Perceiving geometry: Geometrical illusions explained by natural scene statistics

Perceiving Geometry: Geometrical Illusions Explained by Natural Scene Statistics

Volumn , Issue , 2005, Pages 1-126

  Howe, Catherine Q ^a   Purves, Dale ^a  

^a NONE

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EID: 84919958214     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/b135453     Document Type: Book

References (185)

1. Adelson EH, Bergen JR (1985) Spatiotemporal energy models for the perception of motion. Journal of the Optical Society of America A, Optics, Image Science & Vision 2:284-299.
2. Andrews DP (1967) Perception of contour orientation in the central fovea. I: Short lines. Vision Research 7:975-997.
3. Atick JJ, Redlich AN (1992) What does the retina know about natural scenes? Neural Computation 4:196- 210.
4. Barlow HB (1961) Possible principles underlying the transformation of sensory messages. In: Sensory Communication (Rosenblith WA, ed), pp 217-234. Cambridge, MA: MIT Press.
5. Barlow HB, Blakemore C, Pettigrew JD (1967) The neural mechanism of binocular depth discrimination. Journal of Physiology (London) 193:327-342.
6. Basole A, White LE, Fitzpatrick D (2003) Mapping multiple stimulus features in the population response of visual cortical neurons. Nature 423:986-990.
7. Baylis GC, Rolls ET, Leonard CM (1987) Functional subdivisions of the temporal lobe neocortex. Journal of Neuroscience 4:2051-2062.
8. Bell AJ, Sejnowski TJ (1997) The "independent components" of natural scenes are edge filters. Vision Research 37:3327-3338.
9. Besl PJ (1988) Active, optical range imaging sensors. Mach Vision Appl 1:127-152.
10. Blakemore C, Campbell FW (1969) On the existence of neurons in the human visual system selectively responsive to the orientation and size of retinal images. Journal of Physiology (London) 203:237-260.
11. Blakemore C, Tobin EA (1972) Lateral inhibition between orientation detectors in the cat's visual cortex. Experimental Brain Research 15:439-440.
12. Blakemore C, Carpenter RHS, Georgeson MA (1970) Lateral inhibition between orientation detectors in the human visual system. Nature 228:37-39.
13. Bolles RC (1969) The role of eye movements in the Müller-Lyer Illusion. Perception & Psychophysics 6:175-176.
14. Bouma H, Andriessen JJ (1970) Induced changes in the perceived orientation of line segments. Vision Research 10:333-349.
15. Bross M, Blair R, Longtin P (1978) Assimilation theory, attentive fields, and the Mueller-Lyer Illusion. Perception 7:297-304.
16. Bruce CJ, Desimone R, Gross CG (1981) Visual properties of neurons in a polysensory area in superior temporal sulcus of the macaque. Journal of Neurophysiology 46:369-384.
17. Burns BD, Pritchard R (1971) Geometrical Illusions and the response of neurons in the cat's visual cortex to angle patterns. Journal of Physiology (London) 213:599-616.
18. Campbell FW, Robson JG (1968) Application of Fourier analysis to the visibility of gratings. Journal of Physiology 197:551-566.
19. Carpenter RHS, Blakemore C (1973) Interactions between orientations in human vision. Experimental Brain Research 18:287-303.
20. Carr HA (1935) An introduction to space perception. New York, NY: Longmans, Green.
21. Changizi MA, Widders D (2002) Latency correction explains the classical geometrical Illusions. Perception 31:1241-1262.
22. Chiao CC, Cronin TW, Osorio D (2000) Color signals in natural scenes: Characteristics of reflectance spectra and effects of natural illuminants. Journal of the Optical Society of America A, Optics, Image Science & Vision 17:218-224.
23. Coren S (1971) A size-contrast Illusion without physical size differences. American Journal of Psychology 84:565-566.
24. Coren S, Girgus JS (1978) Seeing is deceiving: The psychology of visual Illusions. Potomac, MD: Lawrence Erlbaum.
25. Coren S, Enns JT (1993) Size contrast as a function of conceptual similarity between test and inducers. Perception & Psychophysics 54:579-588.
26. Cormack EO, Cormack RH (1974) Stimulus configuration and line orientation in the horizontal-vertical Illusion. Perception & Psychophysics 16:208-212.
27. Craven BJ (1993) Orientation dependence of human line-length judgements matches statistical structure in real-world scenes. Proceedings of Royal Society of London Series B, Biological Sciences 253:101-106.
28. Day RH (1972) Visual spatial Illusions: A general explanation. Science 175:1335-1340.
29. Day RH (1973) The Poggendorff Illusion with obtuse and acute angles. Perception&Psychophysics 14:590- 596.
30. Day RH, Dickinson RG (1976) The components of the Poggendorff Illusion. British Journal of Psychology 67:537-552.
31. De Valois RL, De Valois KK (1988) Spatial Vision. New York: Oxford University Press.
32. De Valois RL, Albrecht DG, Thorell LG (1982) Spatial frequency selectivity of cells in macaque visual cortex. Vision Research 22:545-559.
33. DeAngelis GC, Ohzawa I, Freeman RD(1993a) Spatiotemporal organization of simple-cell receptive fields in the cat's striate cortex. I. General characteristics and postnatal development. Journal of Neurophysiology 69:1091-1117.
34. DeAngelis GC, Ohzawa I, Freeman RD (1993b) Spatiotemporal organization of simple-cell receptive fields in the cat's striate cortex. II. Linearity of temporal and spatial summation. Journal of Neurophysiology 69:1118-1135.
35. DeAngelis GC, Freeman RD, Ohzawa I (1994) Length and width tuning of neurons in the cat's primary visual cortex. Journal of Neurophysiology 71:347-374.
36. Delboeuf JLR (1892) 'Sur une nouvelle Illusion d'optique'. Bulletin de l'Academie royale de Belgique 24:545-558.
37. Desimone R, Gross CG (1979) Visual areas in the temporal cortex of the macaque. Brain Research 178:363- 380.
38. Dewar RE (1967) The effect of angle between the oblique lines on the decrement of theMüller-Lyer Illusion with extended practice. Perception & Psychophysics 2:426-428.
39. Dixon MW, Proffitt DR (2002) Overestimation of heights in virtual reality is influenced more by perceived distal size than by the 2-D versus 3-D dimensionality of the display. Perception 31:103-112.
40. Dong DW, Atick JJ (1995) Statistics of natural time-varying images. Network: Computation in Neural Systems 6:345-358.
41. Dragoi V, Sur M (2000) Dynamic properties of recurrent inhibition in primary visual cortex: Contrast and orientation dependence of contextual effects. Journal of Neurophysiology 83:1019-1030.
42. Earlebacher A, Sekuler R (1969) Explanation of the Muller-Lyer Illusion: Confusion theory examined. Journal of Experimental Psychology 80:462-467.
43. Epstein W, Landauer AA (1969) Size and distance judgments under reduced conditions of viewing. Perception & Psychophysics 6:269-272.
44. Evans CR, Marsden RP (1966) A study of the effect of perfect retinal stabilization of some well-known visual Illusions, using the after-image as a method of compensating for eye movements. British Journal of Physiological Optics 23:242-248.
45. Field DJ (1994) What is the goal of sensory coding? Neural Computation 6:559-601.
46. Fisher GH (1969) An experimental study of angular subtension. Quarterly Journal of Experimental Psychology 21:356-366.
47. Fisher GH (1970) An experimental and theoretical appraisal of the perspective and size-constancy theories of Illusions. Quarterly Journal of Experimental Psychology 22:631-652.
48. Fitzpatrick D (2000) Seeing beyond the receptive field in primary visual cortex. Current Opinion in Neurobiology 10:438-443.
49. Foley JM (1985) Binocular distance perception: Egocentric distance tasks. Journal of Experimental Psychology: Human Perception & Performance 11:133-149.
50. Ganz L (1966) Mechanism of the figural after-effects. Psychological Review 73:128-150.
51. Geisler WS, Perry JS, Super BJ, Gallogly DP (2001) Edge co-occurrence in natural images predicts contour grouping performance. Vision Research 41:711-724.
52. Gibson JJ (1950) The perception of the visual world. Boston, MA: Houghton Mifflin.
53. Gibson JJ (1966) The Senses Considered As Perceptual Systems. Boston, MA: Houghton Mifflin.
54. Gibson JJ (1979/1986) The Ecological Approach to Visual Perception. Hillsdale, New Jersey: Lawrence Erlbaum.
55. Gilbert CD, Wiesel TN (1990) The influence of contextual stimuli on the orientation selectivity of cells in primary visual cortex of the cat. Vision Research 30:1689-1701.
56. Gillam B (1971)Adepth processing theory of the Poggendorff Illusion. Perception & Psychophysics 10:211- 216.
57. Gillam B (1995) The perception of spatial layout from static optical information. In: Perception of space and motion (Epstein W, Rogers SJ, eds), pp 23-67. San Diego: Academic Press.
58. Gillam B (1998) Illusions at century's end. In: Perception and Cognition at Century's End, 2nd Edition (Hochberg J, ed), pp 98-136. New York: Academic Press.
59. Girgus JS, Coren S (1975) Depth cues and constancy scaling on the horizontal-vertical Illusion: The bisection error. Canadian Journal of Psychology 29:59-65.
60. Girgus JS, Coren S, Agdern M(1972) The interrelationship between the Ebbinghaus and Delboeuf Illusions. Journal of Experimental Psychology 95:453-455.
61. Gogel WC (1965) Equidistance tendency and its consequences. Psychological Bulletin 64:153-163.
62. Gogel WC, Tietz JD (1979) A comparison of oculomotor and motion parallax cues of egocentric distance. Vision Research 19:1161-1170.
63. Graham N, Nachmias J (1971) Detection of grating patterns containing two spatial frequencies:Acomparison of single-channel and multiple-channels models. Vision Research 11:251-259.
64. Green RT, Stacey BG (1966) Misapplication of the misapplied constancy hypothesis. Life Sciences 5:1871- 1880.
65. Greene E (1994) Collinearity judgment as a function of induction angle. Perceptual & Motor Skills 78:655- 674.
66. Gregory RL (1963) Distortion of visual space as inappropriate constancy scaling. Nature 199:678-780.
67. Gregory RL (1966) Eye and Brain: The Psychology of Seeing. New York: McGraw Hill.
68. Gregory RL (1968) Perceptual Illusions and brain models. Proceedings of Royal Society of London Series B, Biological Sciences 171:279-296.
69. Gregory RL (1974) Concepts and Mechanisms of Perception. London: Duckworth.
70. Gregory RL (1997) Eye and Brain. Princeton, NJ: Princeton University Press.
71. Griggs R (1974) Constancy scaling theory and the Mueller-Lyer Illusion: More disconfirming evidence. Bulletin of the Psychonomic Society 4:168-170.
72. Hartline HK (1969) Visual receptors and retinal interaction. Science 164:270-278.
73. Heeger DJ (1988) Optical flow using spatio-temporal filters. International Journal of Computer Science 1:279-302.
74. Helmholtz HLFv (1866/1924) Helmholtz's Treatise on Physiological Optics, Third German Edition Edition. Rochester, NY: The Optical Society of America.
75. Helson H (1964) Adaptation-level theory. New York: Harper & Row.
76. Hering E (1861) 'Beitrage zur Physiologie'. Leipzig: Engelman.
77. Hershenson M (1999) Visual Space Perception. Cambridge, MA: The MIT Press.
78. Heywood S, Chessell K (1977) Expanding angles? Systematic distortions of space involving angular figures. Perception 6:571-582.
79. 'Higashiyama A (1996) Horizontal and vertical distance perception: The discorded-orientation theory. Perception & Psychophysics 58:259-270.
80. Hotopf WH, Robertson SH (1975) The regression to right angles tendency, lateral inhibition, and the transversals in the Zollner and Poggendorff Illusions. Perception & Psychophysics 18:453-459.
81. Howard RB, Wagner M, Mills RC (1973) The superiority of the pair-comparisons method for scaling visual Illusions. Perception & Psychophysics 13:507-512.
82. Howe CQ, Purves D (2002) Range image statistics can explain the anomalous perception of length. Proceedings of the National Academy of Sciences of the United States of America 99:13184-13188.
83. Howe CQ, Purves D (2004) Size contrast and assimilation explained by the statistics of natural scene geometry. Journal of Cognitive Neuroscience 16:90-102.
84. Howe CQ, Purves D (2005a) Natural scene geometry predicts the perception of angles and line orientation. Proceedings of the National Academy of Sciences of the United States of America 102: 1228-1233.
85. Howe CQ, Purves D (2005b) The Müller-Lyer Illusion explained by the statistics of image-source relationships. Proceedings of the National Academy of Sciences of the United States of America 102:1234- 1239.
86. Howe CQ, Yang Z, Purves D (2005) The Poggendorff Illusion explained by natural scene statistics. Proceedings of the National Academy of Sciences of the United States of America (in press).
87. Hoyer PO, Hyvärinen A (2000) Independent component analysis applied to feature extraction from colour and stereo images. Network: Computation in Neural Systems 11:191-210.
88. Hubel DH (1982) Exploration of the primary visual cortex, 1955-78. Nature 299:515-524.
89. Hubel DH, Wiesel TN (1959) Receptive fields of single neurons in the cat's striate cortex. Journal of Physiology (London) 148:574-591.
90. Hubel DH, Wiesel TN (1962) Receptive fields, binocular interaction and functional architecture in the cat's visual cortex. Journal of Physiology (London) 160:106-154.
91. Hubel DH, Wiesel TN (1968) Receptive fields and functional architecture of monkey striate cortex. Journal of Physiology (London) 195:215-243.
92. Hubel DH, Wiesel TN (1974) Sequence regularity and geometry of orientation columns in the monkey striate cortex. Journal of Comparative Neurology 158:267-294.
93. Hubel DH, Wiesel TN (1977) Ferrier Lecture: Functional architecture of macaque monkey visual cortex. Proceedings of Royal Society of London Series B, Biological Sciences 198:1-59.
94. Ikeda H, Obonai T (1955) Figural after-effect, retroactive effect and simultaneous Illusion. Japanese Journal of Psychology 26:235-246.
95. Indow T (1991) A critical review of Luneburg's model with regard to global structure of visual space. Psychological Review 98:430-453.
96. Jaeger T, Pollack RH (1977) Effect of contrast level and temporal order on the Ebbinghaus circles Illusion. Perception & Psychophysics 21:83-87.
97. Jaeger T, Lorden R (1980) Delboeuf Illusions: Contour or size detector interactions? Perceptual & Motor Skills 50:376-378.
98. Jaeger T, Grasso K (1993) Contour lightness and separation effects in the Ebbinghaus Illusion. Perceptual & Motor Skills 76:255-258.
99. Jones DG, Malik J (1992) Computational framework for determining stereo correspondence from a set of linear spatial filters. Image & Vision Computing 10:699-708.
100. Jordan K, Uhlarik J (1986) Length contrast in the Mueller-Lyer figure: Functional equivalence of temporal and spatial separation. Perception & Psychophysics 39:267-274.
101. Kapadia MK, Westheimer G, Gilbert CD (1999) Dynamics of spatial summation in primary visual cortex of alert monkeys. Proceedings of the National Academy of Sciences of the United States of America 96:12073-12078.
102. Knierim JJ, Van Essen DC (1992) Visual cortex: cartography, connectivity, and concurrent processing. Current Opinion in Neurobiology 2:150-155.
103. Kuennapas TM (1957) The vertical-horizontal Illusion and the visual field. Journal of Experimental Psychology 53:405-407.
104. Kuffler SW (1953) Discharge patterns and functional organization of mammalian retina. Journal of Neurophysiology 16:37-68.
105. Leibowitz H, Toffey S (1966) The effect of rotation and tilt on the magnitude of the Poggendorff Illusion. Vision Research 6:101-103.
106. Lennie P (1998) Single units and visual cortical organization. Perception 27:889-935.
107. Lewis EO (1909) Confluxion and contrast effects in the Mueller-Lyer Illusion. British Journal of Psychology 3:21-41.
108. Li CY, Li W (1994) Extensive integration field beyond the classical receptive field of cat's striate cortical neurons-classification and tuning properties. Vision Research 34:2337-2355.
109. Loomis JM, Da Silva JA, Philbeck JW, Fukusima SS (1996) Visual perception of location and distance. Current Directions in Psychological Science 5:72-77.
110. Luckiesh M (1922) Visual Illusions. Their causes, Characteristics and Applications. New York: D. Van Nostrand Company.
111. Luneburg RK (1947) Mathematical analysis of binocular vision. Princeton, NJ: Princeton University Press.
112. Maclean IE, Stacey BG (1971) Judgment of angle size: An experimental appraisal. Perception & Psychophysics 9:499-504.
113. Malik J, Perona P (1990) Preattentive texture discrimination with early vision mechanisms. Journal of the Optical Society of America A, Optics, Image Science & Vision 7:923-932.
114. Marr D (1982) Vision: A Computational Investigation into Human Representation and Processing of Visual Information. San Francisco: Freeman.
115. Massaro DW, Anderson NH (1971) Judgmental model of the Ebbinghaus Illusion. Journal of Experimental Psychology 89:147-151.
116. Maunsell JHR, Van Essen DC (1983) Functional properties of neurons in middle temporal visual area of the macaque monkey. I. Selectivity for stimulus direction, speed, and orientation. Journal of Neurophysiology 49:1127-1147.
117. McManus IC (1978) The horizontal-vertical Illusion and the square. British Journal of Psychology 69:369- 370.
118. Minnaert MGJ (1937/1992) Light and color in the outdoors. New York: Springer.
119. Morrison JD, Whiteside TC (1984) Binocular cues in the perception of distance of a point source of light. Perception 13:555-566.
120. Morrison LC (1977) Inappropriate constancy scaling as a factor in the Muller-Lyer Illusion. British Journal of Psychology 68:23-27.
121. Movshon JA (1975) The velocity tuning of single units in cat striate cortex. Journal of Physiology 249:445- 468.
122. Movshon JA, Thompson ID, Tolhurst DJ (1978) Receptive field organization of complex cells in the cat's striate cortex. Journal of Physiology 283:79-99.
123. Movshon JA, Adelson EH, Gizzi MS, Newsome WT(1986) The analysis ofmoving visual patterns. In: Pattern Recognition Mechanisms (Chagas C, Gattass R, Gross C, eds), pp 148-163. NewYork: Springer-Verlag.
124. Müller-Lyer FC (1889) 'Optische Urteilstäuschungen'. Archiv fur Anatomie und Physiologie Supplement- Band:263-270.
125. Nakagawa D (1958) Mueller-Lyer Illusion and retinal induction. Psychologia 1:167-174.
126. Nelson JI, Frost BJ (1978) Orientation-selective inhibition from beyond the classic visual receptive field. Brain Research 139:359-365.
127. Nundy S, Lotto B, Coppola D, Shimpi A, Purves D (2000) Why are angles misperceived? Proceedings of the National Academy of Sciences of the United States of America 97:5592-5597.
128. Obonai T (1954) Induction effects in estimates of extent. Journal of Experimental Psychology 47:57-60.
129. Olshausen BA, Field DJ (1996) Emergence of simple-cell receptive field properties by learning a sparse code for natural images. Nature 381:607-609.
130. Olshausen BA, Field DJ (1997) Sparse coding with an over complete basis set: A strategy employed by V1? Vision Research 37:3311-3325.
131. Ooi TL, Wu B, He ZJ (2001) Distance determined by the angular declination below the horizon. Nature 414:197-200.
132. Oppel JJ (1855) 'Über geometrisch-optische Taüschungen'. Jahresbericht des Frankfurter Vereins 1854- 1855, 55:37-47.
133. Owens DA, Leibowitz HW (1976) Oculomotor adjustments in darkness and the specific distance tendency. Perception & Psychophysics 20:2-9.
134. Oyama T (1960) Japanese studies on the so-called geometrical-optical Illusions. Psychologia 3:7-20.
135. Parkhurst DJ, Niebur E (2003) Scene content selected by active vision. Spatial Vision 16:125-154.
136. Pearce D, Matin L (1969) Variation of the magnitude of the horizontal-vertical Illusion with retinal eccentricity. Perception & Psychophysics 6:241-243.
137. Philbeck JW, Loomis JM(1997) Comparison of two indicators of perceived egocentric distance under full-cue and reduced-cue conditions. Journal of Experimental Psychology: Human Perception & Performance 23:72-85.
138. Poggio GF, Gonzalez F, Krause F (1988) Stereoscopic mechanisms in monkey visual cortex: binocular correlation and disparity selectivity. Journal of Neuroscience 8:4531-4550.
139. Pollock WT, Chapanis A (1952) The apparent length of a line as a function of its inclination. Quarterly Journal of Experimental Psychology 4:170-178.
140. Ponzo M (1928) 'Urteilstäuschungenüber Mengen'. Archiv für die gesamte Psychologie 65.
141. Pressey AW (1967) A theory of the Mueller-Lyer Illusion. Perceptual & Motor Skills 25:569-572.
142. Pressey AW (1970) The assimilation theory applied to a modification of the Müller-Lyer Illusion. Perception & Psychophysics 8:411-412.
143. Pressey AW (1977) Measuring the Titchener circles and Delboeuf Illusions with the method of adjustment. Bulletin of the Psychonomic Society 10:118-120.
144. Prinzmetal W, Gettleman L (1993) Vertical-horizontal Illusion: One eye is better than two. Perception & Psychophysics 53:81-88.
145. Purves D, Lichtman JW (1985) Principles of Neural Development. Sunderland, MA: Sinauer.
146. Purves D, Lotto B (2003) Why We See What We Do: An Empirical Theory of Vision. Sunderland, MA: Sinauer.
147. Recanzone GH, Wurtz RH, Schwarz U (1997) Responses of MT and MST neurons to one and two moving objects in the receptive field. Journal of Neurophysiology 78:2904-2915.
148. Restle F, Merryman CT (1968) An adaptation-level theory account of a relative-size Illusion. Psychonomic Science 12:229-230.
149. Robinson JO (1998) The Psychology of Visual Illusion. Mineola, NY: Dover Publications.
150. Rock I (1995) Perception. New York, NY: Scientific American Library.
151. Rolls ET (1984) Neurons in the cortex of the temporal lobe and in the amygdala of the monkey with responses selective for faces. Human Neurobiology 3:209-222.
152. Rolls ET (1994) Brain mechanisms for invariant visual recognition and learning. Behavioural Processes 33:113-138.
153. Ruderman DL, Bialek W(1994) Statistics of natural images: Scaling in the woods. Physical Review Letters 73:814-817.
154. Sceniak MP, Ringach DL, Hawken MJ, Shapley R (1999) Contrast's effect on spatial summation by macaque V1 neurons. Nature Neuroscience 2:733-739.
155. Schiffman HR, Thompson JG (1975) The role of figure orientation and apparent depth in the perception of the horizontal-vertical Illusion. Perception 4:79-83.
156. Schwartz O, Simoncelli EP (2001) Natural signal statistics and sensory gain control. Nature Neuroscience 4:819-825.
157. Seckel A (2000) The Art of Optical Illusions. Carlton Books.
158. Sedgwick HA(1986) Space perception. In: Handbook of Perception and Human Performance:Vol. 1. Sensory processes and perception (Boff KR, Kaufman L, Thomas JP, eds), pp 21.21-21.57. New York: Wiley.
159. Shipley WC, Mann BM, Penfield MJ (1949) The apparent length of tilted lines. Journal of Experimental Psychology 39:548-551.
160. Simoncelli EP, Olshausen BA (2001) Natural image statistics and neural representation. Annual Review of Neuroscience 24:1193-1216.
161. Skottun BC (2000) Amplitude and phase in the Mueller-Lyer Illusion. Perception 29:201-209.
162. Sleight RB, Austin TR (1952) The horizontal-vertical Illusion in plane geometric figures. Journal of Psychology 33:279-287.
163. Tanaka K (1993) Neuronal mechanisms of object recognition. Science 262:685-688.
164. Thiéry A (1896) 'Ü ber geometrisch-optische Taüschungen'. Philosophische Studien 12:67-126.
165. Thorell LG, De Valois RL, Albrecht DG (1984) Spatial mapping of monkey V1 cells with pure color and luminance stimuli. Vision Research 24:751-769.
166. Todd JT, Oomes AH, Koenderink JJ, Kappers AM (2001) On the affine structure of perceptual space. Psychological Science 12:191-196.
167. Tootell RB, Silverman MS, Hamilton SL, De Valois RL, Switkes E (1988) Functional anatomy of macaque striate cortex. III. Color. Journal of Neuroscience 8:1569-1593.
168. Turiel A, Parga N, Ruderman DL, Cronin TW (2001) Multiscaling and information content of natural color images. Physical Review E 62:1138-1148.
169. Van Essen DC, Gallant JL (1994) Neural mechanisms of form and motion processing in the primate visual system. Neuron 13:1-10.
170. Van Hateren JH, Ruderman DL (1998) Independent component analysis of natural image sequences yields spatio-temporal filters similar to simple cells in primary visual cortex. Proceedings of Royal Society of London Series B, Biological Sciences 265:2315-2320.
171. Van Hateren JH, van der Schaaf A (1998) Independent component filters of natural images compared with simple cells in primary visual cortex. Proceedings of Royal Society of London Series B, Biological Sciences 265:359-366.
172. von Collani G (1985) The horizontal-vertical Illusion in photographs of concrete scenes with and without depth information. Perceptual & Motor Skills 61:523-531.
173. Wachtler T, Lee TW, Sejnowski TJ (2001) Chromatic structure of natural scenes. Journal of the Optical Society of America A, Optics, Image Science & Vision 18:65-77.
174. Wagner M (1985) The metric of visual space. Perception & Psychophysics 38:483-495.
175. Wallach H, O'Leary A (1982) Slope of regard as a distance cue. Perception & Psychophysics 31:145-148.
176. Watson AB, Ahumada AJ Jr. (1985) Model of human visual-motion sensing. Journal of the Optical Society of America A, Optics Image Science & Vision 2:322-341.
177. Weintraub DJ, Krantz DH (1971) The Poggendorff Illusion: Amputations, rotations, and other perturbations. Perception & Psychophysics 10:257-264.
178. Wenderoth P, Parkinson A, White D (1979) A comparison of visual tilt Illusions measured by the techniques of vertical setting, parallel matching, and dot alignment. Perception 8:47-57.
179. Worgotter F, Eysel UT (2000) Context, state and the receptive fields of striatal cortex cells. Trends in Neuroscience 23:497-503.
180. WundtW(1862) 'Beiträge zur Theorie der Sinneswahrnehmung'. Leipzig und Heidelberg: C. F.Winter'sche Verlagshandlung.
181. Yang Z, Purves D (2003) A statistical explanation of visual space. Nature Neuroscience 6:632-640.
182. Yarbus AL (1967) Eye Movements and Vision. New York: Plenum Press.
183. Zeki SM (1983a) Colour coding in the cerebral cortex: The reaction of cells in monkey visual cortex to wavelengths and colours. Neuroscience 9:741-765.
184. Zeki SM (1983b) Colour coding in the cerebral cortex: The responses of wavelength-selective and colourcoded cells in monkey visual cortex to changes in wavelength composition. Neuroscience 9:767-781.
185. Zigler E (1960) Size estimates of circles as a function of size of adjacent circles. Perceptual & Motor Skills 11:47-53.