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A Lower Bound for the Dimension of Trivariate Spline Spaces
Authors:Wai Wah Lau
Affiliation:(1) Department of Mathematics, Seattle Pacific University, 3307 Third Avenue West, Seattle, WA 98119, USA
Abstract:We consider trivariate Cr spline spaces of degree d defined on arbitrary tetrahedral partitions. A lower bound for the dimension of trivariate spline spaces over arbitrary tetrahedral partitions for d > r is computed. This is the first general lower bound known.
Keywords:Multivariate splines  Splines  Dimension  Conformality conditions
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