The Geometry of Bézier Curves in Minkowski 3−Space
Universal Journal of Mathematics and Applications, vol.6, no.1, pp.7-14, 2023 (Scopus)
- Publication Type: Article / Article
- Volume: 6 Issue: 1
- Publication Date: 2023
- Doi Number: 10.32323/ujma.1238898
- Journal Name: Universal Journal of Mathematics and Applications
- Journal Indexes: Scopus
- Page Numbers: pp.7-14
- Keywords: Bézier Curve, Curva-ture, Minkowski 3−Space, Serret-Frenet frame
- Open Archive Collection: AVESIS Open Access Collection
- Akdeniz University Affiliated: Yes
Abstract
The scope of this paper is to look at some aspects of the differential geometry of Bézier curves in Minkowski space. For that purpose, we firstly introduce Frenet Bézier curve in Minkowski 3-space. Especially, we investigate the Serret-Frenet frame, curvature and torsion of the Frenet Bézier curves at all points. Moreover, we give the Frenet apparatus of these curves at the end points.