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dc.contributor.authorDragotti, Pier Luigien_GB
dc.contributor.authorVelisavljević, Vladanen_GB
dc.contributor.authorVetterli, Martinen_GB
dc.contributor.authorBeferull-Lozano, Baltasaren_GB
dc.date.accessioned2013-05-31T10:25:26Z
dc.date.available2013-05-31T10:25:26Z
dc.date.issued2003
dc.identifier.citationDragotti, P.L., Velisavljevic, V., Vetterli, M> and Beferull-Lozano, B. (2003) 'Discrete directional wavelet bases and frames: analysis and applications', SPIE Proceedings, Wavelets: Applications in Signal and Image Processing X, San Diego, CA, USA, August 2003. San Diego: SPIE, vol.5207, pp.583-591en_GB
dc.identifier.isbn9780819450807
dc.identifier.doi10.1117/12.506741
dc.identifier.urihttp://hdl.handle.net/10547/293129
dc.description.abstractThe application of the wavelet transform in image processing is most frequently based on a separable construction. Lines and columns in an image are treated independently and the basis functions are simply products of the corresponding one dimensional functions. Such method keeps simplicity in design and computation, but is not capable of capturing properly all the properties of an image. In this paper, a new truly separable discrete multi-directional transform is proposed with a subsampling method based on lattice theory. Alternatively, the subsampling can be omitted and this leads to a multi-directional frame. This transform can be applied in many areas like denoising, non-linear approximation and compression. The results on non-linear approximation and denoising show interesting gains compared to the standard two-dimensional analysis.
dc.language.isoenen
dc.publisherSPIEen_GB
dc.relation.urlhttp://proceedings.spiedigitallibrary.org/proceeding.aspx?articleid=827219en_GB
dc.titleDiscrete directional wavelet bases and frames: analysis and applicationsen
dc.typeConference papers, meetings and proceedingsen
html.description.abstractThe application of the wavelet transform in image processing is most frequently based on a separable construction. Lines and columns in an image are treated independently and the basis functions are simply products of the corresponding one dimensional functions. Such method keeps simplicity in design and computation, but is not capable of capturing properly all the properties of an image. In this paper, a new truly separable discrete multi-directional transform is proposed with a subsampling method based on lattice theory. Alternatively, the subsampling can be omitted and this leads to a multi-directional frame. This transform can be applied in many areas like denoising, non-linear approximation and compression. The results on non-linear approximation and denoising show interesting gains compared to the standard two-dimensional analysis.


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