Frenet Frames of Trigonometric Bézier Curves

YILMAZ CEYLAN A., TURHAN T., ÖZKAN TÜKEL G.

Turkish Journal of Mathematics and Computer Science, cilt.14, sa.1, ss.124-128, 2022 (Scopus, TRDizin) identifier identifier

  • 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.