Maximal approximation order for a box-spline semi-cardinal interpolation scheme on the three-direction mesh
type: Item
instance of: scholarly article
title: Maximal approximation order for a box-spline semi-cardinal interpolation scheme on the three-direction mesh
zbMATH Open document ID: 1078.41011
author: M. A. Sabin
author: Aurelian Bejancu
published in: Advances in Computational Mathematics
publication date: 2005-03-04T00:00:00Z
review text: The authors study a new-cardinal interpolation scheme which is of the maximal approximation order 4. This scheme is developed for interpolation of a semi-plane lattice using the vertices from a subspace of box-spline space which is generated by centered 3-direction box-spline the direction matrix of which has every multiplicity 2.
reviewed by: Josef Kofroň
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 41A25
Mathematics Subject Classification ID: 41A63
Mathematics Subject Classification ID: 39A70
Mathematics Subject Classification ID: 47B35
zbMATH DE Number: 2140544
zbMATH Keywords: multivariable interpolation
zbMATH Keywords: boundary conditions
zbMATH Keywords: not-a-knot
zbMATH Keywords: semi-cardinal
zbMATH Keywords: approximation order
zbMATH Keywords: difference equations
zbMATH Keywords: Wiener-Hopf
MaRDI profile type: Publication
full work available at URL: s10444-003-2601-7
OpenAlex ID: W2091284938
cites work: Q5200770
cites work: Bivariate cardinal interpolation by splines on a three-direction mesh
cites work: Q5679583
cites work: Q5586768
cites work: Mathematics of Surfaces
cites work: Q5841010
cites work: Q5680530
cites work: Cardinal interpolation and spline functions. VI: Semi-cardinal interpolation and quadrature formulae
DOI: 10.1007/S10444-003-2601-7
description: scientific article; zbMATH DE number 2140544