Titlebook: Restricted-Orientation Convexity; Eugene Fink,Derick Wood Book 2004 Springer-Verlag Berlin Heidelberg 2004 Euclidean geometry.Generalized

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書(shū)目名稱Restricted-Orientation Convexity影響因子(影響力)




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moribund

Closing Remarks,We have defined two generalizations of convexity in higher dimensions, called O-convexity and strong O-convexity, and investigated their properties. We conclude with a summary of the main results (Sect. 7.1), related conjectures (Sect. 7.2), and directions for future research (Sect. 7.3).

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天賦

Computational Problems,ernels, and identifying the regions visible from a given point. Researchers addressed the analogous standard-convexity problems in the early days of computational geometry; for example, consult the text of Preparata and Shamos [34]. They also developed similar techniques for several types of non-traditional convexity, including planar O-convexity.

稀釋前

aesthetician

Generalized Halfspaces, them with standard halfspaces (Sect. 5.1). Then, we define directed O-halfspaces, which are a subclass of O-halfspaces with several special properties (Sect. 5.2). Finally, we characterize O-halfspaces in terms of their boundaries (Sect. 5.3) and complements (Sect. 5.4).

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Strong Convexity,ve a condition for the equivalence of two orientation sets (Sect. 6.2). Finally, we study strongly O-convex halfspaces and characterize strongly O-convex sets through halfspace intersections (Sect. 6.3).

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