Mathematical Problems in Image Processing

Partial Differential Equations and the Calculus of Variations

Author: Gilles Aubert,Pierre Kornprobst

Publisher: Springer Science & Business Media

ISBN: 0387953264

Category: Mathematics

Page: 288

View: 3518


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.

Advances in Enterprise Engineering IX

5th Enterprise Engineering Working Conference, EEWC 2015, Prague, Czech Republic, June 15-19, 2015, Proceedings

Author: David Aveiro,Robert Pergl,Michal Valenta

Publisher: Springer

ISBN: 3319192973

Category: Business & Economics

Page: 161

View: 5514


This book constitutes the proceedings of the 5th Enterprise Engineering Working Conference, EEWC 2015, held in Prague, Czech Republic, during May 15–19, 2015. EEWC aims at addressing the challenges that modern and complex enterprises face in a rapidly changing world. The participants of the working conference share a belief that dealing with these challenges requires rigorous and scientific solutions, focusing on the design and engineering of enterprises. The goal of EEWC is to stimulate interaction between the different stakeholders, scientists as well as practitioners, interested in making enterprise engineering a reality. The 10 papers included in this book were presented at EEWC after being carefully reviewed and selected out of 29 submissions. The topics of the presented papers allowed for active participation in interesting discussions and exchange of ideas and stimulated future cooperation among the participants. This made EEWC a real "working conference" contributing to the further development of enterprise engineering as a mature discipline. Topics covered include: enterprise engineering and DEMO; business process management, simulation, and analysis; and complexity, transformation, and modeling.