کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4643013 1341364 2006 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Dimensions of spline spaces over T-meshes
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Dimensions of spline spaces over T-meshes
چکیده انگلیسی

A T-mesh is basically a rectangular grid that allows T-junctions. In this paper, we propose a method based on Bézier nets to calculate the dimension of a spline function space over a T-mesh. When the order of the smoothness is less than half of the degree of the spline functions, a dimension formula is derived which involves only the topological quantities of the T-mesh. The construction of basis functions is briefly discussed. Furthermore, the dimension formulae for T-meshes after mesh operations, such as edge insertion and mesh merging, are also obtained.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 194, Issue 2, 1 October 2006, Pages 267–283
نویسندگان
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