Hermite interpolation with B-splines
type: Item
instance of: scholarly article
title: Hermite interpolation with B-splines
zbMATH Open document ID: 0671.65007
DOI: 10.1016/0167-8396(89)90021-6
author: Mark S. Mummy
published in: Computer Aided Geometric Design
publication date: 1989-01-01T00:00:00Z
review text: The goal of this paper is to construct a B-spline basis for a certain class S of piecewise polynomial functions and a representation of a function \(F\in S\) that performs the required interpolation. This is done by constructing an appropriate knot sequence and then applying the de Boor-Fix functionals to produce the B-spline coefficients for F. Each coefficients is a linear combination of the interpolated data at exactly one node.
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 4098595
zbMATH Keywords: Hermite interpolation
zbMATH Keywords: B-spline basis
zbMATH Keywords: piecewise polynomial functions
zbMATH Keywords: knot sequence
zbMATH Keywords: de Boor-Fix functionals
MaRDI profile type: Publication
full work available at URL: 0167-8396(89)90021-6
OpenAlex ID: W2004464202
cites work: A practical guide to splines
description: scientific article; zbMATH DE number 4098595