The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Learning Multiscale Sparse Representations for Image and Video Restoration
Open accessAbstract
This paper presents a framework for learning multiscale sparse representations of color images and video with overcomplete dictionaries. A single-scale K-SVD algorithm was introduced in [M. Aharon, M. Elad, and A. M. Bruckstein, IEEE Trans. Signal Process., 54 (2006), pp. 4311–4322], formulating sparse dictionary learning for grayscale image representation as an optimization problem, efficiently solved via orthogonal matching pursuit (OMP) and singular value decomposition (SVD). Following this work, we propose a multiscale learned representation, obtained by using an efficient quadtree decomposition of the learned dictionary and overlapping image patches. The proposed framework provides an alternative to predefined dictionaries such as wavelets and is shown to lead to state-of-the-art results in a number of image and video enhancement and restoration applications. This paper describes the proposed framework and accompanies it by numerous examples demonstrating its strength.
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Citations
Cites
Image Denoising Via Sparse and Redundant Representations Over Learned Dictionaries
Elad, M., & Aharon, M. (2006) · IEEE Transactions on Image Processing · doi:10.1109/tip.2006.881969 · Cited by 5,321
Self-citationRegion Filling and Object Removal by Exemplar-Based Image Inpainting
Criminisi, A., Perez, P., & Toyama, K. (2004) · IEEE Transactions on Image Processing · doi:10.1109/tip.2004.833105 · Cited by 3,258 · cited 1×
“, [2, 9]) consists of filling in holes in images.”
BackgroundSparse Representation for Color Image Restoration
Mairal, J., Elad, M., & Sapiro, G. (2008) · IEEE Transactions on Image Processing · doi:10.1109/tip.2007.911828 · Cited by 1,716
Self-citationWedgelets: nearly minimax estimation of edges
Donoho, D. L. (1999) · The Annals of Statistics · doi:10.1214/aos/1018031261 · Cited by 638
Cited by
Double Sparsity: Learning Sparse Dictionaries for Sparse Signal Approximation
Rubinstein, R., Zibulevsky, M., & Elad, M. (2010) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2009.2036477 · Cited by 616
Self-citationYu, G., Sapiro, G., & Mallat, S. (2012) · IEEE Transactions on Image Processing · doi:10.1109/tip.2011.2176743 · Cited by 561
Self-citationSpectral–Spatial Hyperspectral Image Classification via Multiscale Adaptive Sparse Representation
Fang, L., Li, S., Kang, X., & Benediktsson, J. A. (2014) · IEEE Transactions on Geoscience and Remote Sensing · doi:10.1109/tgrs.2014.2318058 · Cited by 321
Metadata
- Authors
- Mairal, J., Sapiro, G., & Elad, M.
- Venue
- Multiscale Modeling & Simulation
- Published
- 2008-01
- Volume
- 7
- Issue
- 1
- Pages
- 214-241
- ISSN
- 1540-3459 (ISSN-L)
- 1540-3467
- OpenAlex
- W2056758595
- Cited by
- 460
- References
- 4
- FWCI
- 43.91
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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