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Journals / Mathematical Sciences and Applications E-Notes / 2016 / Cilt: 4 - Sayı: 2

Bézier Curve with a Minimal Jerk Energy

Hale ERİŞKİN
Ahmet YÜCESAN
Pages
139–148
Publication Date
2016-10-30
DOI
—
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AI Summary & Key Takeaways

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

Furthermore, for such a Bézier curve we obtain a general form of its matrix represention.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We provide a method in order to determine a Bézier curve with a minimal jerk energy by means of associated matrices.
📊
Key Findings & Data:By way of an application, we show that the unknown control points of the Bézier curve having a minimal jerk energy can be written as a linear combination of the known control points.
💡
Conclusion & Impact:Furthermore, for such a Bézier curve we obtain a general form of its matrix represention.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Bézier curve · minimal jerk energy · control points

Abstract

We provide a method in order to determine a Bézier curve with a minimal jerk energy by means of associated matrices. By way of an application, we show that the unknown control points of the Bézier curve having a minimal jerk energy can be written as a linear combination of the known control points. Furthermore, for such a Bézier curve we obtain a general form of its matrix represention.

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Cite This Article

ERİŞKİN, H., YÜCESAN, A. (2016). Bézier Curve with a Minimal Jerk Energy. Mathematical Sciences and Applications E-Notes, Cilt: 4 - Sayı: 2, 139–148. https://ajindex.com/articles/690749

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