The hybrid quintic Bézier tetrahedron Original Research Article

The focus of this paper is the construction of a new tetrahedral patch, which allows an explicit representation but does not require a split of the domain tetrahedra. The patch will be represented as a rational convex combination of a quintic Bézier tetrahedron, where the four inner Bézier points are duplicated. It can be regarded as generalization of the hybrid cubic triangular Bézier patch. The patch is used to represent a C1 trivariate scattered data interpolant to data sampled in a volume.