A Lower Bound for the Dimension of Trivariate Spline Spaces |
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Authors: | Wai Wah Lau |
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Affiliation: | (1) Department of Mathematics, Seattle Pacific University, 3307 Third Avenue West, Seattle, WA 98119, USA |
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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. |
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Keywords: | Multivariate splines Splines Dimension Conformality conditions |
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