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• W1597413294 abstract "We consider all planar oriented curves that have the following property depending on a fixed angle ϕ. For each point B on the curve, the rest of the curve lies inside a wedge of angle ϕ with apex in B. This property restrains the curve's meandering, and for ϕ ≤ π/2 this means that a point running along the curve always gets closer to all points on the remaining part. For all ϕ < π, we provide an upper bound c(ϕ) for the length of such a curve, divided by the distance between its endpoints, and prove this bound to be tight. A main step is in proving that the curve's length cannot exceed the perimeter of its convex hull, divided by 1 + cos ϕ." @default.
• W1597413294 created "2016-06-24" @default.
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• W1597413294 date "1998-01-01" @default.
• W1597413294 modified "2023-09-27" @default.
• W1597413294 title "Generalized Self-Approaching Curves" @default.
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• W1597413294 doi "https://doi.org/10.1007/3-540-49381-6_34" @default.
• W1597413294 hasPublicationYear "1998" @default.
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