کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4626888 | 1631795 | 2015 | 4 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A note on curvature variation minimizing cubic Hermite interpolants
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
In the paper [1], Jaklič and Žagar studied curvature variation minimizing cubic Hermite interpolants. To match planar two-point G1G1 Hermite data, they obtained the optimal cubic curve by minimizing an approximate form of the curvature variation energy. In this paper, we present a simple method for this problem by minimizing the jerk energy, which is also an approximate form of the curvature variation energy. The unique solution can be easily obtained since the jerk energy is represented as a quadratic polynomial of two unknowns and is strictly convex. Finally, we prove that our method is equivalent to their method.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 259, 15 May 2015, Pages 596–599
Journal: Applied Mathematics and Computation - Volume 259, 15 May 2015, Pages 596–599
نویسندگان
Lizheng Lu,