Convexity preserving interpolatory subdivision schemes
type: Item
instance of: scholarly article
title: Convexity preserving interpolatory subdivision schemes
zbMATH Open document ID: 0918.41002
author: Ruud van Damme
author: Frans Kuijt
published in: Constructive Approximation
publication date: 1999-08-04T00:00:00Z
review text: Local subdivision schemes interpolating functional univariate data and preserving convexity are constructed. The resulting limit function of these schemes is continuous and convex for arbitrary convex data. Other properties and examples are studied and some generalizations (tension control and piecewise convexity preservation) are briefly discussed.
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 41A29
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 65D17
zbMATH DE Number: 1268082
zbMATH Keywords: subdivision schemes
zbMATH Keywords: convexity preservation
zbMATH Keywords: interpolation
reviewed by: Cătălin Badea
MaRDI profile type: Publication
full work available at URL: s003659900093
OpenAlex ID: W2079749345
DOI: 10.1007/S003659900093
description: scientific article; zbMATH DE number 1268082