
Proceedings Paper
3D discrete shearlet transform and video denoisingFormat | Member Price | Non-Member Price |
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Paper Abstract
This paper introduces a numerical implementation of the 3D shearlet transform, a directional transform which is
derived from the theory of shearlets. The shearlet approach belongs to a class of directional multiscale methods
emerged during the last 10 years to overcome the limitations of traditional multiscale systems, which also include
curvelets and contourlets. Unlike other methods, shearlets are derived from the theory of affine systems, which
allows a very flexible mathematical structure and a natural transition from the continuous to the digital setting.
Following the recent proof of the optimality of the 3D shearlet representation, in this paper we develop an
algorithmic implementation of the 3D shearlet transform that follows closely the spatial-frequency pattern of
the corresponding continuous transform. The performance of the algorithm is illustrated on problems of video
denoising and successfully compared against other state-of-the-art multiscale techniques, including curvelets and
surfacelets.
Paper Details
Date Published: 27 September 2011
PDF: 11 pages
Proc. SPIE 8138, Wavelets and Sparsity XIV, 81381Y (27 September 2011); doi: 10.1117/12.892219
Published in SPIE Proceedings Vol. 8138:
Wavelets and Sparsity XIV
Manos Papadakis; Dimitri Van De Ville; Vivek K. Goyal, Editor(s)
PDF: 11 pages
Proc. SPIE 8138, Wavelets and Sparsity XIV, 81381Y (27 September 2011); doi: 10.1117/12.892219
Show Author Affiliations
Demetrio Labate, Univ. of Houston (United States)
Pooran Negi, Univ. of Houston (United States)
Published in SPIE Proceedings Vol. 8138:
Wavelets and Sparsity XIV
Manos Papadakis; Dimitri Van De Ville; Vivek K. Goyal, Editor(s)
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