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Interpolating m-refinable functions with compact support: The second generation class

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  • Romani, Lucia

Abstract

We present an algorithm for the construction of a new class of compactly supported interpolating refinable functions that we call the second generation class since, contrary to the existing class, is associated to subdivision schemes with an even-symmetric mask that does not contain the submask {0…,0,1,0,…0}. As application examples of the proposed algorithm we present interpolating 4-refinable functions that are generated by parameter-dependent, even-symmetric quaternary schemes never considered in the literature so far.

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  • Romani, Lucia, 2019. "Interpolating m-refinable functions with compact support: The second generation class," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 735-746.
    • Handle: RePEc:eee:apmaco:v:361:y:2019:i:c:p:735-746
    DOI: 10.1016/j.amc.2019.06.018
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    References listed on IDEAS

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    1. Zhang, Baoxing & Zheng, Hongchan & Song, Weijie & Lin, Zengyao & Zhou, Jie, 2019. "Interpolatory subdivision schemes with the optimal approximation order," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 1-14.
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    Cited by:

    1. Romani, Lucia, 2021. "Creating a bridge between cardinal Br-spline fundamental functions for interpolation and subdivision," Applied Mathematics and Computation, Elsevier, vol. 401(C).
    2. Viscardi, Alberto, 2023. "Optimized dual interpolating subdivision schemes," Applied Mathematics and Computation, Elsevier, vol. 458(C).

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