The DOI matches its Crossref record; 36 of the 36 references it cites were found in a registry or an index.
A Douglas–Rachford Splitting Approach to Nonsmooth Convex Variational Signal Recovery
Abstract
Under consideration is the large body of signal recovery problems that can be formulated as the problem of minimizing the sum of two (not necessarily smooth) lower semicontinuous convex functions in a real Hilbert space. This generic problem is analyzed and a decomposition method is proposed to solve it. The convergence of the method, which is based on the Douglas-Rachford algorithm for monotone operator-splitting, is obtained under general conditions. Applications to non-Gaussian image denoising in a tight frame are also demonstrated.
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Cites
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An iterative thresholding algorithm for linear inverse problems with a sparsity constraint.
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The contourlet transform: an efficient directional multiresolution image representation
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Signal Recovery by Proximal Forward-Backward Splitting
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Self-citationImage reconstruction from projections : the fundamentals of computerized tomography
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Splitting Algorithms for the Sum of Two Nonlinear Operators
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Cited by
Boyd, S., Parikh, N., Chu, E., Peleato, B., & Eckstein, J. (2011) · Foundations and Trends® in Machine Learning · doi:10.1561/2200000016 · Cited by 17,075
Boyd, S. (2010) · now publishers, Inc. eBooks · doi:10.1561/9781601984616 · Cited by 12,677
Parikh, N., & Boyd, S. (2014) · Foundations and Trends® in Optimization · doi:10.1561/2400000003 · Cited by 4,102
Fast Image Recovery Using Variable Splitting and Constrained Optimization
Afonso, M. V., Bioucas-Dias, J. M., & Figueiredo, M. A. T. (2010) · IEEE Transactions on Image Processing · doi:10.1109/tip.2010.2047910 · Cited by 1,223
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
Metadata
- Authors
- Combettes, P. L., & Pesquet, J.-C.
- Venue
- IEEE Journal of Selected Topics in Signal Processing
- Published
- 2007-12
- Volume
- 1
- Issue
- 4
- Pages
- 564-574
- ISSN
- 1932-4553 (ISSN-L)
- 1941-0484
- OpenAlex
- W2142280715
- Cited by
- 490
- References
- 36
- FWCI
- 26.26
- Type
- journal article
- Language
- en
- Open access
- closed
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