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.
Original language | English |
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Article number | 128376 |
Journal | Applied Mathematics and Computation |
Volume | 464 |
DOIs | |
State | Published - 1 Mar 2024 |