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- catalog abstract "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.".
- catalog contributor b12390956.
- catalog contributor b12390957.
- catalog created "c2002.".
- catalog date "2002".
- catalog date "c2002.".
- catalog dateCopyrighted "c2002.".
- catalog description "Includes bibliographical references and index.".
- catalog description "Introduction -- Mathematical Preliminaries -- Image Restoration -- The Segmentation Problem -- Other Challenging Applications -- Appendices.".
- catalog description "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.".
- catalog extent "xviii, 286 p. :".
- catalog identifier "0387953264 (alk. paper)".
- catalog isPartOf "Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 147.".
- catalog isPartOf "Applied mathematical sciences ; 147".
- catalog issued "2002".
- catalog issued "c2002.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog subject "621.36/7/0151 21".
- catalog subject "Computer vision.".
- catalog subject "Electronic data processing.".
- catalog subject "Global analysis (Mathematics).".
- catalog subject "Image processing Mathematics.".
- catalog subject "Mathematical optimization.".
- catalog subject "Mathematics.".
- catalog subject "QA1 .A647".
- catalog subject "Systems theory.".
- catalog tableOfContents "Introduction -- Mathematical Preliminaries -- Image Restoration -- The Segmentation Problem -- Other Challenging Applications -- Appendices.".
- catalog title "Mathematical problems in image processing : partial differential equations and the calculus of variations / Gilles Aubert, Pierre Kornprobst.".
- catalog type "text".