English

Bezout-like polynomial equations associated with dual univariate interpolating subdivision schemes

Numerical Analysis 2020-09-29 v1 Numerical Analysis

Abstract

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.

Keywords

Cite

@article{arxiv.2009.13396,
  title  = {Bezout-like polynomial equations associated with dual univariate interpolating subdivision schemes},
  author = {Luca Gemignani and Lucia Romani and Alberto Viscardi},
  journal= {arXiv preprint arXiv:2009.13396},
  year   = {2020}
}