A practical box spline compendium

Minho Kim, Jörg Peters

Research output: Contribution to journalReview articlepeer-review

1 Scopus citations


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.

Original languageEnglish
Article number128376
JournalApplied Mathematics and Computation
StatePublished - 1 Mar 2024


Dive into the research topics of 'A practical box spline compendium'. Together they form a unique fingerprint.

Cite this