Abstract:A model that is capable of maintaining the identities of individuated elements as they move is described. It solves a particular problem of underdetermination, the motion correspondence problem, by simultaneously applying 3 constraints: the nearest neighbor principle, the relative velocity principle, and the element integrity principle. The model generates the same correspondence solutions as does the human visual system for a variety of displays, and many of its properties are consistent with what is known about the physiological mechanisms underlying human motion perception. The model can also be viewed as a proposal of how the identities of attentional tags are maintained by visual cognition, and thus it can be differentiated from a system that serves merely to detect movement.
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Database: PsycARTICLESThe How Nevin-Meadows, Don Schopflocher, and Nancy Digdon at the University of Alberta. Comments from Dennis Proffitt and an anonymous reviewer on an earlier version of the manuscript were also extremely useful. I would like to acknowledge Brian Harder, who died during the past year. He began work on this research with me and performed numerous simulation runs and prepared many of the figures.Correspondence may be addressed to: Michael R. W. Dawson, Department of Psychology, University of Alberta, Edmonton, Alberta T6G 2E9 Canada. Electronic mail may be sent to mike@psych.ualberta.ca.Many researchers have described the goal of visual perception as the construction of useful representations about the world (e. g. , Horn, 1986;Marr, 1976Marr, , 1982Ullman, 1979). These representations are derived from the information projected from a three-dimensional visual world (the distal stimulus) onto an essentially twodimensional surface of light receptors in the eyes. The interpretation of the distal stimulus must be determined from the resulting pattern of retinal stimulation (the proximal stimulus).However, the information represented in the proximal stimulus cannot, by itself, completely determine the nature of the distal stimulus. This is because the proximal stimulus does not preserve the full dimensionality of the physical world. The mapping from three-dimensional patterns to two-dimensional patterns is a many-to-one mapping and is not uniquely invertible (see Gregory, 1970;Horn, 1986;Marr, 1982;Richards, 1988). Retinal stimulation geometrically underdetermines interpretations of the physical world. 1Underdetermination can also result because the information available from local measurements of the proximal stimulus is consistent with a large number of different global interpretations. Alone, the local measurements are not sufficient to determine which global interpretation is correct. One example of this is the aperture problem: local measurements of a contour's movement do not by themselves specify the contour's true velocity (e. g. , Hildreth, 1983;Marr & Ullman, 1981). Another example is the stereo correspondence problem: local measurements do not by themselves specify which proxim...