Frenet Frames of Trigonometric Bézier Curves
Turkish Journal of Mathematics and Computer Science, vol.14, no.1, pp.124-128, 2022 (Scopus, TRDizin)
- Publication Type: Article / Article
- Volume: 14 Issue: 1
- Publication Date: 2022
- Doi Number: 10.47000/tjmcs.1015220
- Journal Name: Turkish Journal of Mathematics and Computer Science
- Journal Indexes: Scopus, TR DİZİN (ULAKBİM)
- Page Numbers: pp.124-128
- Keywords: Computer aided geometric design (CAGD), curvature, Frenet frame field, trigonometric Bézier curve, trigonometric polynomial
- Isparta University of Applied Sciences Affiliated: Yes
Abstract
The geometry of curves and surfaces plays a very important role in computer-aided geometric design (CAGD). The goal of this paper is to construct the Frenet frames of trigonometric Bézier curves in Euclidean 2 and 3−space. Especially, the curvatures of these curves are investigated at the beginning and the ending points.