Overview
- Presentation of recent advances in the field of shape analysis
- Written by experts in the field of shape analysis who are part of different communities
- Provides a unique view of the topic from a variety of perspectives?
Part of the book series: Mathematics and Visualization (MATHVISUAL)
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Table of contents (16 papers)
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Front Matter
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Numerical Computing for Shape Analysis
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Front Matter
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Sparse Data Representation and Machine Learning for Shape Analysis
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Front Matter
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Keywords
About this book
Over the last decade, it has become increasingly affordable to digitize shape information at high resolution. Yet analyzing and processing this data remains challenging because of the large amount of data involved, and because modern applications such as human-computer interaction require real-time processing. Meeting these challenges requires interdisciplinary approaches that combine concepts from a variety of research areas, including numerical computing, differential geometry, deformable shape modeling, sparse data representation, and machine learning. On the algorithmic side, many shape analysis tasks are modeled using partial differential equations, which can be solved using tools from the field of numerical computing. The fields of differential geometry and deformable shape modeling have recently begun to influence shape analysis methods. Furthermore, tools from the field of sparse representations, which aim to describe input data using a compressible representation with respect to a set of carefully selected basic elements, have the potential to significantly reduce the amount of data that needs to be processed in shape analysis tasks. The related field of machine learning offers similar potential.
The goal of the Dagstuhl Seminar on New Perspectives in Shape Analysis held in February 2014 was to address these challenges with the help of the latest tools related to geometric, algorithmic and numerical concepts and to bring together researchers at the forefront of shape analysis who can work together to identify open problems and novel solutions. The book resulting from this seminar will appeal to researchers in the field of shape analysis,image and vision, from those who want to become more familiar with the field, to experts interested in learning about the latest advances.
Editors and Affiliations
Bibliographic Information
Book Title: Perspectives in Shape Analysis
Editors: Michael Breuß, Alfred Bruckstein, Petros Maragos, Stefanie Wuhrer
Series Title: Mathematics and Visualization
DOI: https://doi.org/10.1007/978-3-319-24726-7
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-24724-3Published: 01 October 2016
Softcover ISBN: 978-3-319-79667-3Published: 14 June 2018
eBook ISBN: 978-3-319-24726-7Published: 30 September 2016
Series ISSN: 1612-3786
Series E-ISSN: 2197-666X
Edition Number: 1
Number of Pages: XVII, 370
Number of Illustrations: 62 b/w illustrations, 82 illustrations in colour
Topics: Differential Geometry, Computer Graphics, Computational Mathematics and Numerical Analysis, Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences