Overview
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.
The book, Restricted-Orientation Convexity (Monographs in Theoretical Computer Science. An EATCS Series) [Bulk, Wholesale, Quantity] ISBN#9783642623233 in Paperback by Eugene Fink, Derick Wood may be ordered in bulk quantities. Minimum starts at 25 copies. Availability based on publisher status and quantity being ordered.
Details
Format:
Paperback
Publication Date:
11/01/2012
ISBN-13:
9783642623233
Pages:
102
Publisher:
Springer Berlin Heidelberg
