The Dimension of Spline Space S31(Δ) on a Type of Triangulation
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Abstract: A harmonic condition that can distinguish whether the dimension of spline space S31(Δ) depends on the geometrical character of triangulation is presented, then on a type of general triangulation the dimension is got.
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Key words:
- triangulation /
- spline space /
- harmonic condition
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[1] 郭竹端,贾荣庆.多元样条研究中的B网方法[J].数学进展,1990,19(2);189-198. [2] 刘焕文.二元样条的积分表示及分层三角剖分下二次样条空间的维数[J].数学学报,1994,37(4);534-543. [3] Schumaker L L.In:Schemp W, Zeller K Eds.Multivariate Approximation Theory[C].Boston:Birkhouse Verlag, 1979,396-412.
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