๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Mathematical Problems in Image Processing: Partial Differential Equations And the Calculus of Variations

โœ Scribed by Gilles Aubert, Pierre Kornprobst

Book ID
127433182
Publisher
Springer
Year
2001
Tongue
English
Weight
6 MB
Edition
1
Category
Library
ISBN
0387953264

No coin nor oath required. For personal study only.

โœฆ 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. This book will be useful to researchers and graduate students in mathematics and computer vision.

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This volume contains 18 invited papers by members and guests of the former Sonderforschungsbereich in Bonn (SFB 72) who, over the years, collaborated on the research group "Solution of PDE's and Calculus of Variations". The emphasis is on existence and regularity results, on special equations of mat