کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4640846 | 1341288 | 2009 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Approximating tensor product Bézier surfaces with tangent plane continuity
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Approximating tensor product Bézier surfaces with tangent plane continuity Approximating tensor product Bézier surfaces with tangent plane continuity](/preview/png/4640846.png)
چکیده انگلیسی
We present a simple method for degree reduction of tensor product Bézier surfaces with tangent plane continuity in L2L2-norm. Continuity constraints at the four corners of surfaces are considered, so that the boundary curves preserve endpoints continuity of any order αα. We obtain matrix representations for the control points of the degree reduced surfaces by the least-squares method. A simple optimization scheme that minimizes the perturbations of some related control points is proposed, and the surface patches after adjustment are C∞C∞ continuous in the interior and G1G1 continuous at the common boundaries. We show that this scheme is applicable to surface patches defined on chessboard-like domains.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 231, Issue 1, 1 September 2009, Pages 412–422
Journal: Journal of Computational and Applied Mathematics - Volume 231, Issue 1, 1 September 2009, Pages 412–422
نویسندگان
Lizheng Lu,