Aim of this paper is to present a new class of B-spline like functions with tension properties. The main feature of these basis functions consists in possessing C3 or even C^4 continuity and, at the same time, being endowed by shape parameters that can be easily handled. Therefore they constitute a useful tool to construct curves satisfying some prescribed shape constraints. The construction is based on a geometric approach which uses parametric curves with piecewise quintic components.
Cravero, I., Manni, C., Sampoli, M. (2008). Geometric Construction of Quintic Parametric B-splines. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 221, 355-366 [10.1016/j.cam.2007.10.047].
Geometric Construction of Quintic Parametric B-splines
MANNI, CARLA;
2008-01-01
Abstract
Aim of this paper is to present a new class of B-spline like functions with tension properties. The main feature of these basis functions consists in possessing C3 or even C^4 continuity and, at the same time, being endowed by shape parameters that can be easily handled. Therefore they constitute a useful tool to construct curves satisfying some prescribed shape constraints. The construction is based on a geometric approach which uses parametric curves with piecewise quintic components.Questo articolo è pubblicato sotto una Licenza Licenza Creative Commons
