Martin W.N., Aggarwal J.K. (eds.) Motion Understanding. Robot and Human Vision

Kluwer, 1988. — 448.The physical processes which initiate and maintain motion have been a major concern of serious investigation throughout the evolution of scientific thought. As early as the fifth century B. C. questions regarding motion were presented as touchstones for the most fundamental concepts about existence. Such wide ranging philosophical issues are beyond the scope of this book, however, consider the paradox of the flying arrow attributed to Zeno of Elea: An arrow is shot from point A to point B requiring a sequence of time instants to traverse the distance. Now, for any time instant, T_i, of the sequence the arrow is at a position, P_i, and at T_i+1 the arrow is at P_i+1, with P_i≠P_i+1. Clearly, each T_i must be a singular time unit at which the arrow is at rest at P_i because if the arrow were moving during T_i there would be a further sequence, T_ik of time instants required for the arrow to traverse the smaller distance. Now, regardless of the level to which this recursive argument is applied, one is left with the flight of the arrow comprising a sequence of positions at which the arrow is at rest. The original intent of presenting this paradox has been interpreted to be as an argument against the possibility of individuated objects moving in space.Bounding Constraint Propagation for Optical Flow Estimation
Image Flow: Fundamentals and Algorithms
A Computational Approach to the
The Empirical Study of Structure from Motion
Motion Estimation Using More Than Two Images
An Experimental Investigation of Estimation Approaches for Optical Flow Fields
The Incremental Rigidity Scheme and Long-Range Motion Correspondence
Some Problems with Correspondence
Recovering Connectivity from Moving Point-Light Displays
Algorithms for Motion Estimation Based on Three-Dimensional Correspondences
Towards a Theory of Motion Understanding in Man and Machine