Computer Vision Analysis of Image Motion by Variational Methods

  • Amar Mitiche
  • J.K. Aggarwal

Part of the Springer Topics in Signal Processing book series (STSP, volume 10)

Table of contents

  1. Front Matter
    Pages i-vii
  2. Amar Mitiche, J.K Aggarwal
    Pages 1-12
  3. Amar Mitiche, J.K Aggarwal
    Pages 13-40
  4. Amar Mitiche, J.K Aggarwal
    Pages 41-93
  5. Amar Mitiche, J.K Aggarwal
    Pages 95-142
  6. Amar Mitiche, J.K Aggarwal
    Pages 143-173
  7. Amar Mitiche, J.K Aggarwal
    Pages 175-204
  8. Back Matter
    Pages 205-207

About this book


This book presents a unified view of image motion analysis under the variational framework. Variational methods, rooted in physics and mechanics, but appearing in many other domains, such as statistics, control, and computer vision, address a problem from an optimization standpoint, i.e., they formulate it as the optimization of an objective function or functional. The methods of image motion analysis described in this book use the calculus of variations to minimize (or maximize) an objective functional which transcribes all of the constraints that characterize the desired motion variables. The book addresses the four core subjects of motion analysis: Motion estimation, detection, tracking, and three-dimensional interpretation. Each topic is covered in a dedicated chapter. The presentation is prefaced by an introductory chapter which discusses the purpose of motion analysis. Further, a chapter is included which gives the basic tools and formulae related to curvature, Euler Lagrange equations, unconstrained descent optimization, and level sets, that the variational image motion processing methods use repeatedly in the book.


Black–Jepson Method Buxton–Buxton Method Flow Tracking Horn–Schunck Method Lucas–Kanade Method Motion Detection Optical Flow 3d Interpretation Visual Odometry

Authors and affiliations

  • Amar Mitiche
    • 1
  • J.K. Aggarwal
    • 2
  1. 1.INRS-Energie, Matériaux et TélécommunicationsInstitut National de la Recherche ScientifiqueMontrealCanada
  2. 2.Department of Electrical and Computer EngineeringThe University of TexasAustinUSA

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-00710-6
  • Online ISBN 978-3-319-00711-3
  • Series Print ISSN 1866-2609
  • Series Online ISSN 1866-2617
  • About this book