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Computational Proximity - Excursions in the Topology of Digital Images (Hardcover, 1st ed. 2016)
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Computational Proximity - Excursions in the Topology of Digital Images (Hardcover, 1st ed. 2016)
Series: Intelligent Systems Reference Library, 102
Expected to ship within 10 - 15 working days
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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.
General
Imprint: |
Springer International Publishing AG
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Country of origin: |
Switzerland |
Series: |
Intelligent Systems Reference Library, 102 |
Release date: |
April 2016 |
First published: |
2016 |
Authors: |
James F. Peters
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Dimensions: |
235 x 155 x 25mm (L x W x T) |
Format: |
Hardcover
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Pages: |
433 |
Edition: |
1st ed. 2016 |
ISBN-13: |
978-3-319-30260-7 |
Categories: |
Books >
Computing & IT >
Applications of computing >
Artificial intelligence >
General
|
LSN: |
3-319-30260-4 |
Barcode: |
9783319302607 |
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