TITLE:
A Unified Interpolating Subdivision Scheme for Curves/Surfaces by Using Newton Interpolating Polynomial
AUTHORS:
Faheem Khan, Irem Mukhtar, Noreen Batool
KEYWORDS:
Interpolating Subdivision Scheme; Tensor Product Scheme; Newton Interpolating Polynomial
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.3 No.3,
July
10,
2013
ABSTRACT: This paper presents a general formula for (2m + 2)-point n-ary interpolating subdivision scheme for curves for anyinteger 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.