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- W2007030377 abstract "We define the notions of strong convexity and strong visibility. These notions generalize standard convexity and visibility, as well as several types of nontraditional convexity, such as iso-oriented rectangles and C-oriented polygons. We explore the properties of strong convexity and strong visibility in two and three dimensions. In particular, we establish analogs of the following properties of standard convex sets: (1) Every two points of a convex set are visible to each other. (2) The intersection of convex sets is a convex set. (3) For every point in the boundary of a convex set, there exists a supporting plane through this point. (4) A closed convex set in three dimensions is the intersection of all halfspaces that contain it." @default.
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- W2007030377 date "1995-08-11" @default.
- W2007030377 modified "2023-09-23" @default.
- W2007030377 title "<title>Three-dimensional strong convexity and visibility</title>" @default.
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- W2007030377 doi "https://doi.org/10.1117/12.216441" @default.
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