Optimized construction of biorthogonal spline-wavelets

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dc.contributor.authorČerná, Dana
dc.contributor.authorFiněk, Václav
dc.date.accessioned2015-10-26
dc.date.available2015-10-26
dc.date.issued2008
dc.description.abstractThe paper is concerned with the construction of wavelet bases on the interval derived from B-splines. The resulting bases generate multiresolution analyses on the unit interval with the desired number of vanishing wavelet moments for primal and dual wavelets. Inner wavelets are translated and dilated versions of well-known wavelets designed by Cohen, Daubechies, Feauveau [5] while the construction of boundary wavelets is along the lines of [6], The disadvantage of popular bases from [6] is their bad condition which cause problems in practical applications. Some modifications which lead to better conditioned bases were proposed in [1, 7, 8, 9, 10], In this contribution, we further improve the condition of spline-wavelet bases on the interval. Quantitative properties of these bases are presented. © 2008 American Institute of Physics.en
dc.formattext
dc.identifier.doi10.1063/1.2990873
dc.identifier.isbn9780735405769
dc.identifier.issn0094-243X
dc.identifier.scopus2-s2.0-54049115497
dc.identifier.urihttps://dspace.tul.cz/handle/15240/13308
dc.language.isoen
dc.publisherTechnical university of Liberec, Czech Republicen
dc.publisherTechnická Univerzita v Libercics
dc.relation.ispartofAIP Conference Proceedingsen
dc.sourced-scopus
dc.subjectconditionen
dc.subjectconstructionen
dc.subjectriesz constantsen
dc.subjectspline-waveletsen
dc.subjectwavelet transformen
dc.titleOptimized construction of biorthogonal spline-waveletsen
dc.typeConference paper
local.citation.epage137
local.citation.spage134
local.event.edate2008-09-20
local.event.locationPsalidi, Kos
local.event.sdate2008-09-16
local.event.titleInternational Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2008
local.facultyFaculty of Sciences, Humanities and Education
local.relation.volume1048
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