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A closed PP form of box splines via Green's function decomposition

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Publication:1635263
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DOI10.1016/j.jat.2018.04.002zbMath1392.41006OpenAlexW2802280571WikidataQ129912562 ScholiaQ129912562MaRDI QIDQ1635263

Joshua Horacsek, Usman Alim

Publication date: 6 June 2018

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2018.04.002


zbMATH Keywords

recursive procedurefast evaluation schemesFourier form of Green's functionpiecewise polynomial form of box splines


Mathematics Subject Classification ID

Approximation by polynomials (41A10) Spline approximation (41A15)


Related Items (2)

A practical Box Spline compendium ⋮ Analytic evaluation of the FCC Voronoi-splines


Uses Software

  • SageMath



Cites Work

  • Symmetric box-splines on the \(\mathcal A^*_n\) lattice
  • Fast and stable evaluation of box-splines via the BB-form
  • Box splines
  • On the evaluation of box splines
  • Stable evaluation of box-splines
  • On the Multivariate Horner Scheme
  • On the multivariate Horner scheme. II: Running error analysis




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