| 000 | 03985nam a22005175i 4500 | ||
|---|---|---|---|
| 001 | 978-3-319-30262-1 | ||
| 003 | DE-He213 | ||
| 005 | 20220801222412.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 160419s2016 sz | s |||| 0|eng d | ||
| 020 |
_a9783319302621 _9978-3-319-30262-1 |
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| 024 | 7 |
_a10.1007/978-3-319-30262-1 _2doi |
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| 050 | 4 | _aQ342 | |
| 072 | 7 |
_aUYQ _2bicssc |
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_aTEC009000 _2bisacsh |
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_aUYQ _2thema |
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_a006.3 _223 |
| 100 | 1 |
_aPeters, James F. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _911752 |
|
| 245 | 1 | 0 |
_aComputational Proximity _h[electronic resource] : _bExcursions in the Topology of Digital Images / _cby James F. Peters. |
| 250 | _a1st ed. 2016. | ||
| 264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2016. |
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| 300 |
_aXXVIII, 433 p. 254 illus., 39 illus. in color. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 |
_aIntelligent Systems Reference Library, _x1868-4408 ; _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 | _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 | 0 |
_aComputational intelligence. _97716 |
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| 650 | 0 |
_aArtificial intelligence. _93407 |
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| 650 | 1 | 4 |
_aComputational Intelligence. _97716 |
| 650 | 2 | 4 |
_aArtificial Intelligence. _93407 |
| 710 | 2 |
_aSpringerLink (Online service) _961299 |
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| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319302607 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319302614 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319807645 |
| 830 | 0 |
_aIntelligent Systems Reference Library, _x1868-4408 ; _v102 _961300 |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-319-30262-1 |
| 912 | _aZDB-2-ENG | ||
| 912 | _aZDB-2-SXE | ||
| 942 | _cEBK | ||
| 999 |
_c80729 _d80729 |
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