Convergence analysis of regular dynamic Loop-like subdivision scheme
type: Item
instance of: scholarly article
title: Convergence analysis of regular dynamic Loop-like subdivision scheme
zbMATH Open document ID: 1259.65033
DOI: 10.1155/2012/264137
author: Xiaoyang Liu
author: Mei Lu
author: Xiang-Jun Zhao
published in: Abstract and Applied Analysis
publication date: 2013-02-04T00:00:00Z
review text: Summary: This paper is concerned with the regular dynamic loop-like subdivision scheme based on the extension of box-spline method. The purpose of the addressed problem is to prove the convergence of the subdivision scheme and to verify the \(C^0\) and \(C^1\) continuity by calculating the eigenvalues of the 2-neighbor subdivision matrix. Compared with the loop subdivision scheme in previous references, the designed scheme can generate exact revolving surfaces and hold a stronger modeling capability because the subdivision matrix can update regularly with the iteration procedure. Finally, some examples are given to illustrate the effectiveness of the proposed method.
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 65F15
zbMATH DE Number: 6134049
zbMATH Keywords: numerical examples
zbMATH Keywords: subdivision scheme
zbMATH Keywords: box-spline method
zbMATH Keywords: convergence
zbMATH Keywords: eigenvalues
zbMATH Keywords: subdivision matrix
zbMATH Keywords: resolving surfaces
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/264137
OpenAlex ID: W2010432626
Wikidata QID: Q58696177
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description: scientific article; zbMATH DE number 6134049