Coefficient formula and matrix of nonuniform B-spline functions
type: Item
instance of: scholarly article
title: Coefficient formula and matrix of nonuniform B-spline functions
zbMATH Open document ID: 0783.65003
DOI: 10.1016/0010-4485(92)90018-6
author: S. Singh
published in: CAD. Computer-Aided Design
publication date: 1993-05-16T00:00:00Z
review text: The paper presents an algorithm for the computation of the coefficients of the restriction \(p(t)=a_{i0}+a_{i1}t+\dots+a_{i,k-1}t^{k-1}\) of a \(B\)-spline \(N_{i,k}(t)\) of degree \(k-1\) (with arbitrary knots \(t_ i\leq\dots\leq t_{i+k}\)) on any subinterval \((t_ j,t_{j+1})\) between two consecutive knots. The method is based on the Cox-de Boor recursive formula.
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 65D17
zbMATH DE Number: 166650
zbMATH Keywords: coefficient formula
zbMATH Keywords: Cox-de Boor algorithm
zbMATH Keywords: curves and surfaces
zbMATH Keywords: matrix representation
zbMATH Keywords: data exchange
zbMATH Keywords: \(B\)-spline
reviewed by: Borislav D. Bojanov
MaRDI profile type: Publication
full work available at URL: 0010-4485(92)90018-6
OpenAlex ID: W2084265973
description: scientific article; zbMATH DE number 166650