Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus of Variations
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
2002
|
| Schriftenreihe: | Applied Mathematical Sciences
147 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (XXV, 288 p) |
| ISBN: | 9780387217666 9780387953267 |
| ISSN: | 0066-5452 |
| DOI: | 10.1007/b97428 |
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| discipline | Mathematik |
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| isbn | 9780387217666 9780387953267 |
| issn | 0066-5452 |
| language | English |
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| spelling | Aubert, Gilles Verfasser aut Mathematical Problems in Image Processing Partial Differential Equations and the Calculus of Variations by Gilles Aubert, Pierre Kornprobst New York, NY Springer New York 2002 1 Online-Ressource (XXV, 288 p) txt rdacontent c rdamedia cr rdacarrier Applied Mathematical Sciences 147 0066-5452 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 Mathematics Electronic data processing Computer vision Global analysis (Mathematics) Systems theory Mathematical optimization Analysis Applications of Mathematics Calculus of Variations and Optimal Control; Optimization Systems Theory, Control Computing Methodologies Image Processing and Computer Vision Datenverarbeitung Mathematik Bildverarbeitung (DE-588)4006684-8 gnd rswk-swf Variationsrechnung (DE-588)4062355-5 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Bildverarbeitung (DE-588)4006684-8 s Partielle Differentialgleichung (DE-588)4044779-0 s Variationsrechnung (DE-588)4062355-5 s 1\p DE-604 Kornprobst, Pierre Sonstige oth https://doi.org/10.1007/b97428 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Aubert, Gilles Mathematical Problems in Image Processing Partial Differential Equations and the Calculus of Variations Mathematics Electronic data processing Computer vision Global analysis (Mathematics) Systems theory Mathematical optimization Analysis Applications of Mathematics Calculus of Variations and Optimal Control; Optimization Systems Theory, Control Computing Methodologies Image Processing and Computer Vision Datenverarbeitung Mathematik Bildverarbeitung (DE-588)4006684-8 gnd Variationsrechnung (DE-588)4062355-5 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4006684-8 (DE-588)4062355-5 (DE-588)4044779-0 |
| title | Mathematical Problems in Image Processing Partial Differential Equations and the Calculus of Variations |
| title_auth | Mathematical Problems in Image Processing Partial Differential Equations and the Calculus of Variations |
| title_exact_search | Mathematical Problems in Image Processing Partial Differential Equations and the Calculus of Variations |
| title_full | Mathematical Problems in Image Processing Partial Differential Equations and the Calculus of Variations by Gilles Aubert, Pierre Kornprobst |
| title_fullStr | Mathematical Problems in Image Processing Partial Differential Equations and the Calculus of Variations by Gilles Aubert, Pierre Kornprobst |
| title_full_unstemmed | Mathematical Problems in Image Processing Partial Differential Equations and the Calculus of Variations by Gilles Aubert, Pierre Kornprobst |
| title_short | Mathematical Problems in Image Processing |
| title_sort | mathematical problems in image processing partial differential equations and the calculus of variations |
| title_sub | Partial Differential Equations and the Calculus of Variations |
| topic | Mathematics Electronic data processing Computer vision Global analysis (Mathematics) Systems theory Mathematical optimization Analysis Applications of Mathematics Calculus of Variations and Optimal Control; Optimization Systems Theory, Control Computing Methodologies Image Processing and Computer Vision Datenverarbeitung Mathematik Bildverarbeitung (DE-588)4006684-8 gnd Variationsrechnung (DE-588)4062355-5 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Mathematics Electronic data processing Computer vision Global analysis (Mathematics) Systems theory Mathematical optimization Analysis Applications of Mathematics Calculus of Variations and Optimal Control; Optimization Systems Theory, Control Computing Methodologies Image Processing and Computer Vision Datenverarbeitung Mathematik Bildverarbeitung Variationsrechnung Partielle Differentialgleichung |
| url | https://doi.org/10.1007/b97428 |
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