Overview
- Provides a unique compilation of mathematical methodologies, both statistical as well as deterministic, for a variety of applications in signal and image analysis, and offers insight by emphasizing conceptual relations and formal analogies
- May serve as a source of inspiration for anyone seeking a solid foundation for applications in computer vision or medical imaging, or models of visual perception
- Originates from a EURANDOM workshop and thus presents state-of-the-art quality research
- Includes supplementary material: sn.pub/extras
Part of the book series: Computational Imaging and Vision (CIVI, volume 41)
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Table of contents (16 chapters)
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Front Matter
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Back Matter
Keywords
About this book
Mathematical Methods for Signal and Image Analysis and Representation presents the mathematical methodology for generic image analysis tasks. In the context of this book an image may be any m-dimensional empirical signal living on an n-dimensional smooth manifold (typically, but not necessarily, a subset of spacetime). The existing literature on image methodology is rather scattered and often limited to either a deterministic or a statistical point of view. In contrast, this book brings together these seemingly different points of view in order to stress their conceptual relations and formal analogies.
Furthermore, it does not focus on specific applications, although some are detailed for the sake of illustration, but on the methodological frameworks on which such applications are built, making it an ideal companion for those seeking a rigorous methodological basis for specific algorithms as well as for those interested in the fundamental methodology per se.
Covering many topics at the forefront of current research, including anisotropic diffusion filtering of tensor fields, this book will be of particular interest to graduate and postgraduate students and researchers in the fields of computer vision, medical imaging and visual perception.
Editors and Affiliations
Bibliographic Information
Book Title: Mathematical Methods for Signal and Image Analysis and Representation
Editors: Luc Florack, Remco Duits, Geurt Jongbloed, Marie-Colette Lieshout, Laurie Davies
Series Title: Computational Imaging and Vision
DOI: https://doi.org/10.1007/978-1-4471-2353-8
Publisher: Springer London
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag London Limited 2012
Hardcover ISBN: 978-1-4471-2352-1Published: 13 January 2012
Softcover ISBN: 978-1-4471-5890-5Published: 22 February 2014
eBook ISBN: 978-1-4471-2353-8Published: 12 January 2012
Series ISSN: 1381-6446
Edition Number: 1
Number of Pages: XII, 320
Topics: Mathematics, general, Image Processing and Computer Vision, Mathematical Applications in Computer Science