Convex tours of bounded curvature

Intrinsic Scale Space for Images on Surfaces: The Geodesic Curvature Flow

Based on the geodesic curvature flow of the iso-gray level conbecomes a geodesic or shrinks into a point. We will limit tours of an image painted on the given surface, the image our discussion to smooth Riemannian surfaces which are is evolved and forms the natural geometric scale space. Its convex at infinity (the convex hull of every compact subset geometrical properties are discussed as well...

Fixed points for total asymptotically nonexpansive mappings in a new version of bead ‎space‎

The notion of a bead metric space is defined as a nice generalization of the uniformly convex normed space such as $CAT(0)$ space, where the curvature is bounded from above by zero. In fact, the bead spaces themselves can be considered in particular as natural extensions of convex sets in uniformly convex spaces and normed bead spaces are identical with uniformly convex spaces. In this paper, w...

Convex Hulls of Bounded Curvature

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 reduce...

Some Results on Boundedness in Locally Convex Cones

Finding the Maximum Subset with Bounded Convex Curvature

We describe an algorithm for solving an important geometric problem arising in computer-aided manufacturing. When machining a pocket in a solid piece of material such as steel using a rough tool in a milling machine, sharp convex corners of the pocket cannot be done properly, but have to be left for finer tools that are more expensive to use. We want to determine a tool path that maximizes the ...