Raheleh Ghadami, Javad Rahebi, Yusuf Yayli
Department of Mathematics
Faculty of Science
University of Ankara
Tandoğan, Ankara, TURKEY
Department of Electrical and Electronics
Faculty of Engineering
University of Gazi
Maltepe, Ankara, TURKEY

Abstract. Linear interpolation have been done on sphere Euclidean using quaternions. In this paper,we have done the linear interpolation on Lorentzian sphere Minkowski space using split quaternions. This interpolation curve is called spherical linear interpolation in Minkowski space (slerp). Slerp forms a great arc on the split quaternion unit Lorentzian sphere. That also yields the shortest possible interpolation path between the two split quaternion on the unit Lorentzian sphere.

Received: November 30, 2011

AMS Subject Classification: 51-XX

Key Words and Phrases: quaternions, split quaternions, interpolation, Lorentz-Minkowsi space, timelike vector, slerp

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