Computational Proximity

Excursions in the Topology of Digital Images

Häftad, Engelska, 2018

Av James F. Peters

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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. In CP, two types of near sets are considered, namely, spatially near sets and descriptivelynear sets.

Produktinformation

Utgivningsdatum2018-04-22
Mått155 x 235 x 25 mm
Vikt698 g
FormatHäftad
SpråkEngelska
SerieIntelligent Systems Reference Library
Antal sidor433
FörlagSpringer International Publishing AG
ISBN9783319807645

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Artificiell intelligens inom Data och it

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.