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

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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… Click to show full 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 it possible to identify conditions for the existence of the sought schemes.

Keywords: dual univariate; polynomial equations; subdivision schemes; univariate interpolating; interpolating subdivision

Journal Title: Advances in Computational Mathematics
Year Published: 2022

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