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J. A. Lian, “On A-Ary Subdivision for Curve Design: 4-Point and 6-Point Inerpolatory Schemes,” Application and Applied Mathematics: International Journal, Vol. 3, No. 1, 2008, pp. 18-29.

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.