dc.contributor.author | Muntingh, Agnar Georg Peder | |
dc.date.accessioned | 2018-01-10T07:34:45Z | |
dc.date.available | 2018-01-10T07:34:45Z | |
dc.date.created | 2018-01-03T14:10:06Z | |
dc.date.issued | 2017 | |
dc.identifier.citation | BIT Numerical Mathematics. 2017, 57 (3), 867-900. | nb_NO |
dc.identifier.issn | 0006-3835 | |
dc.identifier.uri | http://hdl.handle.net/11250/2476553 | |
dc.description.abstract | Pseudo-splines form a family of subdivision schemes that provide a natural blend between interpolating schemes and approximating schemes, including the Dubuc–Deslauriers schemes and B-spline schemes. Using a generating function approach, we derive expressions for the symbols of the symmetric m-ary pseudo-spline subdivision schemes. We show that their masks have positive Fourier transform, making it possible to compute the exact Hölder regularity algebraically as a logarithm of the spectral radius of a matrix. We apply this method to compute the regularity explicitly in some special cases, including the symmetric binary, ternary, and quarternary pseudo-spline schemes. | nb_NO |
dc.language.iso | eng | nb_NO |
dc.title | Symbols and exact regularity of symmetric pseudo-splines of any arity | nb_NO |
dc.type | Journal article | nb_NO |
dc.type | Peer reviewed | nb_NO |
dc.description.version | submittedVersion | nb_NO |
dc.source.pagenumber | 867-900 | nb_NO |
dc.source.volume | 57 | nb_NO |
dc.source.journal | BIT Numerical Mathematics | nb_NO |
dc.source.issue | 3 | nb_NO |
dc.identifier.doi | 10.1007/s10543-017-0656-y | |
dc.identifier.cristin | 1534952 | |
dc.relation.project | Norges forskningsråd: prosjektnummer 222335 | nb_NO |
cristin.unitcode | 7401,90,11,0 | |
cristin.unitname | Anvendt matematikk | |
cristin.ispublished | true | |
cristin.fulltext | preprint | |
cristin.qualitycode | 2 | |