C 1 Quintic Splines on Type-4 Tetrahedral Partitions |
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| Authors: | Schumaker Larry L. Sorokina Tatyana |
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| Affiliation: | 1. Center for Constructive Approximation, Department of Mathematics, Vanderbilt University, Nashville, TN, 37240, USA
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| Abstract: | Starting with a partition of a rectangular box into subboxes, it is shown how to construct a natural tetrahedral (type-4) partition and associated trivariate C 1 quintic polynomial spline spaces with a variety of useful properties, including stable local bases and full approximation power. It is also shown how the spaces can be used to solve certain Hermite and Lagrange interpolation problems. |
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