کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4639929 | 1341253 | 2011 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Planar cubic G1G1 interpolatory splines with small strain energy
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Planar cubic G1G1 interpolatory splines with small strain energy Planar cubic G1G1 interpolatory splines with small strain energy](/preview/png/4639929.png)
چکیده انگلیسی
In this paper, a classical problem of the construction of a cubic G1G1 continuous interpolatory spline curve is considered. The only data prescribed are interpolation points, while tangent directions are unknown. They are constructed automatically in such a way that a particular minimization of the strain energy of the spline curve is applied. The resulting spline curve is constructed locally and is regular, cusp-, loop- and fold-free. Numerical examples demonstrate that it is satisfactory as far as the shape of the curve is concerned.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 235, Issue 8, 15 February 2011, Pages 2758–2765
Journal: Journal of Computational and Applied Mathematics - Volume 235, Issue 8, 15 February 2011, Pages 2758–2765
نویسندگان
Gašper Jaklič, Emil Žagar,