文章基本信息

标题：A Unified Interpolating Subdivision Scheme for Curves/Surfaces by Using Newton Interpolating Polynomial
本地全文：下载
作者：Faheem Khan ; Irem Mukhtar ; Noreen Batool 等
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：2013
卷号：3
期号：3
页码：263-269
DOI：10.4236/ojapps.2013.33033
出版社：Scientific Research Publishing
摘要：This paper presents a general formula for (2m + 2)-point n-ary interpolating subdivision scheme for curves for any integer m ≥ 0 and n ≥ 2 by using Newton interpolating polynomial. As a consequence, the proposed work is extended for surface case, which is equivalent to the tensor product of above proposed curve case. These formulas merge several notorious curve/surface schemes. Furthermore, visual performance of the subdivision schemes is also presented.
关键词：Interpolating Subdivision Scheme; Tensor Product Scheme; Newton Interpolating Polynomial