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.

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

Gemignani, Luca
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2022-01-01

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.
2022
Gemignani, Luca; Romani, Lucia; Viscardi, Alberto
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/1118096
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