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Decomposition and reconstruction of multidimensional signals by radial functions with tension parameters

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  • Additional Information
    • Contributors:
      Bozzini, M; Rabut, C; Rossini, M
    • Publication Information:
      Springer New York LLC
    • Publication Date:
      2018
    • Collection:
      Università degli Studi di Milano-Bicocca: BOA (Bicocca Open Archive)
    • Abstract:
      The aim of the paper is to construct a multiresolution analysis of L2(IRd) based on generalized kernels which are fundamental solutions of differential operators of the form ∏l=1m(−Δ+κl2I). We study its properties and provide a set of pre-wavelets associated with it, as well as the filters which are indispensable to perform decomposition and reconstruction of a given signal, being very useful in applied problems thanks to the presence of the tension parameters κl.
    • Relation:
      info:eu-repo/semantics/altIdentifier/wos/WOS:000441521300002; volume:44; issue:4; firstpage:1003; lastpage:1040; numberofpages:38; journal:ADVANCES IN COMPUTATIONAL MATHEMATICS; http://hdl.handle.net/10281/187942; info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85040010698; http://www.kluweronline.com/issn/1019-7168
    • Accession Number:
      10.1007/s10444-017-9571-7
    • Online Access:
      https://doi.org/10.1007/s10444-017-9571-7
      http://hdl.handle.net/10281/187942
      http://www.kluweronline.com/issn/1019-7168
    • Rights:
      info:eu-repo/semantics/openAccess
    • Accession Number:
      edsbas.AB92AD85