, D., & Berlucchi, G. (1999). The neurological basis of conscious color perception in a blind patient. Proceedings of the National Academy of Sciences of the United States of America, 96, 14124-14129.
145. Zeki, S., & Marini, L. (1998). Three cortical stages of colour processing in the human brain. Brain, 121, 1669-1686.
146. Zemach, I. K., & Rudd, M. E. (2007). Effects of surround articulation on lightness depend on the spatial arrangement of the articulated region. Journal of the Optical Society of America A, Optics, Image Science, and Vision, 24, 1830-1841.
147. Zhou, H., Friedman, H. S., & von der Heydt, R. (2000). Coding of border ownership in monkey visual cortex. Journal of Neuroscience, 20, 6594-6611.