Ready-to-blossom bases and the existence of geometrically continuous piecewise Chebyshevian B-splines
type: Item
instance of: scholarly article
title: Ready-to-blossom bases and the existence of geometrically continuous piecewise Chebyshevian B-splines
zbMATH Open document ID: 1168.41001
author: Marie-Laurence Mazure
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2009-06-30T00:00:00Z
review text: An important tool in the theory and practice of computer aided geometric design is the use of blossoming. The well-known work of the author is here extended to geometrically continuous piecewise Chebyshevian splines. Specifically, the equivalence between the existence of B-spline bases and of blossoms is established for these cases (Theorem~1.4 in the first section). Moreover, the important concept of ready-to-blossom bases is discussed which enables the user to realize quickly whether blossoms exist or not.
reviewed by: Martin D. Buhmann
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 65D07
zbMATH DE Number: 5571974
zbMATH Keywords: blossomming
zbMATH Keywords: B-splines
zbMATH Keywords: Extended Chebyshev spaces
zbMATH Keywords: Chebyshevian splines
MaRDI profile type: Publication
full work available at URL: j.crma.2009.04.026
OpenAlex ID: W1989880612
cites work: On the equivalence between existence of \(B\)-spline bases and existence of blossoms
cites work: Ready-to-Blossom Bases in Chebyshev Spaces
DOI: 10.1016/J.CRMA.2009.04.026
description: scientific article; zbMATH DE number 5571974