Overview
- Transfer result from one application to another between which there is otherwise not much exchange
- Bringing together ideas from applications and theory: Applications can stimulate new basic research, as basic results can be of great use in the applications
- Summarizing the state of the art and major open questions in the field
- Presenting new and innovative work with the capabilities of advancing the field
Part of the book series: Mathematics and Visualization (MATHVISUAL)
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Table of contents (18 papers)
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Front Matter
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Mathematical Foundations
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Front Matter
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Processing, Filtering and Interpolation
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Front Matter
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Visualization
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Front Matter
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Keywords
About this book
Modern imaging techniques and computational simulations yield complex multi-valued data that require higher-order mathematical descriptors. This book addresses topics of importance when dealing with such data, including frameworks for image processing, visualization and statistical analysis of higher-order descriptors. It also provides examples of the successful use of higher-order descriptors in specific applications and a glimpse of the next generation of diffusion MRI. To do so, it combines contributions on new developments, current challenges in this area and state-of-the-art surveys.
Compared to the increasing importance of higher-order descriptors in a range of applications, tools for analysis and processing are still relatively hard to come by. Even though application areas such as medical imaging, fluid dynamics and structural mechanics are very different in nature they face many shared challenges. This book provides an interdisciplinary perspective on this topic with contributions from key researchers in disciplines ranging from visualization and image processing to applications. It is based on the 5th Dagstuhl seminar on Visualization and Processing of Higher Order Descriptors for Multi-Valued Data.
This book will appeal to scientists who are working to develop new analysis methods in the areas of image processing and visualization, as well as those who work with applications that generate higher-order data or could benefit from higher-order models and are searching for novel analytical tools.
Editors and Affiliations
Bibliographic Information
Book Title: Visualization and Processing of Higher Order Descriptors for Multi-Valued Data
Editors: Ingrid Hotz, Thomas Schultz
Series Title: Mathematics and Visualization
DOI: https://doi.org/10.1007/978-3-319-15090-1
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Hardcover ISBN: 978-3-319-15089-5Published: 28 July 2015
Softcover ISBN: 978-3-319-36454-4Published: 15 October 2016
eBook ISBN: 978-3-319-15090-1Published: 03 July 2015
Series ISSN: 1612-3786
Series E-ISSN: 2197-666X
Edition Number: 1
Number of Pages: X, 383
Number of Illustrations: 24 b/w illustrations, 149 illustrations in colour
Topics: Visualization, Linear and Multilinear Algebras, Matrix Theory, Computational Science and Engineering, Image Processing and Computer Vision