Dagnino, Catterina; Lamberti, Paola; Remogna, Sara Trivariate quartic splines on type-6 tetrahedral partitions and their applications. (English) Zbl 1329.65046 Commun. Appl. Ind. Math. 3, No. 2, Article ID 443, 9 p. (2012). Summary: 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. Cited in 1 Document MSC: 65D07 Numerical computation using splines Keywords:trivariate spline; quasi-interpolation; type-6 tetrahedral partition; gridded volume data; cubature PDF BibTeX XML Cite \textit{C. Dagnino} et al., Commun. Appl. Ind. Math. 3, No. 2, Article ID 443, 9 p. (2012; Zbl 1329.65046) Full Text: DOI