Quasi-interpolants with tension properties from and in CAGD
type: Item
instance of: scholarly article
title: Quasi-interpolants with tension properties from and in CAGD
zbMATH Open document ID: 1053.41004
author: Carla Manni
author: Francesca Pelosi
published in: Computing
publication date: 2004-10-28T00:00:00Z
review text: The authors present a method for constructing \(C^2\) quasi-interpolating schemes having tension properties.They discuss the applications of above schemes in the area of approximation of planar and spatial curves. The paper is organized in 5 sections.Section 1 contains a short presentation of the subject.Section 2 recalls the construction and the properties of the cubic parametric B-splines.Section 3 is devoted to the construction of various quasi-interpolating schemes based on cubic parametric B-splines.Section 4 describe how the presented schemes can be efficiently used in the area of approximation of curves with shape constraints.Section 5 contains some numerical examples.
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 41A25
zbMATH DE Number: 2111433
zbMATH Keywords: quasi-interpolation
zbMATH Keywords: tension properties
zbMATH Keywords: parametric curves
zbMATH Keywords: constrained approximation
reviewed by: Dan Bărbosu
MaRDI profile type: Publication
full work available at URL: s00607-003-0053-z
OpenAlex ID: W2048988558
DOI: 10.1007/S00607-003-0053-Z
description: scientific article; zbMATH DE number 2111433