N. Dyn, D. Levin and J. A. Gregory, “A 4-Point Interpolatory Subdivision Scheme for Curve Design,” Computer Aided Geometric Design, Vol. 24, No. 4, 1987, pp. 257-268. doi:10.1016/0167-8396(87)90001-X

has been cited by the following article:

• 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.