000754945 000__ 03841cam\a2200457Ii\4500
000754945 001__ 754945
000754945 005__ 20230306141735.0
000754945 006__ m\\\\\o\\d\\\\\\\\
000754945 007__ cr\cn\nnnunnun
000754945 008__ 160426s2016\\\\sz\a\\\\ob\\\\001\0\eng\d
000754945 020__ $$a9783319302621$$q(electronic book)
000754945 020__ $$a3319302620$$q(electronic book)
000754945 020__ $$z9783319302607
000754945 0247_ $$a10.1007/978-3-319-30262-1$$2doi
000754945 035__ $$aSP(OCoLC)ocn947837384
000754945 035__ $$aSP(OCoLC)947837384
000754945 040__ $$aN$T$$beng$$erda$$epn$$cN$T$$dGW5XE$$dYDXCP$$dN$T$$dOCLCO$$dIDEBK$$dEBLCP$$dVT2$$dCOO$$dOCLCF$$dOCLCO
000754945 049__ $$aISEA
000754945 050_4 $$aTA1637.5
000754945 08204 $$a621.36/7$$223
000754945 1001_ $$aPeters, James F.,$$eauthor.
000754945 24510 $$aComputational proximity$$h[electronic resource] :$$bexcursions in the topology of digital images /$$cJames F. Peters.
000754945 264_1 $$aSwitzerland :$$bSpringer,$$c2016.
000754945 300__ $$a1 online resource (xxviii, 433 pages) :$$billustrations.
000754945 336__ $$atext$$btxt$$2rdacontent
000754945 337__ $$acomputer$$bc$$2rdamedia
000754945 338__ $$aonline resource$$bcr$$2rdacarrier
000754945 4901_ $$aIntelligent systems reference library,$$x1868-4394 ;$$vvolume 102
000754945 504__ $$aIncludes bibliographical references and indexes.
000754945 5050_ $$aComputational Proximity -- Proximities Revisited -- Distance and Proximally Continuous.-Image Geometry and Nearness Expressions for Image and Scene Analysis -- Homotopic Maps, Shapes and Borsuk-Ulam Theorem -- Visibility, Hausdorffness, Algebra and Separation Spaces -- Strongly Near Sets and Overlapping Dirichlet Tessellation Regions -- Proximal Manifolds.-Watershed, Smirnov Measure, Fuzzy Proximity and Sorted Near Sets -- Strong Connectedness Revisited -- Helly?s Theorem and Strongly Proximal Helly Theorem -- Nerves and Strongly Near Nerves -- Connnectedness Patterns -- Nerve Patterns- Appendix A: Mathematica and Matlab Scripts -- Appendix B: Kuratowski Closure Axioms -- Appendix C: Sets. A Topological Perspective -- Appendix D: Basics of Proximities -- Appendix E: Set Theory Axioms, Operations and Symbols -- Appendix F: Topology of Digital Images.
000754945 506__ $$aAccess limited to authorized users.
000754945 520__ $$aThis book introduces computational proximity (CP) as an algorithmic approach to finding nonempty sets of points that are either close to each other or far apart. Typically in computational proximity, the book starts with some form of proximity space (topological space equipped with a proximity relation) that has an inherent geometry. In CP, two types of near sets are considered, namely, spatially near sets and descriptivelynear sets. It is shown that connectedness, boundedness, mesh nerves, convexity, shapes and shape theory are principal topics in the study of nearness and separation of physical aswell as abstract sets. CP has a hefty visual content. Applications of CP in computer vision, multimedia, brain activity, biology, social networks, and cosmology are included. The book has been derived from the lectures of the author in a graduate course on the topology of digital images taught over the past several years. Many of the students have provided important insights and valuable suggestions. The topics in this monograph introduce many forms of proximities with a computational flavour (especially, what has become known as the strong contact relation), many nuances of topological spaces, and point-free geometry.
000754945 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed April 26, 2016).
000754945 650_0 $$aImage processing$$xMathematics.
000754945 650_0 $$aImage analysis.
000754945 77608 $$iPrint version:$$z9783319302607
000754945 830_0 $$aIntelligent systems reference library ;$$vv. 102.
000754945 852__ $$bebk
000754945 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-30262-1$$zOnline Access$$91397441.1
000754945 909CO $$ooai:library.usi.edu:754945$$pGLOBAL_SET
000754945 980__ $$aEBOOK
000754945 980__ $$aBIB
000754945 982__ $$aEbook
000754945 983__ $$aOnline
000754945 994__ $$a92$$bISE