Convex Hulls of Bounded Curvature

نویسندگان

  • Jean-Daniel Boissonnat
  • Sylvain Lazard
چکیده

In this paper, we consider the problem of computing a convex hull of bounded curvature of a set S of points in the plane, i.e. a set containing S and whose boundary is a curve of bounded curvature of minimal length. We prove that, if the radius of the smallest disk that contains S is greater than 1, such a hull is unique. We show that the computation of a convex hull of bounded curvature reduces to convex programming or to solving a set of algebraic systems.

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تاریخ انتشار 1996