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. The authors explore the properties of this generalized convexity in multidimensional Euclidean space, and describ restricted-orientation analogs of lines, hyperplanes, flats, halfspaces, and identify major properties of standard convex sets that also hold for restricted-orientation convexity. They 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 that of standard convexity.
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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. The authors explore the properties of this generalized convexity in multidimensional Euclidean space, and describ restricted-orientation analogs of lines, hyperplanes, flats, halfspaces, and identify major properties of standard convex sets that also hold for restricted-orientation convexity. They 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 that of standard convexity.
Imprint | Springer-Verlag |
Country of origin | Germany |
Series | Monographs in Theoretical Computer Science. An EATCS Series |
Release date | December 2003 |
Availability | Expected to ship within 10 - 15 working days |
First published | 2004 |
Authors | Eugene Fink, Derick Wood |
Dimensions | 235 x 155 x 7mm (L x W x T) |
Format | Hardcover |
Pages | 102 |
Edition | 2004 ed. |
ISBN-13 | 978-3-540-66815-2 |
Barcode | 9783540668152 |
Categories | |
LSN | 3-540-66815-2 |