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Journals / Turkish Journal of Mathematics and Computer Science / 2026 / Volume: 14 Issue: 1

Frenet Frames of Trigonometric B'ezier Curves

Ayşe Yılmaz Ceylan(AKDENİZ ÜNİVERSİTESİ)0000-0001-7635-0830
Tunahan Turhan(SÜLEYMAN DEMİREL ÜNİVERSİTESİ)0000-0002-9632-2180
Gözde Özkan Tükel(ISPARTA UYGULAMALI BİLİMLER ÜNİVERSİTESİ, ISPARTA MESLEK YÜKSEKOKULU)0000-0003-1800-5718
Pages
—
Publication Date
2022-06-30
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Especially, the curvatures of these curves are investigated at the beginning and the ending points.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The geometry of curves and surfaces plays a very important role in computer-aided geometric design (CAGD).
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Key Findings & Data:The goal of this paper is to construct the Frenet frames of trigonometric B\'ezier curves in Euclidean $ 2 $ and $ 3- $space.
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Conclusion & Impact:Especially, the curvatures of these curves are investigated at the beginning and the ending points.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Computer aided geometric design (CAGD) · curvature · Frenet frame field

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.

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Cite This Article

Ceylan, A. Y., Turhan, T., Tükel, G. Ö. (2022). Frenet Frames of Trigonometric B'ezier Curves. Turkish Journal of Mathematics and Computer Science, Volume: 14 Issue: 1. https://doi.org/10.47000/tjmcs.1015220

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