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.