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Creating a bridge between cardinal Br-spline fundamental functions for interpolation and subdivision

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  • Romani, Lucia

Abstract

This paper presents innovative contributions to the fields of cardinal spline interpolation and subdivision. In particular, it unifies cardinal Br-spline fundamental functions for interpolation that are made of r=ML+1 (L∈N∪{0}) distinct pieces between each pair of interpolation nodes and are featured by the properties of C2M−2 smoothness, approximation order 2M and support width 2M(r+1)r, with the basic limit functions of a special class of non-stationary subdivision schemes of arity M.

Suggested Citation

  • Romani, Lucia, 2021. "Creating a bridge between cardinal Br-spline fundamental functions for interpolation and subdivision," Applied Mathematics and Computation, Elsevier, vol. 401(C).
    • Handle: RePEc:eee:apmaco:v:401:y:2021:i:c:s0096300321001193
    DOI: 10.1016/j.amc.2021.126071
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    References listed on IDEAS

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    1. 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.
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    Cited by:

    1. Conti, Costanza & López-Ureña, Sergio & Romani, Lucia, 2022. "Annihilation operators for exponential spaces in subdivision," Applied Mathematics and Computation, Elsevier, vol. 418(C).

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