Restricted-orientation half-spaces

Eugene Fink, Derick Wood · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1996

Restricted-orientation convexity, also called O-convexity, is the study of geometric objects whose intersection with lines from some fixed set is empty or connected. We introduce restricted-orientation halfspaces, which are an O- convexity analog of halfspaces, explore their properties, and demonstrate their relationship to restricted-orientation convex sets.

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