Chambolle-Pock algorithm (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Chambolle-Pock algorithm" in English language version.

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12doi.org

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9worldcat.org

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7semanticscholar.org

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4siam.org

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3harvard.edu

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2arxiv.org

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2nih.gov

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1archive.org

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1ipol.im

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1mathnet.ru

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1juliahub.com

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1numerical-tours.com

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1odl.readthedocs.io

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archive.org

Uzawa, H. (1958). "Iterative methods for concave programming". In Arrow, K. J.; Hurwicz, L.; Uzawa, H. (eds.). Studies in linear and nonlinear programming. Stanford University Press.

arxiv.org

Sidky, Emil Y; Jørgensen, Jakob H; Pan, Xiaochuan (2012-05-21). "Convex optimization problem prototyping for image reconstruction in computed tomography with the Chambolle–Pock algorithm". Physics in Medicine and Biology. 57 (10): 3065–3091. arXiv:1111.5632. Bibcode:2012PMB....57.3065S. doi:10.1088/0031-9155/57/10/3065. ISSN 0031-9155. PMC 3370658. PMID 22538474.
Banert, Sebastian; Upadhyaya, Manu; Giselsson, Pontus (2023). "The Chambolle-Pock method converges weakly with $\theta >1/2$ and $\tau \sigma \lVert L\rVert ^{2}<4/(1+2\theta )$ ". arXiv:2309.03998 [math.OC].

doi.org

Chambolle, Antonin; Pock, Thomas (2011-05-01). "A First-Order Primal-Dual Algorithm for Convex Problems with Applications to Imaging". Journal of Mathematical Imaging and Vision. 40 (1): 120–145. doi:10.1007/s10851-010-0251-1. ISSN 1573-7683. S2CID 207175707.
Sidky, Emil Y; Jørgensen, Jakob H; Pan, Xiaochuan (2012-05-21). "Convex optimization problem prototyping for image reconstruction in computed tomography with the Chambolle–Pock algorithm". Physics in Medicine and Biology. 57 (10): 3065–3091. arXiv:1111.5632. Bibcode:2012PMB....57.3065S. doi:10.1088/0031-9155/57/10/3065. ISSN 0031-9155. PMC 3370658. PMID 22538474.
Fang, Faming; Li, Fang; Zeng, Tieyong (2014-03-13). "Single Image Dehazing and Denoising: A Fast Variational Approach". SIAM Journal on Imaging Sciences. 7 (2): 969–996. doi:10.1137/130919696. ISSN 1936-4954.
Allag, A.; Benammar, A.; Drai, R.; Boutkedjirt, T. (2019-07-01). "Tomographic Image Reconstruction in the Case of Limited Number of X-Ray Projections Using Sinogram Inpainting". Russian Journal of Nondestructive Testing. 55 (7): 542–548. doi:10.1134/S1061830919070027. ISSN 1608-3385. S2CID 203437503.
Pock, Thomas; Cremers, Daniel; Bischof, Horst; Chambolle, Antonin (2009). "An algorithm for minimizing the Mumford-Shah functional". 2009 IEEE 12th International Conference on Computer Vision. pp. 1133–1140. doi:10.1109/ICCV.2009.5459348. ISBN 978-1-4244-4420-5. S2CID 15991312.
"A Generic Proximal Algorithm for Convex Optimization—Application to Total Variation Minimization". IEEE Signal Processing Letters. 21 (8): 985–989. 2014. Bibcode:2014ISPL...21..985.. doi:10.1109/LSP.2014.2322123. ISSN 1070-9908. S2CID 8976837.
Ekeland, Ivar; Témam, Roger (1999). Convex Analysis and Variational Problems. Society for Industrial and Applied Mathematics. p. 61. doi:10.1137/1.9781611971088. ISBN 978-0-89871-450-0.
Pock, Thomas; Chambolle, Antonin (2011-11-06). "Diagonal preconditioning for first order primal-dual algorithms in convex optimization". 2011 International Conference on Computer Vision. pp. 1762–1769. doi:10.1109/ICCV.2011.6126441. ISBN 978-1-4577-1102-2. S2CID 17485166.
Chambolle, Antonin (2004-01-01). "An Algorithm for Total Variation Minimization and Applications". Journal of Mathematical Imaging and Vision. 20 (1): 89–97. doi:10.1023/B:JMIV.0000011325.36760.1e. ISSN 1573-7683. S2CID 207622122.
Esser, Ernie; Zhang, Xiaoqun; Chan, Tony F. (2010). "A General Framework for a Class of First Order Primal-Dual Algorithms for Convex Optimization in Imaging Science". SIAM Journal on Imaging Sciences. 3 (4): 1015–1046. doi:10.1137/09076934X. ISSN 1936-4954.
Lions, P. L.; Mercier, B. (1979). "Splitting Algorithms for the Sum of Two Nonlinear Operators". SIAM Journal on Numerical Analysis. 16 (6): 964–979. Bibcode:1979SJNA...16..964L. doi:10.1137/0716071. ISSN 0036-1429. JSTOR 2156649.
Beck, Amir; Teboulle, Marc (2009). "A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems". SIAM Journal on Imaging Sciences. 2 (1): 183–202. doi:10.1137/080716542. ISSN 1936-4954. S2CID 3072879.

harvard.edu

ui.adsabs.harvard.edu

Sidky, Emil Y; Jørgensen, Jakob H; Pan, Xiaochuan (2012-05-21). "Convex optimization problem prototyping for image reconstruction in computed tomography with the Chambolle–Pock algorithm". Physics in Medicine and Biology. 57 (10): 3065–3091. arXiv:1111.5632. Bibcode:2012PMB....57.3065S. doi:10.1088/0031-9155/57/10/3065. ISSN 0031-9155. PMC 3370658. PMID 22538474.
"A Generic Proximal Algorithm for Convex Optimization—Application to Total Variation Minimization". IEEE Signal Processing Letters. 21 (8): 985–989. 2014. Bibcode:2014ISPL...21..985.. doi:10.1109/LSP.2014.2322123. ISSN 1070-9908. S2CID 8976837.
Lions, P. L.; Mercier, B. (1979). "Splitting Algorithms for the Sum of Two Nonlinear Operators". SIAM Journal on Numerical Analysis. 16 (6): 964–979. Bibcode:1979SJNA...16..964L. doi:10.1137/0716071. ISSN 0036-1429. JSTOR 2156649.

ieee.org

ieeexplore.ieee.org

Pock, Thomas; Cremers, Daniel; Bischof, Horst; Chambolle, Antonin (2009). "An algorithm for minimizing the Mumford-Shah functional". 2009 IEEE 12th International Conference on Computer Vision. pp. 1133–1140. doi:10.1109/ICCV.2009.5459348. ISBN 978-1-4244-4420-5. S2CID 15991312.
"A Generic Proximal Algorithm for Convex Optimization—Application to Total Variation Minimization". IEEE Signal Processing Letters. 21 (8): 985–989. 2014. Bibcode:2014ISPL...21..985.. doi:10.1109/LSP.2014.2322123. ISSN 1070-9908. S2CID 8976837.
Pock, Thomas; Chambolle, Antonin (2011-11-06). "Diagonal preconditioning for first order primal-dual algorithms in convex optimization". 2011 International Conference on Computer Vision. pp. 1762–1769. doi:10.1109/ICCV.2011.6126441. ISBN 978-1-4577-1102-2. S2CID 17485166.

ipol.im

Getreuer, Pascal (2012). "Rudin–Osher–Fatemi Total Variation Denoising using Split Bregman" (PDF).

jstor.org

Lions, P. L.; Mercier, B. (1979). "Splitting Algorithms for the Sum of Two Nonlinear Operators". SIAM Journal on Numerical Analysis. 16 (6): 964–979. Bibcode:1979SJNA...16..964L. doi:10.1137/0716071. ISSN 0036-1429. JSTOR 2156649.

juliahub.com

docs.juliahub.com

"Chambolle-Pock · Manopt.jl". docs.juliahub.com. Retrieved 2023-07-07.

mathnet.ru

Nestorov, Yu.E. "A method of solving a convex programming problem with convergence rate $O{\bigl (}{\frac {1}{k^{2}}}{\bigr )}$ ". Dokl. Akad. Nauk SSSR. 269 (3): 543–547.

nih.gov

ncbi.nlm.nih.gov

Sidky, Emil Y; Jørgensen, Jakob H; Pan, Xiaochuan (2012-05-21). "Convex optimization problem prototyping for image reconstruction in computed tomography with the Chambolle–Pock algorithm". Physics in Medicine and Biology. 57 (10): 3065–3091. arXiv:1111.5632. Bibcode:2012PMB....57.3065S. doi:10.1088/0031-9155/57/10/3065. ISSN 0031-9155. PMC 3370658. PMID 22538474.

pubmed.ncbi.nlm.nih.gov

Sidky, Emil Y; Jørgensen, Jakob H; Pan, Xiaochuan (2012-05-21). "Convex optimization problem prototyping for image reconstruction in computed tomography with the Chambolle–Pock algorithm". Physics in Medicine and Biology. 57 (10): 3065–3091. arXiv:1111.5632. Bibcode:2012PMB....57.3065S. doi:10.1088/0031-9155/57/10/3065. ISSN 0031-9155. PMC 3370658. PMID 22538474.

numerical-tours.com

"Numerical Tours - A Numerical Tour of Data Science". www.numerical-tours.com. Retrieved 2023-07-07.

odl.readthedocs.io

"Chambolle-Pock solver — odl 0.6.1.dev0 documentation". odl.readthedocs.io. Retrieved 2023-07-07.

semanticscholar.org

api.semanticscholar.org

Chambolle, Antonin; Pock, Thomas (2011-05-01). "A First-Order Primal-Dual Algorithm for Convex Problems with Applications to Imaging". Journal of Mathematical Imaging and Vision. 40 (1): 120–145. doi:10.1007/s10851-010-0251-1. ISSN 1573-7683. S2CID 207175707.
Allag, A.; Benammar, A.; Drai, R.; Boutkedjirt, T. (2019-07-01). "Tomographic Image Reconstruction in the Case of Limited Number of X-Ray Projections Using Sinogram Inpainting". Russian Journal of Nondestructive Testing. 55 (7): 542–548. doi:10.1134/S1061830919070027. ISSN 1608-3385. S2CID 203437503.
Pock, Thomas; Cremers, Daniel; Bischof, Horst; Chambolle, Antonin (2009). "An algorithm for minimizing the Mumford-Shah functional". 2009 IEEE 12th International Conference on Computer Vision. pp. 1133–1140. doi:10.1109/ICCV.2009.5459348. ISBN 978-1-4244-4420-5. S2CID 15991312.
"A Generic Proximal Algorithm for Convex Optimization—Application to Total Variation Minimization". IEEE Signal Processing Letters. 21 (8): 985–989. 2014. Bibcode:2014ISPL...21..985.. doi:10.1109/LSP.2014.2322123. ISSN 1070-9908. S2CID 8976837.
Pock, Thomas; Chambolle, Antonin (2011-11-06). "Diagonal preconditioning for first order primal-dual algorithms in convex optimization". 2011 International Conference on Computer Vision. pp. 1762–1769. doi:10.1109/ICCV.2011.6126441. ISBN 978-1-4577-1102-2. S2CID 17485166.
Chambolle, Antonin (2004-01-01). "An Algorithm for Total Variation Minimization and Applications". Journal of Mathematical Imaging and Vision. 20 (1): 89–97. doi:10.1023/B:JMIV.0000011325.36760.1e. ISSN 1573-7683. S2CID 207622122.
Beck, Amir; Teboulle, Marc (2009). "A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems". SIAM Journal on Imaging Sciences. 2 (1): 183–202. doi:10.1137/080716542. ISSN 1936-4954. S2CID 3072879.

siam.org

epubs.siam.org

Fang, Faming; Li, Fang; Zeng, Tieyong (2014-03-13). "Single Image Dehazing and Denoising: A Fast Variational Approach". SIAM Journal on Imaging Sciences. 7 (2): 969–996. doi:10.1137/130919696. ISSN 1936-4954.
Ekeland, Ivar; Témam, Roger (1999). Convex Analysis and Variational Problems. Society for Industrial and Applied Mathematics. p. 61. doi:10.1137/1.9781611971088. ISBN 978-0-89871-450-0.
Esser, Ernie; Zhang, Xiaoqun; Chan, Tony F. (2010). "A General Framework for a Class of First Order Primal-Dual Algorithms for Convex Optimization in Imaging Science". SIAM Journal on Imaging Sciences. 3 (4): 1015–1046. doi:10.1137/09076934X. ISSN 1936-4954.
Beck, Amir; Teboulle, Marc (2009). "A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems". SIAM Journal on Imaging Sciences. 2 (1): 183–202. doi:10.1137/080716542. ISSN 1936-4954. S2CID 3072879.

worldcat.org

search.worldcat.org

Chambolle, Antonin; Pock, Thomas (2011-05-01). "A First-Order Primal-Dual Algorithm for Convex Problems with Applications to Imaging". Journal of Mathematical Imaging and Vision. 40 (1): 120–145. doi:10.1007/s10851-010-0251-1. ISSN 1573-7683. S2CID 207175707.
Sidky, Emil Y; Jørgensen, Jakob H; Pan, Xiaochuan (2012-05-21). "Convex optimization problem prototyping for image reconstruction in computed tomography with the Chambolle–Pock algorithm". Physics in Medicine and Biology. 57 (10): 3065–3091. arXiv:1111.5632. Bibcode:2012PMB....57.3065S. doi:10.1088/0031-9155/57/10/3065. ISSN 0031-9155. PMC 3370658. PMID 22538474.
Fang, Faming; Li, Fang; Zeng, Tieyong (2014-03-13). "Single Image Dehazing and Denoising: A Fast Variational Approach". SIAM Journal on Imaging Sciences. 7 (2): 969–996. doi:10.1137/130919696. ISSN 1936-4954.
Allag, A.; Benammar, A.; Drai, R.; Boutkedjirt, T. (2019-07-01). "Tomographic Image Reconstruction in the Case of Limited Number of X-Ray Projections Using Sinogram Inpainting". Russian Journal of Nondestructive Testing. 55 (7): 542–548. doi:10.1134/S1061830919070027. ISSN 1608-3385. S2CID 203437503.
"A Generic Proximal Algorithm for Convex Optimization—Application to Total Variation Minimization". IEEE Signal Processing Letters. 21 (8): 985–989. 2014. Bibcode:2014ISPL...21..985.. doi:10.1109/LSP.2014.2322123. ISSN 1070-9908. S2CID 8976837.
Chambolle, Antonin (2004-01-01). "An Algorithm for Total Variation Minimization and Applications". Journal of Mathematical Imaging and Vision. 20 (1): 89–97. doi:10.1023/B:JMIV.0000011325.36760.1e. ISSN 1573-7683. S2CID 207622122.
Esser, Ernie; Zhang, Xiaoqun; Chan, Tony F. (2010). "A General Framework for a Class of First Order Primal-Dual Algorithms for Convex Optimization in Imaging Science". SIAM Journal on Imaging Sciences. 3 (4): 1015–1046. doi:10.1137/09076934X. ISSN 1936-4954.
Lions, P. L.; Mercier, B. (1979). "Splitting Algorithms for the Sum of Two Nonlinear Operators". SIAM Journal on Numerical Analysis. 16 (6): 964–979. Bibcode:1979SJNA...16..964L. doi:10.1137/0716071. ISSN 0036-1429. JSTOR 2156649.
Beck, Amir; Teboulle, Marc (2009). "A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems". SIAM Journal on Imaging Sciences. 2 (1): 183–202. doi:10.1137/080716542. ISSN 1936-4954. S2CID 3072879.