{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,5,23]],"date-time":"2024-05-23T13:48:50Z","timestamp":1716472130903},"reference-count":34,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2013,3,23]],"date-time":"2013-03-23T00:00:00Z","timestamp":1363996800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIViP"],"published-print":{"date-parts":[[2015,2]]},"DOI":"10.1007\/s11760-013-0454-1","type":"journal-article","created":{"date-parts":[[2013,3,22]],"date-time":"2013-03-22T09:23:39Z","timestamp":1363944219000},"page":"373-386","source":"Crossref","is-referenced-by-count":5,"title":["An $$\\ell _{1}$$ minimization algorithm for non-smooth regularization in image processing"],"prefix":"10.1007","volume":"9","author":[{"given":"Carlos","family":"Ramirez","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Miguel","family":"Argaez","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2013,3,23]]},"reference":[{"key":"454_CR1","doi-asserted-by":"crossref","unstructured":"Arg\u00e1ez, M., Ramirez, C., Sanchez, R.: An $$\\ell _{1}$$ algorithm for underdetermined systems and applications. In: Annual Meeting of the North American Fuzzy Information Processing Society (NAFIPS) El Paso (2011). doi: 10.1109\/NAFIPS.2011.5752016","DOI":"10.1109\/NAFIPS.2011.5752016"},{"issue":"1","key":"454_CR2","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1137\/080716542","volume":"2","author":"A Beck","year":"2009","unstructured":"Beck, A., Teboulle, M.: A fast iterative shrinkage-thresholding algorithm for linear inverse problems. SIAM J. Imaging Sci. 2(1), 183\u2013202 (2009)","journal-title":"SIAM J. Imaging Sci."},{"issue":"1","key":"454_CR3","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1137\/090756855","volume":"4","author":"S Becker","year":"2010","unstructured":"Becker, S., Bobin, J., Cand\u00e8s, E.: NESTA: a fast and accurate first-order method for sparse recovery. SIAM J. Imaging Sci. 4(1), 1\u201339 (2010)","journal-title":"SIAM J. Imaging Sci."},{"key":"454_CR4","doi-asserted-by":"crossref","unstructured":"Bertalmio, M., Sapiro, G., Caselles, V., Ballester, C.: Image Inpainting. Proceedings of SIGGRAPH 2000. New Orleans, United States (2000)","DOI":"10.1145\/344779.344972"},{"issue":"12","key":"454_CR5","doi-asserted-by":"crossref","first-page":"2992","DOI":"10.1109\/TIP.2007.909319","volume":"16","author":"J Bioucas-Dias","year":"2007","unstructured":"Bioucas-Dias, J., Figueiredo, M.: A new TwIST: two-step iterative shrinkage\/thresholding algorithms for image restoration. IEEE Trans. Image Process. 16(12), 2992\u20133004 (2007)","journal-title":"IEEE Trans. Image Process."},{"issue":"2","key":"454_CR6","doi-asserted-by":"crossref","first-page":"489","DOI":"10.1109\/TIT.2005.862083","volume":"52","author":"E Cand\u00e8s","year":"2006","unstructured":"Cand\u00e8s, E., Romberg, J., Tao, T.: Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information. IEEE Trans. Inf. Theory 52(2), 489\u2013509 (2006)","journal-title":"IEEE Trans. Inf. Theory"},{"key":"454_CR7","unstructured":"Cand\u00e8s, E., Romberg, J.: $$\\ell _{1}-$$ magic: Recovery of Sparse Signals via Convex Programming. http:\/\/users.ece.gatech.edu\/~justin\/l1magic\/ (2005)"},{"key":"454_CR8","unstructured":"Cand\u00e8s, E.: Compressive sampling. In: Proceedings of the International Congress of Mathematicians, Madrid, Spain (2006)"},{"issue":"4","key":"454_CR9","doi-asserted-by":"crossref","first-page":"1168","DOI":"10.1137\/050626090","volume":"4","author":"P Combettes","year":"2005","unstructured":"Combettes, P., Wajs, V.: Signal recovery by proximal forward-backaward splitting. Multiscale Model. Simul. 4(4), 1168\u20131200 (2005)","journal-title":"Multiscale Model. Simul."},{"issue":"4","key":"454_CR10","doi-asserted-by":"crossref","first-page":"1495","DOI":"10.1088\/0266-5611\/23\/4\/008","volume":"23","author":"C Chaux","year":"2007","unstructured":"Chaux, C., Combettes, P., Pesquet, J., Wajs, V.: A variational formulation for frame-based inverse problems. Inverse Probl. 23(4), 1495\u20131518 (2007)","journal-title":"Inverse Probl."},{"issue":"1","key":"454_CR11","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1137\/S003614450037906X","volume":"43","author":"S Chen","year":"2001","unstructured":"Chen, S., Donoho, D., Saunders, M.: Atomic decomposition by basis Pursuit. SIAM Rev. 43(1), 129\u2013159 (2001)","journal-title":"SIAM Rev."},{"issue":"11","key":"454_CR12","doi-asserted-by":"crossref","first-page":"1413","DOI":"10.1002\/cpa.20042","volume":"57","author":"I Daubechies","year":"2004","unstructured":"Daubechies, I., Defrise, M., De Mol, C.: An iterative thresholding algorithm for linear inverse problems with a sparsity constraint. Comm. Pure Appl. Math. 57(11), 1413\u20131457 (2004)","journal-title":"Comm. Pure Appl. Math."},{"key":"454_CR13","unstructured":"Donoho, D., Huo, X.: Uncertainty principles and ideal atomic decomposition. IEEE Trans. Inf. Theory 47(7), 2845\u20132862 (2001)"},{"issue":"4","key":"454_CR14","doi-asserted-by":"crossref","first-page":"1289","DOI":"10.1109\/TIT.2006.871582","volume":"52","author":"D Donoho","year":"2006","unstructured":"Donoho, D.: Compressed sensing. IEEE Trans. Inf. Theory 52(4), 1289\u20131306 (2006)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"7","key":"454_CR15","doi-asserted-by":"crossref","first-page":"907","DOI":"10.1002\/cpa.20131","volume":"59","author":"D Donoho","year":"2006","unstructured":"Donoho, D.: For most large underdetermined systems of linear equations, the minimal $$\\ell _{1}$$ solution is also the sparsest solution. Comm. Pure Appl. Math. 59(7), 907\u2013934 (2006)","journal-title":"Comm. Pure Appl. Math."},{"key":"454_CR16","first-page":"29","volume":"46","author":"D Donoho","year":"2005","unstructured":"Donoho, D., Raimondo, M.: A fast wavelet algorithm for image deblurring. Aust. N.Z. Ind. Appl. Math. J. 46, 29\u201346 (2005)","journal-title":"Aust. N.Z. Ind. Appl. Math. J."},{"key":"454_CR17","doi-asserted-by":"crossref","unstructured":"Fadili, M., Starck, J., Bobin, J., Moudden, Y.: Image decomposition and separation using sparse representations: an overview. Proc. IEEE 98(6), 983\u2013994 (2010)","DOI":"10.1109\/JPROC.2009.2024776"},{"issue":"4","key":"454_CR18","doi-asserted-by":"crossref","first-page":"586","DOI":"10.1109\/JSTSP.2007.910281","volume":"1","author":"M Figueiredo","year":"2007","unstructured":"Figueiredo, M., Nowak, R., Wright, S.: Gradient projection for sparse reconstruction: application to compressed sensing and other inverse problems. IEEE J. Sel. Top. Signal Process. 1(4), 586\u2013597 (2007)","journal-title":"IEEE J. Sel. Top. Signal Process."},{"issue":"8","key":"454_CR19","doi-asserted-by":"crossref","first-page":"906","DOI":"10.1109\/TIP.2003.814255","volume":"12","author":"M Figueiredo","year":"2003","unstructured":"Figueiredo, M., Nowak, R.: An EM algorithm for wavelet-based image restoration. IEEE Trans. Image Process. 12(8), 906\u2013916 (2003)","journal-title":"IEEE Trans. Image Process."},{"issue":"5","key":"454_CR20","doi-asserted-by":"crossref","first-page":"2950","DOI":"10.1137\/10079687X","volume":"33","author":"D Fong","year":"2011","unstructured":"Fong, D., Saunders, M.: LSMR: an iterative algorithm for sparse least-squares problems. SIAM J. Sci. Comput. 33(5), 2950\u20132971 (2011)","journal-title":"SIAM J. Sci. Comput."},{"key":"454_CR21","unstructured":"Goldstein, T., Osher, S.: The split Bregman method for L1- regularized problems. SIAM J. Imaging Sci. 2(2), 323\u2013343 (2009)"},{"key":"454_CR22","unstructured":"Hale, E., Yin, W., Zhang, Y.: A fixed-point continuation method for $$\\ell _{1}$$ -regularized minimization with applications to compresses sensing. Rice University CAAM Technical, Report, Vol. TR07-07 (2007)"},{"key":"454_CR23","doi-asserted-by":"crossref","unstructured":"Hansen, P., Nagy, J., O\u2019Leary, D.: Deblurring images: matrices, spectra and filtering. Fundam. Algorithms 3, SIAM, Philadelphia (2006)","DOI":"10.1137\/1.9780898718874"},{"issue":"4","key":"454_CR24","doi-asserted-by":"crossref","first-page":"606","DOI":"10.1109\/JSTSP.2007.910971","volume":"1","author":"S Kim","year":"2007","unstructured":"Kim, S., Koh, K., Lustig, M., Boyd, S., Gorinvesky, D.: An interior-point method for large-scale $$\\ell _{1}$$ -regularized least squares. IEEE J. Sel. Top. Signal Process. 1(4), 606\u2013617 (2007)","journal-title":"IEEE J. Sel. Top. Signal Process."},{"issue":"6","key":"454_CR25","doi-asserted-by":"crossref","first-page":"2424","DOI":"10.1109\/TSP.2009.2016889","volume":"57","author":"C Miosso","year":"2009","unstructured":"Miosso, C., Von-Borries, R., Arg\u00e1ez, M., Vel\u00e1zquez, L., Quintero, C., Potes, C.: Compressive sensing reconstruction with prior information by iteratively reweighted least-squares. IEEE Trans. Signal Process. 57(6), 2424\u20132431 (2009)","journal-title":"IEEE Trans. Signal Process."},{"issue":"1","key":"454_CR26","doi-asserted-by":"crossref","first-page":"227","DOI":"10.1137\/S0097539792240406","volume":"24","author":"B Natarajan","year":"1995","unstructured":"Natarajan, B.: Sparse approximate solutions to linear systems. SIAM J. Comput. 24(1), 227\u2013234 (1995)","journal-title":"SIAM J. Comput."},{"issue":"2","key":"454_CR27","first-page":"372","volume":"27","author":"Y Nesterov","year":"1983","unstructured":"Nesterov, Y.: A method of solving a convex programming problem with convergence rate $$O(1\/k^{2})$$ . Soviet Math. Dokl. 27(2), 372\u2013376 (1983)","journal-title":"Soviet Math. Dokl."},{"issue":"1","key":"454_CR28","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1007\/s10107-004-0552-5","volume":"103","author":"Y Nesterov","year":"2005","unstructured":"Nesterov, Y.: Smooth minimization of non-smooth functions. Math. Prog. 103(1), 127\u2013152 (2005)","journal-title":"Math. Prog."},{"key":"454_CR29","unstructured":"Ramirez, C.: Digital image processing based on sparse representation and convex programming. Master Thesis, The University of Texas at El Paso, digitalcommons.utep.edu\/dissertations\/AAI1503744 (2011)"},{"key":"454_CR30","doi-asserted-by":"crossref","DOI":"10.1515\/9781400873173","volume-title":"Convex Analysis","author":"R Rockafellar","year":"1970","unstructured":"Rockafellar, R.: Convex Analysis. Princeton University Press, Princeton (1970)"},{"issue":"2","key":"454_CR31","first-page":"890","volume":"21","author":"E Berg Van den","year":"2008","unstructured":"Van den Berg, E., Friedlander, M.: Probing the Pareto frontier for basis pursuit solutions. SIAM J. Sci. Comput. 21(2), 890\u2013912 (2008)","journal-title":"SIAM J. Sci. Comput."},{"key":"454_CR32","unstructured":"Van den Berg, E., Friedlander, M., Hennenfent, G., Herrmann, F., Saab, R., Yilmaz, O.: Sparco: A Testing Framework for Sparse Reconstruction. Technical Report TR-2007-20, University of British Columbia, Vancouver (2007)"},{"key":"454_CR33","doi-asserted-by":"crossref","unstructured":"Wright, S., Nowak, R., Figueiredo, M.: Sparse reconstruction by separable approximation. In: Proceedings of IEEE International Conference on Acoustics, Speech and Signal Processing 2008. ICASSP 2008, Las Vegas, NV., pp. 3373\u20133376 (2008)","DOI":"10.1109\/ICASSP.2008.4518374"},{"key":"454_CR34","doi-asserted-by":"crossref","unstructured":"Yang, A., Ganesh, A., Zhou, Z., Sastry, S., Ma, Y.: Fast L1-Minimization Algorithms and an Application in Robust Face Recognition: A Review. Technical Report No. UCB\/EECS-2010-13, Electrical Engineering and Computer Sciences University of California at Berkeley (2010)","DOI":"10.21236\/ADA525384"}],"container-title":["Signal, Image and Video Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11760-013-0454-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11760-013-0454-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11760-013-0454-1","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,7,11]],"date-time":"2019-07-11T06:50:58Z","timestamp":1562827858000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11760-013-0454-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,3,23]]},"references-count":34,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2015,2]]}},"alternative-id":["454"],"URL":"https:\/\/doi.org\/10.1007\/s11760-013-0454-1","relation":{},"ISSN":["1863-1703","1863-1711"],"issn-type":[{"value":"1863-1703","type":"print"},{"value":"1863-1711","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,3,23]]}}}