Cubic spline quasi-interpolants on powell-sabin partitions
type: Item
instance of: scholarly article
title: Cubic spline quasi-interpolants on powell-sabin partitions
zbMATH Open document ID: 1308.41010
author: A. Lamnii
author: M. Lamnii
author: H. Mraoui
published in: BIT
publication date: 2015-01-16T00:00:00Z
review text: The authors introduce a family of quasi-interpolants that are based on bivariate \(C^1\)-cubic super splines defined on triangulations which possess a Powell-Sabin refinement. It is shown that the spline coefficients depend solely on a set of local function values, and that the quasi-interpolants reproduce cubic polynomials with optimal accuracy. Some numerical results are also presented.
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 65D17
zbMATH DE Number: 6387222
zbMATH Keywords: super spline
zbMATH Keywords: Powell-Sabin splines
zbMATH Keywords: normalized B-splines
zbMATH Keywords: blossoms
zbMATH Keywords: polarization identity
zbMATH Keywords: quasi-interpolation
reviewed by: Peter Massopust
MaRDI profile type: Publication
full work available at URL: s10543-014-0489-x
OpenAlex ID: W2048767740
cites work: Q5285811
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DOI: 10.1007/S10543-014-0489-X
description: scientific article; zbMATH DE number 6387222