Restricted-Orientation Convexity:
Restricted-orientation convexity is the study of geometric objects whose intersections with lines from some fixed set are connected. This notion generalizes standard convexity and several types of nontraditional convexity. We explore the properties of this generalized convexity in multidimensional E...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2004
|
| Ausgabe: | 1st ed. 2004 |
| Schriftenreihe: | Monographs in Theoretical Computer Science. An EATCS Series
|
| Schlagworte: | |
| Online-Zugang: | UBY01 Volltext |
| Zusammenfassung: | Restricted-orientation convexity is the study of geometric objects whose intersections with lines from some fixed set are connected. This notion generalizes standard convexity and several types of nontraditional convexity. We explore the properties of this generalized convexity in multidimensional Euclidean space, describes restricted-orientation analogs of lines, hyperplanes, flats, and halfspaces, and identify major properties of standard convex sets that also hold for restricted-orientation convexity. We then introduce the notion of strong restricted-orientation convexity, which is an alternative generalization of convexity, and show that its properties are also similar to those of standard convexity |
| Beschreibung: | 1 Online-Ressource (X, 102 p) |
| ISBN: | 9783642188497 |
| DOI: | 10.1007/978-3-642-18849-7 |
Internformat
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| discipline | Informatik Mathematik |
| discipline_str_mv | Informatik Mathematik |
| doi_str_mv | 10.1007/978-3-642-18849-7 |
| edition | 1st ed. 2004 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| index_date | 2024-07-03T16:12:23Z |
| indexdate | 2024-07-10T09:01:35Z |
| institution | BVB |
| isbn | 9783642188497 |
| language | English |
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| publisher | Springer Berlin Heidelberg |
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| spelling | Fink, Eugene Verfasser aut Restricted-Orientation Convexity by Eugene Fink, Derick Wood 1st ed. 2004 Berlin, Heidelberg Springer Berlin Heidelberg 2004 1 Online-Ressource (X, 102 p) txt rdacontent c rdamedia cr rdacarrier Monographs in Theoretical Computer Science. An EATCS Series Restricted-orientation convexity is the study of geometric objects whose intersections with lines from some fixed set are connected. This notion generalizes standard convexity and several types of nontraditional convexity. We explore the properties of this generalized convexity in multidimensional Euclidean space, describes restricted-orientation analogs of lines, hyperplanes, flats, and halfspaces, and identify major properties of standard convex sets that also hold for restricted-orientation convexity. We then introduce the notion of strong restricted-orientation convexity, which is an alternative generalization of convexity, and show that its properties are also similar to those of standard convexity Computation by Abstract Devices Algorithm Analysis and Problem Complexity Computer Graphics Convex and Discrete Geometry Computers Algorithms Computer graphics Convex geometry Discrete geometry Euklidischer Raum (DE-588)4309127-1 gnd rswk-swf Mehrdimensionaler Raum (DE-588)4263161-0 gnd rswk-swf Konvexität (DE-588)4114284-6 gnd rswk-swf Konvexität (DE-588)4114284-6 s Euklidischer Raum (DE-588)4309127-1 s Mehrdimensionaler Raum (DE-588)4263161-0 s DE-604 Wood, Derick aut Erscheint auch als Druck-Ausgabe 9783642623233 Erscheint auch als Druck-Ausgabe 9783540668152 Erscheint auch als Druck-Ausgabe 9783642188503 https://doi.org/10.1007/978-3-642-18849-7 Verlag URL des Eerstveröffentlichers Volltext |
| spellingShingle | Fink, Eugene Wood, Derick Restricted-Orientation Convexity Computation by Abstract Devices Algorithm Analysis and Problem Complexity Computer Graphics Convex and Discrete Geometry Computers Algorithms Computer graphics Convex geometry Discrete geometry Euklidischer Raum (DE-588)4309127-1 gnd Mehrdimensionaler Raum (DE-588)4263161-0 gnd Konvexität (DE-588)4114284-6 gnd |
| subject_GND | (DE-588)4309127-1 (DE-588)4263161-0 (DE-588)4114284-6 |
| title | Restricted-Orientation Convexity |
| title_auth | Restricted-Orientation Convexity |
| title_exact_search | Restricted-Orientation Convexity |
| title_exact_search_txtP | Restricted-Orientation Convexity |
| title_full | Restricted-Orientation Convexity by Eugene Fink, Derick Wood |
| title_fullStr | Restricted-Orientation Convexity by Eugene Fink, Derick Wood |
| title_full_unstemmed | Restricted-Orientation Convexity by Eugene Fink, Derick Wood |
| title_short | Restricted-Orientation Convexity |
| title_sort | restricted orientation convexity |
| topic | Computation by Abstract Devices Algorithm Analysis and Problem Complexity Computer Graphics Convex and Discrete Geometry Computers Algorithms Computer graphics Convex geometry Discrete geometry Euklidischer Raum (DE-588)4309127-1 gnd Mehrdimensionaler Raum (DE-588)4263161-0 gnd Konvexität (DE-588)4114284-6 gnd |
| topic_facet | Computation by Abstract Devices Algorithm Analysis and Problem Complexity Computer Graphics Convex and Discrete Geometry Computers Algorithms Computer graphics Convex geometry Discrete geometry Euklidischer Raum Mehrdimensionaler Raum Konvexität |
| url | https://doi.org/10.1007/978-3-642-18849-7 |
| work_keys_str_mv | AT finkeugene restrictedorientationconvexity AT woodderick restrictedorientationconvexity |