Authors:
Examines a very timely subject at the core of mathematical imaging, a field growing at enormous speed
State of the art methods in image analysis, image reconstruction and shape analysis, combining analysis, computation, and applications will attract researchers from a broad range of fields (mathematics, computer sciences, engineering,...)
There is no comparable volume on the subjects covered
Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2090)
Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)
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Table of contents (4 chapters)
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Front Matter
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Back Matter
About this book
This book takes readers on a tour through modern methods in image analysis and reconstruction based on level set and PDE techniques, the major focus being on morphological and geometric structures in images. The aspects covered include edge-sharpening image reconstruction and denoising, segmentation and shape analysis in images, and image matching. For each, the lecture notes provide insights into the basic analysis of modern variational and PDE-based techniques, as well as computational aspects and applications.
Keywords
- 94A08,35Q94,68U10,65K10,35J20,45Q05,53C44
- Image Analysis
- Image Reconstruction
- Inverse Problems
- Shape Spaces
- Variational Methods in Imaging
- partial differential equations
Authors and Affiliations
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Institute for Computational and Applied Mathematics, University of Münster, Münster, Germany
Martin Burger
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Scuola Normale Superiore, Pisa, Italy
Andrea C.G. Mennucci
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Department of Mathematics, University of California, Los Angeles, USA
Stanley Osher
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Institute for Numerical Simulation, University of Bonn, Bonn, Germany
Martin Rumpf
Bibliographic Information
Book Title: Level Set and PDE Based Reconstruction Methods in Imaging
Book Subtitle: Cetraro, Italy 2008, Editors: Martin Burger, Stanley Osher
Authors: Martin Burger, Andrea C.G. Mennucci, Stanley Osher, Martin Rumpf
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-01712-9
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2013
Softcover ISBN: 978-3-319-01711-2Published: 28 October 2013
eBook ISBN: 978-3-319-01712-9Published: 17 October 2013
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: VII, 319
Number of Illustrations: 48 b/w illustrations, 40 illustrations in colour
Topics: Differential Equations, Computational Mathematics and Numerical Analysis, Computer Vision