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Computational Proximity

Excursions in the Topology of Digital Images
BuchGebunden
433 Seiten
Englisch
Springererschienen am29.04.20161st ed. 2016
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. In CP, two types of near sets are considered, namely, spatially near sets and descriptivelynear sets.mehr
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BuchKartoniert, Paperback
EUR106,99
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Produkt

KlappentextThis 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. In CP, two types of near sets are considered, namely, spatially near sets and descriptivelynear sets.
Details
ISBN/GTIN978-3-319-30260-7
ProduktartBuch
EinbandartGebunden
Verlag
Erscheinungsjahr2016
Erscheinungsdatum29.04.2016
Auflage1st ed. 2016
ReiheIntelligent Systems Reference Library
Seiten433 Seiten
SpracheEnglisch
Gewicht801 g
IllustrationenXXVIII, 433 p. 254 illus., 39 illus. in color.
Artikel-Nr.36951311

Inhalt/Kritik

Inhaltsverzeichnis
Computational Proximity.- Proximities Revisited.- Distance and Proximally Continuous.-Image Geometry and Nearness Expressions for Image and Scene Analysis.- Homotopic Maps, Shapes and Borsuk-Ulam Theorem.- Visibility, Hausdorffness, Algebra and Separation Spaces.- Strongly Near Sets and Overlapping Dirichlet TessellationRegions.- Proximal Manifolds.-Watershed, Smirnov Measure, Fuzzy Proximity and Sorted Near Sets.- Strong Connectedness Revisited.- Helly´s Theorem and Strongly Proximal Helly Theorem.- Nerves and Strongly Near Nerves.- Connnectedness Patterns.- Nerve Patterns- Appendix A: Mathematica and Matlab Scripts.- Appendix B: Kuratowski Closure Axioms.- Appendix C: Sets. A Topological Perspective.- Appendix D: Basics of Proximities.- Appendix E: Set Theory Axioms, Operations and Symbols.- Appendix F: Topology of Digital Images.mehr