Family of a-Ary Univariate Subdivision Schemes Generated by Laurent Polynomial

Family of a-Ary Univariate Subdivision Schemes Generated by Laurent Polynomial

The generalized symbols of the family of a-ary (a≥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 comp...

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Main Authors: Muhammad Asghar, Ghulam Mustafa
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2018/7824279
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spelling doaj-5c74ae77e16a4cb79d8249332657850a2020-11-25T02:25:07ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472018-01-01201810.1155/2018/78242797824279Family of a-Ary Univariate Subdivision Schemes Generated by Laurent PolynomialMuhammad Asghar0Ghulam Mustafa1Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, PakistanDepartment of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, PakistanThe generalized symbols of the family of a-ary (a≥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.http://dx.doi.org/10.1155/2018/7824279
collection DOAJ
language English
format Article
sources DOAJ
author Muhammad Asghar
Ghulam Mustafa
spellingShingle Muhammad Asghar
Ghulam Mustafa
Family of a-Ary Univariate Subdivision Schemes Generated by Laurent Polynomial
Mathematical Problems in Engineering
author_facet Muhammad Asghar
Ghulam Mustafa
author_sort Muhammad Asghar
title Family of a-Ary Univariate Subdivision Schemes Generated by Laurent Polynomial
title_short Family of a-Ary Univariate Subdivision Schemes Generated by Laurent Polynomial
title_full Family of a-Ary Univariate Subdivision Schemes Generated by Laurent Polynomial
title_fullStr Family of a-Ary Univariate Subdivision Schemes Generated by Laurent Polynomial
title_full_unstemmed Family of a-Ary Univariate Subdivision Schemes Generated by Laurent Polynomial
title_sort family of a-ary univariate subdivision schemes generated by laurent polynomial
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2018-01-01
description The generalized symbols of the family of a-ary (a≥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.
url http://dx.doi.org/10.1155/2018/7824279
work_keys_str_mv AT muhammadasghar familyofaaryunivariatesubdivisionschemesgeneratedbylaurentpolynomial
AT ghulammustafa familyofaaryunivariatesubdivisionschemesgeneratedbylaurentpolynomial
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