Elliptic Quaternion and Elliptic linear Interpolation

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Politeknik Dergisi
Volume:27 Issue:3
Elliptic Quaternion and Elliptic linear Interpolation

Elliptic Quaternion and Elliptic linear Interpolation

Authors : Melisa Rahebi, Yusuf Yaylı

Pages : 1189-1195

Doi:10.2339/politeknik.1444759

View : 147 | Download : 236

Publication Date : 2024-07-25

Article Type : Research Paper

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

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