Interpolation, Box Splines, and Lattice Points in Zonotopes

DOI10.1093/imrn/rnt142zbMath1303.41004arXiv1211.1187OpenAlexW2001256021MaRDI QIDQ2929657

Matthias Lenz

Publication date: 14 November 2014

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.1187

zbMATH Keywords

interpolationzonotopebox splinedeletion-contraction decomposition

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Combinatorial aspects of matroids and geometric lattices (05B35) Spline approximation (41A15)

Related Items (5)

On a Conjecture of Holtz and Ron Concerning Interpolation, Box Splines, and Zonotopes ⋮ Isoperimetric problems for zonotopes ⋮ Polynomial-reproducing spline spaces from fine zonotopal tilings ⋮ Internal zonotopal algebras and the monomial reflection groups \(G(m,1,n)\) ⋮ Splines, lattice points, and arithmetic matroids

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