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

2020/09/28 by Luca Gemignani, Lucia Romani, Gemignani, Luca +3
Engineering · #Advanced Numerical Analysis Techniques #Advanced Surface Polishing Techniques #Advanced machining processes and optimization #FOS: Mathematics #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.2009.13396

openalex publication_date 2020/09/28 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

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.

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