Elliptic Quaternion and Elliptic linear Interpolation

Yıl 2024, , 1189 - 1195, 25.07.2024

Melisa Rahebi , Yusuf Yaylı

https://doi.org/10.2339/politeknik.1444759

Öz

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.

Anahtar Kelimeler

Quaternions, Elliptic Quaternions, Interpolation, Euclidean Space, Elerp, Spline, Esquad.

Eliptik Kuaterniyon ve Eliptik Lineer İnterpolasyon

Öz

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.

Anahtar Kelimeler

Kuaterniyonlar, Eliptik Kuaterniyonlar, İnterpolasyon, Öklid Uzayı, Elerp, Spline, Esquad.

Kaynakça

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