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- W2026157097 abstract "A set S is called if, for all points P, Q of S, the line segment PQ is contained in S. A simple closed planar curve and a simple closed surface are not by this definition, but they are called convex if they are boundaries of sets, and similarly a planar arc is called convex if it is a subset of the boundary of a set. This concept of convexity is ordinarily defined only for planar arcs, but we show that it can also be used in 3D. Points on the boundary of a set--in particular, points of a convex curve or surface--have useful visibility and accessibility properties. We establish some of these properties, and also characterize some special classes of convex space arcs and curves." @default.
- W2026157097 created "2016-06-24" @default.
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- W2026157097 date "2003-11-01" @default.
- W2026157097 modified "2023-09-26" @default.
- W2026157097 title "Convexity properties of space curves" @default.
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- W2026157097 doi "https://doi.org/10.1016/s0167-8655(03)00096-5" @default.
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