In this paper, we introduce a generalized version of the Watchman Route Problem (WRP) where the objective is to plan a continuous closed route in a polygon (possibly with holes) a...
Let P be a set of n points in general position in the plane. Let Xk(P ) denote the number of empty convex k-gons determined by P. We derive, using elementary proof techniques, sev...
This paper presents work in progress and continues a project devoted to developing shape modeling system based on implementation of radial based function (RBF) technology. In this...
Vladimir V. Savchenko, Irina B. Semenova, Nikita K...
In this paper we present an approach to obstacle avoidance and local path planning for polygonal robots. It decomposes the task into a model stage and a planning stage. The model ...
Kai Oliver Arras, Jan Persson, Nicola Tomatis, Rol...
We consider the separability of two point sets inside a polygon by means of chords or geodesic lines. Specifically, given a set of red points and a set of blue points in the inte...
Erik D. Demaine, Jeff Erickson, Ferran Hurtado, Jo...