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Intelligent Systems Reference Library
cover

Computational Geometry, Topology and Physics of Digital Images with Applications

Shape Complexes, Optical Vortex Nerves and Proximities

Authors: Peters, James F.

  • Offers a clear introduction to the computational topology of digital images
  • Focuses on the application of computational topology in the shape analysis of visual scenes
  • Presents applications of computation topology in a variety of visual contexts and sample solutions to problems with Mathematica and Matlab
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eBook 91,62 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: December 15, 2019
  • ISBN 978-3-030-22192-8
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover 155,99 €
price for Spain (gross)
  • Due: December 15, 2019
  • ISBN 978-3-030-22191-1
  • Free shipping for individuals worldwide
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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.

Buy this book

eBook 91,62 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: December 15, 2019
  • ISBN 978-3-030-22192-8
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover 155,99 €
price for Spain (gross)
  • Due: December 15, 2019
  • ISBN 978-3-030-22191-1
  • Free shipping for individuals worldwide
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Computational Geometry, Topology and Physics of Digital Images with Applications
Book Subtitle
Shape Complexes, Optical Vortex Nerves and Proximities
Authors
Series Title
Intelligent Systems Reference Library
Series Volume
162
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-22192-8
DOI
10.1007/978-3-030-22192-8
Hardcover ISBN
978-3-030-22191-1
Series ISSN
1868-4394
Edition Number
1
Number of Pages
XXV, 440
Number of Illustrations
10 b/w illustrations, 195 illustrations in colour
Topics