کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4641988 1341325 2008 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the convergence of hybrid polynomial approximation to higher derivatives of rational curves
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
On the convergence of hybrid polynomial approximation to higher derivatives of rational curves
چکیده انگلیسی

In this paper, we derive the bounds on the magnitude of l  th (l=2,3)(l=2,3) order derivatives of rational Bézier curves, estimate the error, in the L∞L∞ norm sense, for the hybrid polynomial approximation of the l  th (l=1,2,3)(l=1,2,3) order derivatives of rational Bézier curves. We then prove that when the hybrid polynomial approximation converges to a given rational Bézier curve, the l  th (l=1,2,3)(l=1,2,3) derivatives of the hybrid polynomial approximation curve also uniformly converge to the corresponding derivatives of the rational curve. These results are useful for designing simpler algorithms for computing tangent vector, curvature vector and torsion vector of rational Bézier curves.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 214, Issue 1, 15 April 2008, Pages 163–174
نویسندگان
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