Fast Methods for Spherical Linear Interpolation in Minkowski Space

Ghadami R., Rahebi J., Yayly Y.

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, cilt.25, sa.4, ss.863-873, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 4
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1007/s00006-015-0536-y
  • Dergi Adı: ADVANCES IN APPLIED CLIFFORD ALGEBRAS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.863-873
  • Gazi Üniversitesi Adresli: Evet

Özet

Spherical linear interpolation in Minkowski space has got a number of important applications in computer graphics, physics and kinematics. Spherical linear interpolation in Minkowski space involves the computation of trigonometric functions, which are computationally expensive. The computation will be fast since the implementation does not need to evaluate any trigonometric functions in the inner loop. Furthermore, no renormalization is necessary and therefore it is a true spherical interpolation in Minkowski space. We propose that incremental Slerp in Minkowski space. In this paper we demonstrate four different methods for incremental Slerp in Minkowski space.