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  • 标题:Unification and Application of 3-point Approximating Subdivision Schemes of Varying Arity
  • 本地全文:下载
  • 作者:Abdul Ghaffar ; Ghulam Mustafa ; Kaihuai Qin
  • 期刊名称:Open Journal of Applied Sciences
  • 印刷版ISSN:2165-3917
  • 电子版ISSN:2165-3925
  • 出版年度:2012
  • 卷号:2
  • 期号:4B
  • 页码:48-52
  • DOI:10.4236/ojapps.2012.24B012
  • 出版社:Scientific Research Publishing
  • 摘要:In this paper, we propose and analyze a subdivision scheme which unifies 3-point approximating subdivision schemes of any arity in its compact form and has less support, computational cost and error bounds.  The usefulness of the scheme is illustrated by considering different examples along with its comparison with the established subdivision schemes. Moreover, B-splines of degree 4and well known 3-point schemes [1, 2, 3, 4, 6, 11, 12, 14, 15] are special cases of our proposed scheme.
  • 关键词:component; Approximating subdivision scheme; binary; ternary; a-ary; continuity and Laurent polynomial
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