Construction and Application of Subdivision Surface Scheme Using Lagrange Interpolation Polynomial

• 作者: Faheem Khan Iram Mukhtar Noreen Batool
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: SUBDIVISION SCHEME Interpolating SUBDIVISION SCHEME TENSOR Product SCHEME Auxiliary Points LAGRANGE INTERPOLATION POLYNOMIAL
• 年，卷（期）: 2014,（3）
• 页码范围: 387-397
• 页数: 11页
• 分类号: O1

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.