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Journals / Journal of Engineering Technology and Applied Sciences / 2020 / Cilt: 5 Sayı: 3

Some Notes on Geometry of Bézier Curves in Euclidean 4-Space

Esra Erkan(HARRAN ÜNİVERSİTESİ)0000-0003-0456-6418
Salim Yüce(YILDIZ TEKNİK ÜNİVERSİTESİ)0000-0002-8296-6495
Pages
93–101
Publication Date
2020-12-31
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AI Summary & Key Takeaways

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

For this purpose, the Serret-Frenet elements at every point, starting point and ending points are computed.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The main purpose of this paper is to investigate Bézier curves in the Euclidean space $E^4$ with respect to differential geometry.
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Key Findings & Data:The main purpose of this paper is to investigate Bézier curves in the Euclidean space $E^4$ with respect to differential geometry.
💡
Conclusion & Impact:For this purpose, the Serret-Frenet elements at every point, starting point and ending points are computed.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Bezier curve · Serret-Frenet frame · triple (ternary) product

Abstract

The main purpose of this paper is to investigate Bézier curves in the Euclidean space $E^4$ with respect to differential geometry. For this purpose, the Serret-Frenet elements at every point, starting point and ending points are computed.

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Cite This Article

Erkan, E., Yüce, S. (2020). Some Notes on Geometry of Bézier Curves in Euclidean 4-Space. Journal of Engineering Technology and Applied Sciences, Cilt: 5 Sayı: 3, 93–101. https://doi.org/10.30931/jetas.837921

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