Linear interpolation in minkowski space

Ghadami R., Rahebi J., YAYLI Y.

International Journal of Pure and Applied Mathematics, cilt.77, sa.4, ss.469-484, 2012 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 77 Sayı: 4
  • Basım Tarihi: 2012
  • Dergi Adı: International Journal of Pure and Applied Mathematics
  • Derginin Tarandığı İndeksler: Scopus, zbMATH
  • Sayfa Sayıları: ss.469-484
  • Anahtar Kelimeler: Interpolation, Lorentz-Minkowsi space, Quaternions, Slerp, Split quaternions, Timelike vector
  • Ankara Üniversitesi Adresli: Evet

Özet

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.