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arXiv:1012.2453math.FA

How to refine polynomial functions

Henning Thielemann

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Abstract

Research on refinable functions in wavelet theory is mostly focused to localized functions. However it is known, that polynomial functions are refinable, too. In our paper we investigate on conversions between refinement masks and polynomials and their uniqueness.

arXiv comments
16 pages, 2 figures, accepted by WSPC/WS-IJWMIP
Journal reference
DOI
Subjects
math.FAFunctional Analysis cs.SCSymbolic Computation

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Discussed in comments1 thread

  1. Self-Replicating Functions 1 comment

    • Refinable functions, used for constructing wavelets and subdivision schemes, seem similar: https://en.wikipedia.org/wiki/Refinable_function and https://arxiv.org/abs/1012.2453

      dansuncielView on HNParent context

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