The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Signal restoration with overcomplete wavelet transforms: comparison of analysis and synthesis priors
Abstract
The variational approach to signal restoration calls for the minimization of a cost function that is the sum of a data fidelity term and a regularization term, the latter term constituting a 'prior'. A synthesis prior represents the sought signal as a weighted sum of 'atoms'. On the other hand, an analysis prior models the coefficients obtained by applying the forward transform to the signal. For orthonormal transforms, the synthesis prior and analysis prior are equivalent; however, for overcomplete transforms the two formulations are different. We compare analysis and synthesis ℓ1-norm regularization with overcomplete transforms for denoising and deconvolution.
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Cites
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A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
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A New TwIST: Two-Step Iterative Shrinkage/Thresholding Algorithms for Image Restoration
Bioucas-Dias, J. M., & Figueiredo, M. A. T. (2007) · IEEE Transactions on Image Processing · doi:10.1109/tip.2007.909319 · Cited by 2,064 · cited 6×
“To minimize the objective function (10) we use algorithm (5-7), however, the expression involving λ in (6) must be interpreted as:”
BackgroundMethodInfluentialSelf-citationA New Alternating Minimization Algorithm for Total Variation Image Reconstruction
Wang, Y., Yang, J., Yin, W., & Zhang, Y. (2008) · SIAM Journal on Imaging Sciences · doi:10.1137/080724265 · Cited by 1,975
Cited by
Afonso, M. V., Bioucas-Dias, J. M., & Figueiredo, M. A. T. (2011) · IEEE Transactions on Image Processing · doi:10.1109/tip.2010.2076294 · Cited by 938
Self-citationNon-local Color Image Denoising with Convolutional Neural Networks
Lefkimmiatis, S. (2017) · 2017 IEEE Conference on Computer Vision and Pattern Recognition (CVPR) · doi:10.1109/cvpr.2017.623 · Cited by 363
The cosparse analysis model and algorithms
Nam, S., Davies, M. E., Elad, M., & Gribonval, R. (2013) · Applied and Computational Harmonic Analysis · doi:10.1016/j.acha.2012.03.006 · Cited by 353
Robust Multichannel Blind Deconvolution via Fast Alternating Minimization
Sroubek, F., & Milanfar, P. (2012) · IEEE Transactions on Image Processing · doi:10.1109/tip.2011.2175740 · Cited by 180
Sparsity-Aware Learning and Compressed Sensing: An Overview
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Metadata
- Authors
- Selesnick, I. W., & Figueiredo, M. A. T.
- Venue
- SPIE Proceedings
- Publisher
- SPIE
- Published
- 2009-08-20
- Volume
- 7446
- Pages
- 74460D
- ISSN
- 0277-786X (ISSN-L)
- OpenAlex
- W2077237786
- Cited by
- 175
- References
- 4
- FWCI
- 13.63
- Type
- conference paper
- Language
- en
- Open access
- closed
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