Three recipes for quasi-interpolation with cubic Powell-Sabin splines
type: Item
instance of: scholarly article
title: Three recipes for quasi-interpolation with cubic Powell-Sabin splines
zbMATH Open document ID: 1505.65026
author: Jan Grošelj
author: Hendrik Speleers
published in: Computer Aided Geometric Design
publication date: 2019-03-20T00:00:00Z
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 7038580
zbMATH Keywords: quasi-interpolation
zbMATH Keywords: cubic powell-sabin splines
zbMATH Keywords: cubic B-spline basis
zbMATH Keywords: local super-smoothness
zbMATH Keywords: cubic precision
MaRDI profile type: Publication
full work available at URL: j.cagd.2018.10.002
OpenAlex ID: W2895306022
cites work: A bivariate \(C^1\) cubic super spline space on Powell-Sabin triangulation
cites work: Q4205895
cites work: A practical guide to splines.
cites work: Box splines
cites work: On calculating normalized Powell-Sabin B-splines
cites work: A normalized representation of super splines of arbitrary degree on Powell-Sabin triangulations
cites work: \(\mathcal{C}^1\) cubic splines on Powell-Sabin triangulations
cites work: Construction and analysis of cubic Powell-Sabin B-splines
cites work: Spline Functions on Triangulations
cites work: Cubic spline quasi-interpolants on powell-sabin partitions
cites work: A normalized basis for \(\mathcal{C}^1\) cubic super spline space on Powell-Sabin triangulation
cites work: Cubic precision Clough-Tocher interpolation
cites work: Quadratic spline quasi-interpolants on Powell-Sabin partitions
cites work: Piecewise Quadratic Approximations on Triangles
cites work: Q5316365
cites work: Polar forms and quadratic spline quasi-interpolants on Powell-Sabin partitions
cites work: Superconvergent \(C^1\) cubic spline quasi-interpolants on Powell-Sabin partitions
cites work: On multivariate polynomials in Bernstein-Bézier form and tensor algebra
cites work: Interpolation with quintic Powell-Sabin splines
cites work: Construction of normalized B-splines for a family of smooth spline spaces over Powell-Sabin triangulations
cites work: A family of smooth quasi-interpolants defined over Powell-Sabin triangulations
cites work: A new B-spline representation for cubic splines over Powell-Sabin triangulations
Wikidata QID: Q129151577
DOI: 10.1016/J.CAGD.2018.10.002
description: scientific article; zbMATH DE number 7038580