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Journals / Turkish Journal of Mathematics and Computer Science / 2022 / Volume: 14 Issue: 2

On the Bertrand Mate of Cubic Bezier Curve by Using Matrix Representation in $\mathbf{E}^{3}$

Şeyda Kılıçoglu(BASKENT UNIVERSITY)0000-0003-0252-1574
Süleyman Şenyurt(ORDU ÜNİVERSİTESİ)0000-0003-1097-5541
Pages
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Publication Date
2022-12-30
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⚡ TL;DR(Too Long; Didn't Read)

Frenet vector fields and also curvatures of Bertrand mate of the cubic Bezier curve are examined based on the Frenet apparatus of the first cubic Bezier curve in $E^3$.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we have examined Bertrand mate of a cubic Bezier curve based on the control points with matrix form in $E^3$.
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Key Findings & Data:In this study, we have examined Bertrand mate of a cubic Bezier curve based on the control points with matrix form in $E^3$.
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Conclusion & Impact:Frenet vector fields and also curvatures of Bertrand mate of the cubic Bezier curve are examined based on the Frenet apparatus of the first cubic Bezier curve in $E^3$.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Bezier curves · Bertrand mate · cubic Bezier curve

Abstract

In this study, we have examined Bertrand mate of a cubic Bezier curve based on the control points with matrix form in $E^3$. Frenet vector fields and also curvatures of Bertrand mate of the cubic Bezier curve are examined based on the Frenet apparatus of the first cubic Bezier curve in $E^3$.

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Cite This Article

Kılıçoglu, Ş., Şenyurt, S. (2022). On the Bertrand Mate of Cubic Bezier Curve by Using Matrix Representation in $\mathbf{E}^{3}$. Turkish Journal of Mathematics and Computer Science, Volume: 14 Issue: 2. https://doi.org/10.47000/tjmcs.984372

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