Abstract | ||
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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 |
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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 Kasap | 1 | 17 | 3.11 |
F. Talay Akyildiz | 2 | 29 | 5.55 |
Keziban Orbay | 3 | 3 | 0.55 |