IJPAM: Volume 77, No. 4 (2012)

LINEAR INTERPOLATION IN MINKOWSKI SPACE

Raheleh Ghadami$^1$, Javad Rahebi$^2$, Yusuf Yayli$^3$
$^{1,3}$Department of Mathematics
Faculty of Science
University of Ankara
Tandoğan, Ankara, TURKEY
$^2$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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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 77
Issue: 4