Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 194, Issue 2, Pages 267-283Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cam.2005.07.009
Keywords
spline; Bezier ordinate; dimension; T-mesh
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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 Bezier 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. (c) 2005 Elsevier B.V. All rights reserved.
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