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Motion Understanding

Robot and Human Vision

  • W. N. Martin
  • J. K. Aggarwal

Table of contents

  1. Front Matter
    Pages i-xxi
  2. Joseph K. Kearney, William B. Thompson
    Pages 1-21
  3. Brian G. Schunck
    Pages 23-80
  4. Myron L. Braunstein
    Pages 101-142
  5. Hormoz Shariat, Keith Price
    Pages 143-188
  6. W. Enkelmann, R. Kories, H.-H. Nagel, G. Zimmermann
    Pages 189-226
  7. Michael Jenkin, Paul A. Kolers
    Pages 269-295
  8. Dennis R. Proffitt, Bennett I. Bertenthal
    Pages 297-328
  9. John K. Tsotsos, David J. Fleet, Allan D. Jepson
    Pages 353-417
  10. Back Matter
    Pages 419-432

About this book

Introduction

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.

Keywords

algorithms complexity computer vision display distance measurement robot simulation

Editors and affiliations

  • W. N. Martin
    • 1
  • J. K. Aggarwal
    • 2
  1. 1.University of VirginiaUSA
  2. 2.University of Texas at AustinUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4613-1071-6
  • Copyright Information Springer-Verlag US 1988
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-8413-0
  • Online ISBN 978-1-4613-1071-6
  • Series Print ISSN 0893-3405
  • Buy this book on publisher's site
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