Computer Vision Analysis Of Image Motion By Variational Methods (springer Topics In Signal Processing)
by Amar Mitiche /
2013 / English / PDF
4.9 MB Download
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.
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.
