dc.contributor.author Keskin F. en_US dc.contributor.author Çetin, A.E. en_US dc.date.accessioned 2016-02-08T12:12:44Z dc.date.available 2016-02-08T12:12:44Z dc.date.issued 2012 en_US dc.identifier.issn 0302-9743 dc.identifier.uri http://hdl.handle.net/11693/28159 dc.description.abstract In 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.iso English en_US dc.source.title Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) en_US dc.relation.isversionof http://dx.doi.org/10.1007/978-3-642-32436-9_9 en_US dc.subject Lifting en_US dc.subject multirate signal processing en_US dc.subject wavelet transform en_US dc.subject Discrete-time signals en_US dc.subject Fractional wavelet transforms en_US dc.subject Lagrange interpolations en_US dc.subject Lifting en_US dc.subject Lifting structure en_US dc.subject Multirate signal processing en_US dc.subject Rational numbers en_US dc.subject Sampling period en_US dc.subject Subbands en_US dc.subject Subimages en_US dc.subject Two-channel en_US dc.subject Artificial intelligence en_US dc.subject Muscle en_US dc.subject Semantics en_US dc.subject Signal processing en_US dc.subject Wavelet decomposition en_US dc.subject Wavelet transforms en_US dc.subject Signal sampling en_US dc.title Directionally selective fractional wavelet transform using a 2-d non-separable unbalanced lifting structure en_US dc.type Conference Paper en_US dc.department Department of Electrical and Electronics Engineering dc.citation.spage 102 en_US dc.citation.epage 113 en_US dc.citation.volumeNumber 7252 LNCS en_US dc.identifier.doi 10.1007/978-3-642-32436-9_9 en_US
﻿