Construction and Application of Subdivision Surface Scheme Using Lagrange Interpolation Polynomial  

作　　者：Faheem Khan Noreen Batool Iram Mukhtar 

机构地区：[1]Department of Mathematics, University of Sargodha, Sargodha, Pakistan

出　　处：《Applied Mathematics》2014年第3期387-397,共11页应用数学（英文）

摘　　要：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.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.

关 键 词：SUBDIVISION SCHEME Interpolating SUBDIVISION SCHEME TENSOR Product SCHEME AUXILIARY Points LAGRANGE Interpolation POLYNOMIAL 

分 类 号：O1[理学—数学]