Frenet Frames of Trigonometric Bézier Curves
Turkish Journal of Mathematics and Computer Science, cilt.14, sa.1, ss.124-128, 2022 (Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 14 Sayı: 1
- Basım Tarihi: 2022
- Doi Numarası: 10.47000/tjmcs.1015220
- Dergi Adı: Turkish Journal of Mathematics and Computer Science
- Derginin Tarandığı İndeksler: Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.124-128
- Anahtar Kelimeler: Computer aided geometric design (CAGD), curvature, Frenet frame field, trigonometric Bézier curve, trigonometric polynomial
- Isparta Uygulamalı Bilimler Üniversitesi Adresli: Evet
Özet
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.