A generalization of surfaces family with common spatial geodesic

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 sufficie...

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Veröffentlicht in:Applied mathematics and computation Jg. 201; H. 1; S. 781 - 789
Hauptverfasser: Kasap, Emin, Akyildiz, F. Talay, Orbay, Keziban
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New York, NY Elsevier Inc 15.07.2008
Elsevier
Schlagworte:
Common geodesic
Differential geometry
Exact sciences and technology
Functions of a complex variable
Geometry
Global analysis, analysis on manifolds
Marching-scale functions
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Ruled surface
Sciences and techniques of general use
Surface family
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
Surface family
Common geodesic
Ruled surface
Marching-scale functions
Numerical analysis
Sufficient condition
Applied mathematics
Decomposition method
Geodesic
Surface
ISSN:0096-3003, 1873-5649
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Zusammenfassung: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.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2008.01.016