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dc.contributor.authorKeskin F.en_US
dc.contributor.authorÇetin, A.E.en_US
dc.date.accessioned2016-02-08T12:12:44Z
dc.date.available2016-02-08T12:12:44Z
dc.date.issued2012en_US
dc.identifier.issn0302-9743
dc.identifier.urihttp://hdl.handle.net/11693/28159
dc.description.abstractIn this paper, we extend the recently introduced concept of fractional wavelet transform to obtain directional subbands of an image. Fractional wavelet decomposition is based on two-channel unbalanced lifting structures whereby it is possible to decompose a given discrete-time signal x[n] sampled with period T into two sub-signals x 1[n] and x 2[n] whose average sampling periods are pT and qT, respectively. Fractions p and q are rational numbers satisfying the condition: 1/p+1/q=1. Filters used in the lifting structure are designed using the Lagrange interpolation formula. 2-d separable and non-separable extensions of the proposed fractional wavelet transform are developed. Using a non-separable unbalanced lifting structure, directional subimages for five different directions are obtained. © 2012 Springer-Verlag.en_US
dc.language.isoEnglishen_US
dc.source.titleLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)en_US
dc.relation.isversionofhttp://dx.doi.org/10.1007/978-3-642-32436-9_9en_US
dc.subjectLiftingen_US
dc.subjectmultirate signal processingen_US
dc.subjectwavelet transformen_US
dc.subjectDiscrete-time signalsen_US
dc.subjectFractional wavelet transformsen_US
dc.subjectLagrange interpolationsen_US
dc.subjectLiftingen_US
dc.subjectLifting structureen_US
dc.subjectMultirate signal processingen_US
dc.subjectRational numbersen_US
dc.subjectSampling perioden_US
dc.subjectSubbandsen_US
dc.subjectSubimagesen_US
dc.subjectTwo-channelen_US
dc.subjectArtificial intelligenceen_US
dc.subjectMuscleen_US
dc.subjectSemanticsen_US
dc.subjectSignal processingen_US
dc.subjectWavelet decompositionen_US
dc.subjectWavelet transformsen_US
dc.subjectSignal samplingen_US
dc.titleDirectionally selective fractional wavelet transform using a 2-d non-separable unbalanced lifting structureen_US
dc.typeConference Paperen_US
dc.departmentDepartment of Electrical and Electronics Engineering
dc.citation.spage102en_US
dc.citation.epage113en_US
dc.citation.volumeNumber7252 LNCSen_US
dc.identifier.doi10.1007/978-3-642-32436-9_9en_US


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