Article citationsMore>>

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

has been cited by the following article:

• TITLE: Construction and Application of Subdivision Surface Scheme Using Lagrange Interpolation Polynomial

  AUTHORS: Faheem Khan, Noreen Batool, Iram Mukhtar

  KEYWORDS: Subdivision Scheme; Interpolating Subdivision Scheme; Tensor Product Scheme; Auxiliary Points; Lagrange Interpolation Polynomial

  JOURNAL NAME: Applied Mathematics, Vol.5 No.3, February 11, 2014

  ABSTRACT: This paper offers a general formula for surface subdivision rules for quad meshes by using 2-D Lagrange interpolating polynomial [1]. We also see that the result obtained is equivalent to the tensor product of (2N + 4)-point n-ary interpolating curve scheme for N ≥ 0 and n ≥ 2. The simple interpolatory subdivision scheme for quadrilateral nets with arbitrary topology is presented by L. Kobbelt [2], which can be directly calculated from the proposed formula. Furthermore, some characteristics and applications of the proposed work are also discussed.