The <i>m</i>-Point Quaternary Approximating Subdivision Schemes

• 作者: Muhammad Younis Shahid S. Siddiqi
• 来源期刊: 美国计算数学期刊(英文)
• 学科: 数学
• 关键词: Cox-De Boor RECURSION Formula QUATERNARY Approximating SUBDIVISION Schemes Convergence and SMOOTHNESS
• 年，卷（期）: 2013,（1）
• 页码范围: 6-10
• 页数: 5页
• 分类号: O1

摘要

In this article, the objective is to introduce an algorithm to produce the quaternary m-point (for any integer m>1) approximating subdivision schemes, which have smaller support and higher smoothness, comparing to binary and ternary schemes. The proposed algorithm has been derived from uniform B-spline basis function using the Cox-de Boor recursion formula. In order to determine the convergence and smoothness of the proposed schemes, the Laurent polynomial method has been used.