کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6422477 1632010 2015 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A tetrahedron-based subdivision scheme for spatial G1 curves
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A tetrahedron-based subdivision scheme for spatial G1 curves
چکیده انگلیسی
In this paper, we propose a new “purely geometrical” interpolatory Hermite subdivision scheme for generating spatial subdivision curves which starts with a sequence of points and associated (unit) tangent vectors. The newly generated point lies inside a certain tetrahedron which is formed by the given Hermite data. The method is local and we prove that, by iterating this refinement procedure, the limit curve is G1 continuous. The additional property of the scheme is that planar data are preserved, i.e., planar subdivision curves are generated for planar initial Hermite data and, moreover, the scheme is circle-preserving.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 281, June 2015, Pages 196-206
نویسندگان
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