Intelligent Systems Reference Library

Computational Proximity

Excursions in the Topology of Digital Images

Authors: Peters, James F.

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  • Introduces descriptive proximity spaces and the generation of set patterns in proximity spaces, leading to new forms of topological spaces and new forms of algebraic structures such as near groups useful in solving pattern generation, pattern recognition, digital image analysis, retrieval and classification problems
  • Presents a complete framework for the practical applications in descriptive proximity spaces
  • Written by a leading expert in the field
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eBook 117,69 €
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  • ISBN 978-3-319-30262-1
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About this book

This book introduces computational proximity (CP) as an algorithmic approach to finding nonempty sets of points that are either close to each other or far apart. Typically in computational proximity, the book starts with some form of proximity space (topological space equipped with a proximity relation) that has an inherent geometry. In CP, two types of near sets are considered, namely, spatially near sets and descriptivelynear sets. It is shown that connectedness, boundedness, mesh nerves, convexity, shapes and shape theory are principal topics in the study of nearness and separation of physical aswell as abstract sets. CP has a hefty visual content. Applications of CP in computer vision, multimedia, brain activity, biology, social networks, and cosmology are included. The book has been derived from the lectures of the author in a graduate course on the topology of digital images taught over the past several years. Many of the students have provided important insights and valuable suggestions. The topics in this monograph introduce many forms of proximities with a computational flavour (especially, what has become known as the strong contact relation), many nuances of topological spaces, and point-free geometry.

Table of contents (14 chapters)

Table of contents (14 chapters)

Buy this book

eBook 117,69 €
price for India (gross)
  • ISBN 978-3-319-30262-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
Hardcover 149,99 €
price for India (gross)
Softcover 149,99 €
price for India (gross)
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Bibliographic Information

Bibliographic Information
Book Title
Computational Proximity
Book Subtitle
Excursions in the Topology of Digital Images
Authors
Series Title
Intelligent Systems Reference Library
Series Volume
102
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-30262-1
DOI
10.1007/978-3-319-30262-1
Hardcover ISBN
978-3-319-30260-7
Softcover ISBN
978-3-319-80764-5
Series ISSN
1868-4394
Edition Number
1
Number of Pages
XXVIII, 433
Number of Illustrations
215 b/w illustrations, 39 illustrations in colour
Topics