Discrete directional wavelet bases and frames: analysis and applications
| dc.contributor.author | Dragotti, Pier Luigi | en_GB |
| dc.contributor.author | Velisavljević, Vladan | en_GB |
| dc.contributor.author | Vetterli, Martin | en_GB |
| dc.contributor.author | Beferull-Lozano, Baltasar | en_GB |
| dc.date.accessioned | 2013-05-31T10:25:26Z | |
| dc.date.available | 2013-05-31T10:25:26Z | |
| dc.date.issued | 2003 | |
| dc.identifier.citation | Dragotti, 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.583-591 | en_GB |
| dc.identifier.isbn | 9780819450807 | |
| dc.identifier.doi | 10.1117/12.506741 | |
| dc.identifier.uri | http://hdl.handle.net/10547/293129 | |
| dc.description.abstract | The 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.iso | en | en |
| dc.publisher | SPIE | en_GB |
| dc.relation.url | http://proceedings.spiedigitallibrary.org/proceeding.aspx?articleid=827219 | en_GB |
| dc.title | Discrete directional wavelet bases and frames: analysis and applications | en |
| dc.type | Conference papers, meetings and proceedings | en |
| html.description.abstract | The 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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