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020 _a9783319302621
040 _aES-MaUEC
050 4 _aTA1637.5
_bP484 2016
082 0 4 _a006.3
100 1 _aPeters, James F.
_998829
_0Local
245 1 0 _aComputational Proximity :
_bExcursions in the Topology of Digital Images
_cby James F Peters
260 _aCham
_bSpringer International Publishing
_c2016
300 _a1 recurso en línea (XXVIII, 433 páginas)
_b254 ilustraciones, 39 ilustraciones en color
336 _aTexto
_btxt
_2rdacontent
337 _aelectrónico
_bc
_2rdamedia
338 _arecurso electrónico
_bcr
_2rdacarrier
490 0 _aIntelligent Systems Reference Library
_x1868-4394
_v102
505 0 _aComputational 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 Tessellation Regions -- 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.
520 3 _aThis 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.
650 7 _aProceso de imágenes
_0comprobar BNE19900997218
_2embne
_9669495
710 2 _aSpringerLink (Online service)
_0Local
_9106996
856 4 0 _uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://link.springer.com/book/10.1007/978-3-319-30262-1
_zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
901 _ai9783319302621
907 _a.b12949681
_b10-10-17
_c21-11-16
942 _2lcc
_cLE
945 _aTA1637.5 P484 2016 EB
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