Elliptic Quaternion and Elliptic linear Interpolation-Reference-Cited by-同舟云学术

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Elliptic Quaternion and Elliptic linear Interpolation

Published:2024-03-11 Issue: Volume: Page:
ISSN:1302-0900
Container-title:Journal of Polytechnic
language:tr
Short-container-title:

Author:

Rahebi Melisa¹^ORCID,Yaylı Yusuf²^ORCID

Affiliation:

1. istanbul topkapi universitesi

2. ANKARA UNIVERSITY

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.

Publisher

Politeknik Dergisi

Reference14 articles.

1. [1] Dam, E. B., Koch M., Lillholm, M., “Quaternions, interpolation and animation”, Technical Report DIKU-TR-98/5 Institute of computer science University of Copenhagen, Denmark, July 17, (1998).

2. [2] Edward P., Jon A, W., “Quaternions in computer vision and robotics”, Technical Report Department of Computer Science, Carnegie-Mellon University, (1982).

3. [3] Eberly, D., “Quaternion Algebra and Calculus”, http://www.geometrictools.com/Documentation/Documentation.html.

4. [4] Ghadami, R., Rahebi, J., Yaylı, Y., “Linear interpolation in Minkowski space”, International Journal of Pure and Applied Mathematics, 77(4): 469-484, (2012).

5. [5] Hamilton, W. R., “Researches respecting quaternions”, Transactions of the Royal Irish Academy 21: 199-296, (1848).

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