Locally optimal knots and tension parameters for exponential splines

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:196

Article

Riedel, Karl O.

关键词: spline;    tension;    exponential spline;    interpolation;    approximation;   

DOI  :  10.1016/j.cam.2005.08.012

来源: Elsevier

【 摘 要 】

Tension can be applied to cubic splines in order to avoid undesired spurious oscillations. This leads to the well-known (exponential) spline in tension. It is crucial but unfortunately difficult to find suitable tension parameters of interpolating splines in tension. Instead of heuristics, we propose a simultaneous knot placing and tension setting algorithm for least-squares splines in tension which includes interpolating splines in tension as a special case. Moreover, the splines presented here are the foundation of exponential surface splines on fairly arbitrary meshes [K.O. Riedel, Two-dimensional splines on fairly arbitrary meshes, ZAMM-Z. Angew. Math. Mech. 85(3) (2005) 176-188]. (c) 2005 Elsevier B.V. All rights reserved.

【 授权许可】

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