A generalization of surfaces family with common spatial geodesic

Kasap E., Akyildiz F. T., ORBAY K.

APPLIED MATHEMATICS AND COMPUTATION, cilt.201, sa.1-2, ss.781-789, 2008 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 201 Sayı: 1-2
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1016/j.amc.2008.01.016
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.781-789
  • Anahtar Kelimeler: surface family, common geodesic, marching-scale functions, ruled surface, SHALLOW-WATER EQUATIONS, NUMERICAL-INTEGRATION
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

We analyzed the problem of constructing a surfaces family from a given spatial geodesic curve as in the work of Wang et al. [G.-J. Wang, K. Tang, C.-L. Tai, Parametric representation of a surface pencil with a common spatial geodesic, Comp. Aided Des. 36 (5) (2004) 447-459], who derived the sufficient condition on the marching-scale functions for which the curve C is an isogeodesic curve on a given surface. They assumed that these functions have a factor decomposition. In this work, we generalized their assumption to more general marching-scale functions and derived the sufficient conditions on them for which the curve C is an isogeodesic curve on a given surface. Finally using generalized marching-scale functions, we demonstrated some surfaces about subject. (c) 2008 Elsevier Inc. All rights reserved.