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Journals / Politeknik Dergisi / 2026 / Cilt: 27 Sayı: 3

Elliptic Quaternion and Elliptic linear Interpolation

Melisa Rahebi(istanbul topkapi universitesi)0009-0002-9607-4540
Yusuf Yaylı(ANKARA UNIVERSITY)0000-0003-4398-3855
Pages
1189–1195
Publication Date
2024-07-25
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AI Summary & Key Takeaways

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

In addition, ESquad (spline elliptic quaternion interpolation) is defined by using the group structure feature of elliptic quaternion on ellipsoid.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Spherical spline quaternion interpolation has been done on sphere in Euclidean space using quaternions.
📊
Key Findings & Data:In this paper, we have been done elliptic quaternion linear interpolation on ellipsoid using elliptic quaternions.
💡
Conclusion & Impact:In addition, ESquad (spline elliptic quaternion interpolation) is defined by using the group structure feature of elliptic quaternion on ellipsoid.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Kuaterniyonlar · Eliptik Kuaterniyonlar · İnterpolasyon

Abstract

Spherical spline quaternion interpolation has been done on sphere in Euclidean space using quaternions. In this paper, we have been done elliptic quaternion linear interpolation on ellipsoid using elliptic quaternions. This interpolation curve is called Elerp elliptic linear interpolation. In addition, ESquad (spline elliptic quaternion interpolation) is defined by using the group structure feature of elliptic quaternion on ellipsoid.

Özet

Öklid uzayında küre üzerinde kuaterniyonlar kullanılarak küresel spline kuaterniyon enterpolasyonu yapılmıştır. Bu yazıda, eliptik kuaterniyonları kullanarak elipsoid üzerinde eliptik kuaterniyon doğrusal enterpolasyonu yaptık. Bu enterpolasyon eğrisine Elerp eliptik doğrusal enterpolasyon adı verilir. Ayrıca ESquad (spline eliptik kuaterniyon enterpolasyonu), eliptik kuaterniyonun elipsoid üzerinde grup yapısı özelliği kullanılarak tanımlanır.

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Cite This Article

Rahebi, M., Yaylı, Y. (2024). Elliptic Quaternion and Elliptic linear Interpolation. Politeknik Dergisi, Cilt: 27 Sayı: 3, 1189–1195. https://doi.org/10.2339/politeknik.1444759

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