Construction of a bivariate \(C^2\) septic quasi-interpolant using the blossoming approach
type: Item
instance of: scholarly article
title: Construction of a bivariate \(C^2\) septic quasi-interpolant using the blossoming approach
zbMATH Open document ID: 1548.41008
DOI: 10.1007/978-3-031-42847-0_2
author: A. Serghini
author: A. El Hajaji
author: Q6053372
publication date: 2024-10-17T00:00:00Z
review text: Quasi-interpolation is one of the most important tools in applied mathematics and in particular in approximation theory. The same applies to bi-variate piecewise polynomials (``splines''). A fundament for an approximation in two dimensions with splines is a triangulation, and in this paper quasi-interpolants with splines are constructed for general triangulations. They are restricted to septic splines and provide quasi-interpolants that are twice continuously differentiable. Several numerical examples are presented too.\N\NFor the entire collection see [Zbl 1531.91007].
reviewed by: Martin D. Buhmann
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 7928373
zbMATH Keywords: quasi-interpolation
zbMATH Keywords: splines
zbMATH Keywords: bi-variate
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 7928373