- Turkish Journal of Mathematics and Computer Science
- Vol: 14 Issue: 1
- Frenet Frames of Trigonometric B'ezier Curves
Frenet Frames of Trigonometric B'ezier Curves
Authors : Ayşe Yılmaz CEYLAN, Tunahan TURHAN, Gözde ÖZKAN TÜKEL
Pages : 124-128
Doi:10.47000/tjmcs.1015220
View : 10 | Download : 20
Publication Date : 2022-06-30
Article Type : Research
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 B\'ezier curves in Euclidean $ 2 $ and $ 3- $space. Especially, the curvatures of these curves are investigated at the beginning and the ending points.Keywords : Computer aided geometric design (CAGD), curvature, Frenet frame field, trigonometric Bezier curve, trigonometric polynomial