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 OJAppS  Vol.3 No.3 , July 2013
A Unified Interpolating Subdivision Scheme for Curves/Surfaces by Using Newton Interpolating Polynomial
Faheem Khan, Irem Mukhtar, Noreen Batool
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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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