Title
A generalization of surfaces family with common spatial geodesic
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.
Year
DOI
Venue
2008
10.1016/j.amc.2008.01.016
Applied Mathematics and Computation
Keywords
Field
DocType
Surface family,Common geodesic,Marching-scale functions,Ruled surface
Curve fitting,Mathematical analysis,Decomposition method (constraint satisfaction),Parametric statistics,Pencil (mathematics),Numerical analysis,Geodesic,Mathematics,Parallel curve,Ruled surface
Journal
Volume
Issue
ISSN
201
1
0096-3003
Citations 
PageRank 
References 
3
0.55
6
Authors
3
Name
Order
Citations
PageRank
Emin Kasap1173.11
F. Talay Akyildiz2295.55
Keziban Orbay330.55