A fast method based on DeMoivre for spherical linear interpolation in Minkowski space

Ghadami R., Rahebi J., YAYLI Y.

Energy Education Science and Technology Part A: Energy Science and Research, cilt.30, sa.SPEC .ISS.1, ss.549-552, 2012 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: SPEC .ISS.1
  • Basım Tarihi: 2012
  • Dergi Adı: Energy Education Science and Technology Part A: Energy Science and Research
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Sayfa Sayıları: ss.549-552
  • Anahtar Kelimeler: De Moivre, Interpolation, Minkowski space, Orientation, Slerp, Split complex number, Split quaternion
  • Ankara Üniversitesi Adresli: Evet

Özet

Using methods derived from De Moivre's theorem for split complex numbers and its extension to split quaternions we consider way of speeding-up methods for implementing incremental spherical linear interpolation of split quaternions in Minkowski space by circumventing the need to compute expensive trigonometric quantities at each increment. © Sila Science.