Computer Vision Analysis of Image Motion by Variational Methods

1. Front Matter

   Pages i-vii

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2. Image Motion Processing in Visual Function

   • Amar Mitiche, J.K Aggarwal

   Pages 1-12

3. Background Preliminaries

   • Amar Mitiche, J.K Aggarwal

   Pages 13-40

4. Optical Flow Estimation

   • Amar Mitiche, J.K Aggarwal

   Pages 41-93

5. Motion Detection

   • Amar Mitiche, J.K Aggarwal

   Pages 95-142

6. Tracking

   • Amar Mitiche, J.K Aggarwal

   Pages 143-173

7. Optical Flow Three-Dimensional Interpretation

   • Amar Mitiche, J.K Aggarwal

   Pages 175-204

8. Back Matter

   Pages 205-207

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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
• fluid- and aerodynamics

• INRS-Energie, Matériaux et Télécommunications, Institut National de la Recherche Scientifique, Montreal, Canada

  Amar Mitiche

• Department of Electrical and Computer Engineering, The University of Texas, Austin, USA

  J.K. Aggarwal

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