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

Lucia Romani

Applied Mathematics and Computation, 2019, vol. 361, issue C, 735-746

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.

Keywords: Subdivision; Interpolation; Even-symmetric mask; Arity m; Refinable function (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:361:y:2019:i:c:p:735-746

DOI: 10.1016/j.amc.2019.06.018

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