کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4643415 1341380 2006 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Locally optimal knots and tension parameters for exponential splines
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Locally optimal knots and tension parameters for exponential splines
چکیده انگلیسی

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].

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 196, Issue 1, 1 November 2006, Pages 94–114
نویسندگان
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