New spline spaces with generalized tension properties
type: Item
instance of: scholarly article
title: New spline spaces with generalized tension properties
zbMATH Open document ID: 1175.41006
author: Francesca Pelosi
author: Paolo Costantini
author: Maria Lucia Sampoli
published in: BIT
publication date: 2009-04-29T00:00:00Z
review text: The paper deals with the study of new spaces of spline functions with tension properties. These spaces have a pseudo B-spline basis, a pseudo de Boor control polygon and their polynomial pieces have a pseudo Bernstein basis and a Bezier control polygon with the same properties of the usual ones. The constructed spline space can be profitably used in the construction of shape preserving curves or surfaces.
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 5549587
zbMATH Keywords: variable degree polynomials
zbMATH Keywords: Bernstein basis
zbMATH Keywords: B-splines
zbMATH Keywords: shape preservation
reviewed by: Dan Bărbosu
MaRDI profile type: Publication
full work available at URL: s10543-008-0195-7
OpenAlex ID: W2024940780
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DOI: 10.1007/S10543-008-0195-7
description: scientific article; zbMATH DE number 5549587