introduction to nonlinear systems via second-order differential systems and their quantitative analysis in the phase plane

Notes on Nonlinear Systems

Science & Math

Aggarwal, J.K.

Mathematics

D.Van Nostrand

Computer Methods in Image Analysis

Duda, Richard O.

Rosenfeld, Azrel

Technology

IEEE

<p>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.</p>

Computer Vision Analysis of Image Motion by Variational Methods (Springer Topics in Signal Processing, 10)

Computers & Technology

Mitiche, Amar

Computer Science

Springer

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