Authors:
Includes geometric features of objects, shade/shadow features, and apparent contours
Analyzes generic changes under viewer movement
Amply illustrated with computer generated images
Yields approach for edge detection where multiple curves meet
Employs singularity theory on semi-analytic stratified spaces
Combines singularity methods with geometry of surfaces
Builds on earlier results in singularity theory and shows necessity of
topological methods
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2165)
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Table of contents (14 chapters)
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Front Matter
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Preliminaries
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Front Matter
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Mathematical Basis for Analysis of Feature-Shade/Shadow-Contours
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Front Matter
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The Classification of Interactions Involving Feature-Shade/Shadow-Contours
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Front Matter
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Classifications of Interactions of Pairs of Feature-Shade/Shadow-Contours
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Front Matter
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Classifications of Multiple Interactions
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Front Matter
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About this book
Keywords
- Natural Images
- Local Features
- Singularity Theory on Stratified Spaces
- Stable Views
- Generic Changes under Viewer Movement
Authors and Affiliations
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Department of Mathematics, University of North Carolina , Chapel Hill, USA
James Damon
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Dept. of Mathematical Sciences, University of Liverpool Dept. of Mathematical Sciences, Liverpool, United Kingdom
Peter Giblin
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Ainsdale, United Kingdom
Gareth Haslinger
Bibliographic Information
Book Title: Local Features in Natural Images via Singularity Theory
Authors: James Damon, Peter Giblin, Gareth Haslinger
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-41471-3
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Softcover ISBN: 978-3-319-41470-6Published: 01 October 2016
eBook ISBN: 978-3-319-41471-3Published: 30 September 2016
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: X, 255
Number of Illustrations: 57 b/w illustrations, 50 illustrations in colour
Topics: Global Analysis and Analysis on Manifolds, Mathematical Applications in Computer Science, Computer Imaging, Vision, Pattern Recognition and Graphics