A unified approach to \(B\)-spline recursions and knot insertion, with application to new recursion formulas
type: Item
instance of: scholarly article
title: A unified approach to \(B\)-spline recursions and knot insertion, with application to new recursion formulas
zbMATH Open document ID: 0836.65009
DOI: 10.1007/BF02431997
published in: Advances in Computational Mathematics
publication date: 1996-05-06T00:00:00Z
review text: The theory of this paper is based on the fact that \(B\)-splines can be represented by a contour integral. From this relation, recursion formulas for \(B\)-splines and their derivatives of any order and partial derivatives with respect to the knots are obtained and proved. Besides, a generalized knot insertion formula is given and proved.
reviewed by: Xiong Zhenxiang
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 803464
zbMATH Keywords: \(B\)-splines
zbMATH Keywords: contour integral
zbMATH Keywords: recursion formulas
zbMATH Keywords: partial derivatives
zbMATH Keywords: knot insertion
author: Guido Walz
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 803464