The Geometry of Bézier Curves in Minkowski 3−Space

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Ceylan A.

Universal Journal of Mathematics and Applications, cilt.6, sa.1, ss.7-14, 2023 (Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 6 Sayı: 1
• Basım Tarihi: 2023
• Doi Numarası: 10.32323/ujma.1238898
• Dergi Adı: Universal Journal of Mathematics and Applications
• Derginin Tarandığı İndeksler: Scopus
• Sayfa Sayıları: ss.7-14
• Anahtar Kelimeler: Bézier Curve, Curva-ture, Minkowski 3−Space, Serret-Frenet frame
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Akdeniz Üniversitesi Adresli: Evet

Özet

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.