Given a collection C of curves in the plane, the arrangement of C is the subdivision of the plane into vertices, edges and faces induced by the curves in C. Constructing arrangemen...
The purpose of this paper is to provide sufficient geometric conditions that imply the existence of a cubic parametric polynomial curve which interpolates six points in the plane....
We modify the Reyes object-space shading approach to address two inefficiencies that result from performing shading calculations at micropolygon grid vertices prior to rasterizati...
Christopher A. Burns, Kayvon Fatahalian, William R...
In this paper, we study the problem of constructing a family of surfaces from a given spatial geodesic curve. We derive a parametric representation for a surface pencil whose memb...
A method is proposed to generate an isolation for a plane curve, which is a set of boxes covering the curve, having the same topology as the curve, and approximating the curve to a...