A novel approach for spherical spline split quaternion interpolation on Lorentzian sphere using Bezier curve algorithm

Ghadami R., Rahebi J., YAYLI Y.

Life Science Journal, cilt.9, sa.4, ss.3394-3397, 2012 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 4
  • Basım Tarihi: 2012
  • Dergi Adı: Life Science Journal
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3394-3397
  • Anahtar Kelimeler: Bezier curve, Interpolation, Lorentz-Minkowsi Space, Quaternion, Slerp, Spline, Split Quaternion, Timelike vector
  • Ankara Üniversitesi Adresli: Evet

Özet

This paper presents the spline split quaternion interpolation on Lorentzian spheres. The split quaternions don't have group structure on the Lorentzian sphere, there for not defined squad (spline split quaternion interpolation in Minkowski space). In this paper, we propose a new method for smoothly interpolation on Lorentzian sphere using orthogonal projection and cubic Bezier curve.