Linear interpolation in minkowski space

Ghadami R., Rahebi J., YAYLI Y.

International Journal of Pure and Applied Mathematics, vol.77, no.4, pp.469-484, 2012 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 77 Issue: 4
  • Publication Date: 2012
  • Journal Name: International Journal of Pure and Applied Mathematics
  • Journal Indexes: Scopus, zbMATH
  • Page Numbers: pp.469-484
  • Keywords: Interpolation, Lorentz-Minkowsi space, Quaternions, Slerp, Split quaternions, Timelike vector
  • Ankara University Affiliated: Yes

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. © 2012 Academic Publications, Ltd.