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Restricted-Orientation Convexity
Hardcover
Series: Monographs in Theoretical Computer Science. an Eatcs
ISBN13: 9783540668152
Publisher: Springer Nature
Published: Dec 9 2003
Pages: 102
Weight: 0.75
Height: 0.31 Width: 6.14 Depth: 9.21
Language: English
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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