کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
441341 | 691445 | 2006 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Optimal multi-degree reduction of Bézier curves with G2-continuity
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
گرافیک کامپیوتری و طراحی به کمک کامپیوتر
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چکیده انگلیسی
In this paper we present a novel approach to consider the multi-degree reduction of Bézier curves with G2-continuity in L2-norm. The optimal approximation is obtained by minimizing the objective function based on the L2-error between the two curves. In contrast to traditional methods, which typically consider the components of the curve separately, we use geometric information on the curve to generate the degree reduction. So positions, tangents and curvatures are preserved at the two endpoints. For avoiding the singularities at the endpoints, regularization terms are added to the objective function. Finally, numerical examples demonstrate the effectiveness of our algorithms.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Aided Geometric Design - Volume 23, Issue 9, December 2006, Pages 673-683
Journal: Computer Aided Geometric Design - Volume 23, Issue 9, December 2006, Pages 673-683