Overview
- 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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Preliminaries
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Mathematical Basis for Analysis of Feature-Shade/Shadow-Contours
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The Classification of Interactions Involving Feature-Shade/Shadow-Contours
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Classifications of Interactions of Pairs of Feature-Shade/Shadow-Contours
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Classifications of Multiple Interactions
Keywords
About this book
Authors and Affiliations
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