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

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作者
Luca Gemignani
Lucia Romani
Alberto Viscardi
机构
[1] Università di Pisa,Dipartimento di Informatica
[2] Alma Mater Studiorum Università di Bologna,Dipartimento di Matematica and AM2
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关键词
Bezout equation; Univariate dual subdivision; Higher arity; Interpolation; 65F05; 68W30; 65D05; 65D17;
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摘要
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.
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