doi: 10.1685/journal.caim.443

Trivariate quartic splines on type-6 tetrahedral partitions and their applications

Catterina Dagnino, Paola Lamberti, Sara Remogna


In this paper we develop a 3D quasi-interpolating spline scheme, on a bounded domain, based on trivariate quartic C 2 box splines on type-6 tetrahedral partitions. Then, we describe some applications related both to the reconstruction of gridded volume data and to numerical integration. We also provide some numerical tests.

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Communications in Applied and Industrial Mathematics
ISSN: 2038-0909