A practical box spline compendium

Minho Kim and Jörg Peters

Applied Mathematics and Computation, 2024, vol. 464, issue C

Abstract: Box splines provide smooth spline spaces as shifts of a single generating function on a lattice and so generalize tensor-product splines. Their elegant theory is laid out in classical papers and a summarizing book. This compendium adds a succinct but exhaustive survey of the important sub-space of symmetric low-degree box splines on symmetric lattices with special focus on two and three variables. Tables contrast the complexity in terms of support size and polynomial degree, analytic and reconstruction properties, and list available implementations and code.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:464:y:2024:i:c:s0096300323005453

DOI: 10.1016/j.amc.2023.128376

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