A Unified Interpolating Subdivision Scheme for Curves/Surfaces by Using Newton Interpolating Polynomial

Faheem  Khan; Irem  Mukhtar; Noreen  Batool

doi:10.4236/ojapps.2013.33033

Faheem Khan, Irem Mukhtar, Noreen Batool

Abstract: 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.

Keywords: Interpolating Subdivision Scheme; Tensor Product Scheme; Newton Interpolating Polynomial

Cite this paper: F. Khan, I. Mukhtar and N. Batool, "A Unified Interpolating Subdivision Scheme for Curves/Surfaces by Using Newton Interpolating Polynomial," Open Journal of Applied Sciences, Vol. 3 No. 3, 2013, pp. 263-269. doi: 10.4236/ojapps.2013.33033.

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