Conclusion

The problem of rationalizing motion perception, as in other domains of vision, is the inevitable ambiguity of images, in this case the ambiguity of any sequence of images projected onto the central retina. The observer must respond appropriately to the stimulus, but the sequence of retinal images does not allow a definite determination of the physical movement of the source. Vision scientists and others have long struggled to explain how this uncertainty might be resolved. At the same time, psychologists have sought to explain perceptual anomalies in perceived motion, much effort having been devoted to anomalies of speed apparent in the flash-lag effect and the anomalies of perceived direction elicited by viewing moving objects through apertures. Neither approach has been particularly successful in rationalizing these phenomena. A more radical approach is the idea that motion percepts are fully determined by past experience with frequency of projections associated with moving objects in the 3-D by virtue of the relative success of subsequent behavior. As a result, the perceived speed and direction of object motion should coincide with the image speed and direction generated by the source associated most consistently with any given image sequence in the past. The fact that many motion percepts can be accounted for in this way supports the conclusion that the visual system is indeed using a wholly empirical strategy to generate essentially reflexive perceptions of moving objects. As in the parallel explanations of lightness/brightness, color, form and depth, the relationship between projection frequency and the unknowable sources to which behavior must be directed is presumably instantiated in visual system circuitry through behavioral feedback during evolution.

References

Adelson, E.H. , Bergen, J.K. Spatiotemporal energy models for the perception of motion.  J. Opt. Soc. Am.  2, 284-299 (1985).
Braddick, O. (1974). A short-range process in apparent motion.  Vision Research, 14: 519-528.
Brünswik, E. (1952/1955) The conceptual framework of psychology. In: International Encyclopedia of Unified Science (Neurath O, Carnap R, Morris C, eds.) pp.665-760.  Chicago: University of Chicago Press.
Dong DW, Atick JJ (1995) Statistics of natural time-varying images. Network: Computation in Neural Systems 6:345-358.
Eagleman, D.M. & Sejnowski, T.J. (2000a). Motion integration and postdiction in visual awareness. Science, 287: 2036-2038.
Eagleman, D.M. , Sejnowski, T.J. (2000b). The position of moving objects. Response. Science, 289: 1107a.
Eagleman, D.M. , Sejnowski, T.J. (2002). Untangling spatial from temporal illusions. Trends in Neurosciences, 25: 293.
Eagleman DM, Sejnowski TJ (2007). Motion signals bias position judgments: A unified explanation for the flash-lag, flash-drag, flash-jump and Frohlich effects. Journal of Vision. 7(4): 1-12.
Hildreth, E. (1984) The Measurement of Visual Motion.  Cambridge, MA:  MIT Press.
Horn, B.K.P. , Schunck, B.G. Determining optical flow, Artif. Intell. 17, 185-203  (1981).
Howe, C.Q., Lotto, R.B., Purves, D. (2006). Comparison of Bayesian and empirical ranking approaches to visual perception. Journal of Theoretical Biology, 241: 866-875.
Hubel DH, Wiesel TN  (1977) Ferrier lecture:  Functional architecture of macaque monkey visual cortex. Phi T Roy B 198:1-59.
Khurana, B. , Nijhawan, R. (1995). Extrapolation or attention shift? Reply. Nature, 378: 555-556.
Khurana, B., Watanabe, K. , Nijhawan, R. (2000). The role of attention in motion extrapolation: Are moving objects ‘corrected’ or flashed objects attentionally delayed? Perception, 29: 675-692.
Knill, D.C. , Richards, W. (eds.). Perception as Bayesian Inference (Cambridge Univ. Press, Cambridge, UK, 1996).
Lu, Z.L. , Sperling, G. (1995).  The functional architecture of human visual motion perception.  Vision Research, 35(19): 2697-2722.
Movshon JA, Adelson EH, Gizzi MS, Newsome WT (1986) The analysis of moving visual patterns. In: Pattern Recognition Mechanisms (Chagas C, Gattass R, Gross C, eds), pp 148-163. New York: Springer-Verlag.
Nakayama K, Silverman GH (1988) The aperture problem: II Spatial integration of velocity information along contours. Vision Res 28:747-753.
Nijhawan, R. (1994). Motion extrapolation in catching. Nature, 370: 256-257.
Nijhawan, R. (1997). Visual decomposition of colour through motion extrapolation. Nature, 386: 66-69.
Rust, N.C., Mante, V., Simoncelli, E.P., & Movshon, J.A. (2006). How MT cells analyze the motion of visual patterns. Nature Neuroscience, 9(11): 1421-1431.
Shimojo, S., Silverman, G.H., , Nakayama, K. (1989).  Occlusion and the solution to the aperture problem for motion.  Vision Research, 29: 619-626.
Stocker, A.A. , Simoncelli, E.P. Noise characteristics and prior expectations in human visual speed perception. Nat. Neurosci. 9, 578-585 (2006).
Sung K et al (2008) An empirical explanation of aperture effects (in press)
Stumpf P (1911) Über die Abhangigkeit der visuellen Bewegungsrichtung und negativen Nachbildes von den Reizvorgangen auf der Netzhaut. Zeitschrift fur Psychologie, 59:321-330. A gem from the past: Pleikart Stumpf's 1911 anticipation of the aperture problem, Reichardt detectors, and perceived motion loss at equiluminance. (Todorovic D, transl) Perception (1996) 25:1235-1242.
Ullman, S. (1979).  The interpretation of visual motion. Cambridge, MA: MIT Press.
Wallach H (1935/1996) Über visuell wahrgenommene Bewegungsrichtung. Psychologische Forscheung, 20:325-380. On the visually perceived direction of motion
by Hans Wallach: 60 years later. (Wuerger S, Shapley R, Rubin N, transl) Perception 25:1317-1367. 
Wojtach W et al (2008) An empirical explanation of the flash-lag effect PNAS, 105(42): 16338-16343.