Abstract. We study the grid size that is needed to represent intersection graphs of convex polygons. Here the polygons are similar to a base polygon P whose corners have rational c...
We propose a strategy to decompose a polygon, containing zero or more holes, into “approximately convex” pieces. For many applications, the approximately convex components of ...
This paper presents the Hierarchical Walk, or H-Walk algorithm, which maintains the distance between two moving convex bodies by exploiting both motion coherence and hierarchical ...
Morse theory shows how the topology of an implicit surface is affected by its function’s critical points, whereas catastrophe theory shows how these critical points behave as th...
A method is presented to broaden implicit surface modeling. The implicit surfaces usually employed in computer graphics are two dimensional manifolds because they are defined by r...