Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus of Variations - Couverture rigide

Aubert, Gilles; Kornprobst, Pierre

Couverture rigide

ISBN 10 : 0387953264 ISBN 13 : 9780387953267

Editeur : Springer-Verlag New York Inc., 2002

Synopsis

Partial differential equations and variational methods were introduced into image processing about 15 years ago, and intensive research has been carried out since then. The main goal of this work is to present the variety of image analysis applications and the precise mathematics involved. It is intended for two audiences. The first is the mathematical community, to show the contribution of mathematics to this domain and to highlight some unresolved theoretical questions. The second is the computer vision community, to present a clear, self-contained, and global overview of the mathematics involved in image processing problems. The book is divided into five main parts. Chapter 1 is a detailed overview. Chapter 2 describes and illustrates most of the mathematical notions found throughout the work. Chapters 3 and 4 examine how PDEs and variational methods can be successfully applied in image restoration and segmentation processes. Chapter 5, which is more applied, describes some challenging computer vision problems, such as sequence analysis or classification. This book will be useful to researchers and graduate students in mathematics and computer vision.

A propos du livre

Présentation de l'éditeur

The 2nd edition presents image analysis applications, outlines their precise mathematics and shows how to discretize them. It reviews progress in image processing applications covered by the PDE framework, and updates the existing material. Also provides programming tools for creating simulations.

Détails de l'édition

• Éditeur: Springer-Verlag New York Inc.
• Date d'édition: 2002
• Langue: anglais
• ISBN 10: 0387953264
• ISBN 13: 9780387953267
• Reliure: Relié
• Nombre de pages: 311
• Coordonnées du fabricant: non disponible