B 2-splines: a local representation for cubic spline interpolation
type: Item
instance of: scholarly article
title: B 2-splines: a local representation for cubic spline interpolation
zbMATH Open document ID: 0625.41008
DOI: 10.1007/BF01962896
author: Charles D. Woodward
published in: The Visual Computer
publication date: 1987-01-01T00:00:00Z
review text: The cubic B-spline representation provides the local interaction properties and the sufficient order of continuity required in free-form curve and surface modelling in CAD. Basic problems are nevertheless encountered when applying B-splines to interpolation, where they have global behavior. We present the B2-spline formulation, a superset of the B-splines with local interpolation properties. Besides providing the local interpolation access, the B2-spline interaction operations can also be used directly as a B-spline modelling interface. Modelling applications are discussed especially with the skinning method for interpolating surfaces through curve networks.
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 41A05
zbMATH DE Number: 4015346
zbMATH Keywords: cubic B-spline representation
zbMATH Keywords: B2-spline
zbMATH Keywords: local interpolation access
MaRDI profile type: Publication
cites work: An interactive computer graphics approach to surface representation
full work available at URL: https://doi.org/10.1007/bf01962896
OpenAlex ID: W2022785784
description: scientific article; zbMATH DE number 4015346