Dimensions of spline spaces over non-rectangular T-meshes |
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Authors: | Chao Zeng Meng Wu Fang Deng Jiansong Deng |
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Affiliation: | 1.School of Mathematical Sciences,University of Science and Technology of China,Hefei,China;2.School of Mathematics,Hefei University of Technology,Hefei,China |
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Abstract: | Spline spaces over rectangular T-meshes have been discussed in many papers. In this paper, we consider spline spaces over non-rectangular T-meshes. The dimension formulae of spline spaces over special simply connected T-meshes have been obtained. For T-meshes with holes, we discover a new type of dimension instability. We construct a relationship between the dimension of the spline space over a T-mesh \(\mathcal {T}\) with holes and the dimension of the spline space over a simply connected T-mesh associated with \(\mathcal {T}\). |
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