An explicit formula for the control points of periodic uniform spline interpolants and its application
type: Item
instance of: scholarly article
title: An explicit formula for the control points of periodic uniform spline interpolants and its application
zbMATH Open document ID: 1276.65008
author: Chongyang Deng
published in: Computer Aided Geometric Design
publication date: 2013-05-10T00:00:00Z
review text: The paper aims a problem of data interpolation by cubic splines from a computer aided geometric design framework, using periodic uniform cubic splines. Usually the B-spline control points of a cubic uniform spline interpolant are obtained as a solution of a system of linear equations. In this paper, an explicit formula for the control points of the interpolation curve is given and the least possible bound for the deviation of the periodic cubic spline interpolant to the data polygon is derived from that formula. Some numerical examples and discussions for further work are also presented.
reviewed by: Nicoleta Breaz
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 65D17
zbMATH DE Number: 6161987
zbMATH Keywords: explicit formula
zbMATH Keywords: uniform cubic spline
zbMATH Keywords: curve interpolation
zbMATH Keywords: data polygon
zbMATH Keywords: periodic spline
zbMATH Keywords: computer aided geometric design
zbMATH Keywords: control points
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
full work available at URL: j.cagd.2013.02.003
OpenAlex ID: W2002266246
DOI: 10.1016/J.CAGD.2013.02.003
description: scientific article; zbMATH DE number 6161987