Computational Geometry, Topology and Physics of Digital Images with Applications : Shape Complexes, Optical Vortex Nerves and Proximities / by James F. Peters.
2020
Q342
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Online Access
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Unlimited
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Can lend chapters, not whole ebooks
Details
Title
Computational Geometry, Topology and Physics of Digital Images with Applications : Shape Complexes, Optical Vortex Nerves and Proximities / by James F. Peters.
Author
Peters, James F., author
Edition
1st ed. 2020.
ISBN
9783030221928 (electronic book)
303022192X (electronic book)
9783030221911
3030221911
303022192X (electronic book)
9783030221911
3030221911
Published
Cham : Springer International Publishing : Imprint : Springer, 2020.
Language
English
Description
1 online resource (xxv, 440 pages) : illustrations.
Other Standard Identifiers
10.1007/978-3-030-22192-8 doi
10.1007/978-3-030-22
10.1007/978-3-030-22
Call Number
Q342
Dewey Decimal Classification
006.3
Summary
This book discusses the computational geometry, topology and physics of digital images and video frame sequences. This trio of computational approaches encompasses the study of shape complexes, optical vortex nerves and proximities embedded in triangulated video frames and single images, while computational geometry focuses on the geometric structures that infuse triangulated visual scenes. The book first addresses the topology of cellular complexes to provide a basis for an introductory study of the computational topology of visual scenes, exploring the fabric, shapes and structures typically found in visual scenes. The book then examines the inherent geometry and topology of visual scenes, and the fine structure of light and light caustics of visual scenes, which bring into play catastrophe theory and the appearance of light caustic folds and cusps. Following on from this, the book introduces optical vortex nerves in triangulated digital images. In this context, computational physics is synonymous with the study of the fine structure of light choreographed in video frames. This choreography appears as a sequence of snapshots of light reflected and refracted from surface shapes, providing a solid foundation for detecting, analyzing and classifying visual scene shapes.
Access Note
Access limited to authorized users.
Series
Intelligent systems reference library ; 162.
Available in Other Form
3030221911
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Online Access
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Table of Contents
Computational Geometry, Topology and Physics of Visual Scenes
Cell Complexes, Filaments, Vortexes and Shapes Within a Shape
Shape Fingerprints, Geodesic Trails and Free Abelian Groups on Skeletal Vortexes
What Nerve Complexes Tell Us About Image Shapes.
Cell Complexes, Filaments, Vortexes and Shapes Within a Shape
Shape Fingerprints, Geodesic Trails and Free Abelian Groups on Skeletal Vortexes
What Nerve Complexes Tell Us About Image Shapes.