In this paper, we present a method for simplification of arbitrary 3D meshes that is based on Isotropic Quantization of face-normal vectors. There are three stages. Firstly, a cod...
We consider the problem of approximating a convex gure in the plane by a pair (r; R) of homothetic (that is, similar and parallel) rectangles with r C R. We show the existenc...
We consider the existence and efficient construction of bounded curvature paths traversing constant-width regions of the plane, called corridors. We make explicit a width threshol...
We consider the problem of finding the shortest curve in the plane that has unit width. This problem was first posed as the “river shore” puzzle by Ogilvy (1972) and is rela...
Timothy M. Chan, Alexander Golynski, Alejandro L&o...
We introduce a new type of diagram called the VV(c)-diagram (the visibility–Voronoi diagram for clearance c), which is a hybrid between the visibility graph and the Voronoi diag...