Motion Understanding

1. Front Matter

   Pages i-xxi

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2. Bounding Constraint Propagation for Optical Flow Estimation

   • Joseph K. Kearney, William B. Thompson

   Pages 1-21

3. Image Flow: Fundamentals and Algorithms

   • Brian G. Schunck

   Pages 23-80

4. A Computational Approach to the Fusion of Stereopsis and Kineopsis

   • Amar Mitiche

   Pages 81-99

5. The Empirical Study of Structure from Motion

   • Myron L. Braunstein

   Pages 101-142

6. Motion Estimation Using More Than Two Images

   • Hormoz Shariat, Keith Price

   Pages 143-188

7. An Experimental Investigation of Estimation Approaches for Optical Flow Fields

   • W. Enkelmann, R. Kories, H.-H. Nagel, G. Zimmermann

   Pages 189-226

8. The Incremental Rigidity Scheme and Long-Range Motion Correspondence

   • Shimon Ullman

   Pages 227-267

9. Some Problems with Correspondence

   • Michael Jenkin, Paul A. Kolers

   Pages 269-295

10. Recovering Connectivity from Moving Point-Light Displays

    • Dennis R. Proffitt, Bennett I. Bertenthal

    Pages 297-328

11. Algorithms for Motion Estimation Based on Three-Dimensional Correspondences

    • S. D. Blostein, T. S. Huang

    Pages 329-352

12. Towards a Theory of Motion Understanding in Man and Machine

    • John K. Tsotsos, David J. Fleet, Allan D. Jepson

    Pages 353-417

13. Back Matter

    Pages 419-432

    PDF

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 attri­ buted 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, of the sequence the arrow is at a position, Pi' and at Ti+! the i arrow is at Pi+i> with Pi ::I-P+• Clearly, each Ti must be a singular time i 1 unit at which the arrow is at rest at Pi because if the arrow were moving during Ti there would be a further sequence, Til' 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.

• algorithms
• complexity
• computer vision
• display
• distance
• measurement
• robot
• simulation

• University of Virginia, USA

  W. N. Martin

• University of Texas at Austin, USA

  J. K. Aggarwal

Policies and ethics