Iterative refinement of hierarchical T-meshes for bases of spline spaces with highest order smoothness
نویسندگان
چکیده
منابع مشابه
Iterative refinement of hierarchical T-meshes for bases of spline spaces with highest order smoothness
In this paper we propose a strategy for generating consistent hierarchical T–meshes which allow local refinement and offer a way to obtain spline basis functions with highest order smoothness incrementally. We describe the required ordering of line–segments during refinement and the construction of spline basis functions. We give our strategy for generating consistent hierarchical T–meshes over...
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This paper discusses the dimension of spline spaces S(m,n,m−1, n−1,T ) over certain type of hierarchical T-meshes. The major step is to set up a bijection between the spline space S(m,n,m− 1, n− 1,T ) and a univariate spline space whose definition depends on the l-edges of the extended T-mesh. We decompose the univariate spline space into direct sums in the sense of isomorphism using the theory...
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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 bas...
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ژورنال
عنوان ژورنال: Computer-Aided Design
سال: 2014
ISSN: 0010-4485
DOI: 10.1016/j.cad.2013.10.004