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.

Restricted-Orientation Convexity (Monographs in Theoretical Computer Science. An EATCS Series)

Computers & Technology

Wood, Derick

Fink, Eugene

Computer Science

Springer

<p>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. </p>

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Books by Fink, Eugene

See the best price to sell, buy, or rent books by Fink, Eugene. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Restricted-Orientation Convexity (Monographs in Theoretical Computer Science. An EATCS Series)

Restricted-Orientation Convexity (Monographs in Theoretical Computer Science. An EATCS Series)