论文标题
与双单变量插值细分方案相关的bezout样多项式方程
Bezout-like polynomial equations associated with dual univariate interpolating subdivision schemes
论文作者
论文摘要
研究了双单变量插值细分方案的代数表征。具体而言,我们提供了一种建设性方法,用于根据某些相关多项式方程的解决方案找到双单变量插值细分方案。提出的方法还可以确定所寻求计划的存在条件。
The algebraic characterization of dual univariate interpolating subdivision schemes is investigated. Specifically, we provide a constructive approach for finding dual univariate interpolating subdivision schemes based on the solutions of certain associated polynomial equations. The proposed approach also makes possible to identify conditions for the existence of the sought schemes.