13 citations · 21 across the 4 of their papers we have counts for
5 papers · 1 filter
Construction of cubic splines on arbitrary triangulations
Tom Lyche, Carla Manni, Hendrik Speleers
In this paper, we address the problem of constructing cubic spline functions on a given arbitrary triangulation . To this end, we endow every triangle of $\mathc…
B-spline-like bases for cubics on the Powell-Sabin 12-split
Tom Lyche, Georg Muntingh
For spaces of constant, linear, and quadratic splines of maximal smoothness on the Powell-Sabin 12-split of a triangle, the so-called S-bases were recently introduced. These are si…
Local approximation operators on box meshes
Andrea Bressan, Tom Lyche
This paper analyzes the approximation properties of spaces of piece-wise tensor product polynomials over box meshes with a focus on application to IsoGeometric Analysis (IGA). The…
Stable simplex spline bases for quintics on the Powell-Sabin 12-split
Tom Lyche, Georg Muntingh
For the space of quintics on the Powell-Sabin 12-split of a triangle, we determine explicitly the six symmetric simplex spline bases that reduce to a B-spline basis on each e…
A Hermite interpolatory subdivision scheme for -quintics on the Powell-Sabin 12-split
Tom Lyche, Georg Muntingh
In order to construct a -quadratic spline over an arbitrary triangulation, one can split each triangle into 12 subtriangles, resulting in a finer triangulation known as the Po…