Family of \(a\)-ary univariate subdivision schemes generated by Laurent polynomial
type: Item
instance of: scholarly article
title: Family of \(a\)-ary univariate subdivision schemes generated by Laurent polynomial
zbMATH Open document ID: 1427.65018
DOI: 10.1155/2018/7824279
author: Xianqiang Yang
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: The generalized symbols of the family of \(a\)-ary \((a \geq 2)\) univariate stationary and nonstationary parametric subdivision schemes have been presented. These schemes are the new version of Lane-Riesenfeld algorithms. Comparison shows that our proposed family has higher continuity and generation degree comparative to the existing subdivision schemes. It is observed that many existing binary and ternary schemes are the special cases of our schemes. The analysis of proposed family of subdivision schemes is also presented in this paper.
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 65D18
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 7019493
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/7824279
OpenAlex ID: W2800013935
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description: scientific article; zbMATH DE number 7019493