Computer Vision Analysis of Image Motion by Variational Methods

✍ Scribed by Amar Mitiche, J.K. Aggarwal (auth.)

• Publisher: Springer International Publishing
• Year: 2014
• Tongue: English
• Leaves: 212
• Series: Springer Topics in Signal Processing 10
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-vii
Image Motion Processing in Visual Function....Pages 1-12
Background Preliminaries....Pages 13-40
Optical Flow Estimation....Pages 41-93
Motion Detection....Pages 95-142
Tracking....Pages 143-173
Optical Flow Three-Dimensional Interpretation....Pages 175-204
Back Matter....Pages 205-207

✦ Subjects

Signal, Image and Speech Processing;Fluid- and Aerodynamics;Engineering Fluid Dynamics