A generalization of surfaces family with common spatial geodesic

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

APPLIED MATHEMATICS AND COMPUTATION, vol.201, no.1-2, pp.781-789, 2008 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 201 Issue: 1-2
  • Publication Date: 2008
  • Doi Number: 10.1016/j.amc.2008.01.016
  • Journal Name: APPLIED MATHEMATICS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.781-789
  • Keywords: surface family, common geodesic, marching-scale functions, ruled surface, SHALLOW-WATER EQUATIONS, NUMERICAL-INTEGRATION
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

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.