A discrete methodology for controlling the sign of curvature and torsion for NURBS |
| |
Authors: | Alexandros I Ginnis E I Karousos P D Kaklis |
| |
Affiliation: | 1. School of Naval Architecture and Marine Engineering, National Technical University of Athens, Athens, Greece
|
| |
Abstract: | This paper develops a discrete methodology for approximating the so-called convex domain of a NURBS curve, namely the domain in the ambient space, where a user-specified control point is free to move so that the curvature and torsion retains its sign along the NURBS parametric domain of definition. The methodology provides a monotonic sequence of convex polyhedra, converging from the interior to the convex domain. If the latter is non-empty, a simple algorithm is proposed, that yields a sequence of polytopes converging uniformly to the restriction of the convex domain to any user-specified bounding box. The algorithm is illustrated for a pair of planar and a spatial Bézier configuration. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|