On the instability in the dimension of splines spaces over T-meshes |
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| Authors: | Xin Li Falai Chen |
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| Affiliation: | Department of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, PR China |
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| Abstract: | ![]()
The present paper reveals the instability in the dimension of the spline space S(d1,d2,d1−1,d2−1,T) over certain types of T-meshes T, that is, the dimension is related to not only the topological information of T but also the geometry of T. This insight suggests us to pay much attention to the structure of the T-meshes in modeling with splines over T-meshes. |
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| Keywords: | Spline space Dimension T-mesh Smoothing cofactor |
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