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Interpolating m-refinable functions with compact support: The second generation class
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DOI：10.1016/j.amc.2019.06.018.png)
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Abstract
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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. (C) 2019 Elsevier Inc. All rights reserved.
Keywords:
Subdivision
Interpolation
Even-symmetric mask
Arity m
Refinable function
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