{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,8]],"date-time":"2026-02-08T12:28:34Z","timestamp":1770553714237,"version":"3.49.0"},"reference-count":48,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2013,7,10]],"date-time":"2013-07-10T00:00:00Z","timestamp":1373414400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Math Imaging Vis"],"published-print":{"date-parts":[[2014,1]]},"DOI":"10.1007\/s10851-012-0410-7","type":"journal-article","created":{"date-parts":[[2013,7,9]],"date-time":"2013-07-09T14:49:05Z","timestamp":1373381345000},"page":"185-201","source":"Crossref","is-referenced-by-count":28,"title":["A Linear Systems Approach to Imaging Through Turbulence"],"prefix":"10.1007","volume":"48","author":[{"given":"Mario","family":"Micheli","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yifei","family":"Lou","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Stefano","family":"Soatto","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Andrea L.","family":"Bertozzi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2013,7,10]]},"reference":[{"key":"410_CR1","volume-title":"Digital Image Restoration","author":"H.C. Andrews","year":"1977","unstructured":"Andrews, H.C., Hunt, B.R.: Digital Image Restoration. Prentice Hall, Englewood Cliffs (1977)"},{"key":"410_CR2","volume-title":"SPIE Atmospheric Optics: Models, Measurements, and Target-in-the-Loop Propagation","author":"M. Aubailly","year":"2009","unstructured":"Aubailly, M., Vorontsov, M.A., Carhart, G.W., Valley, M.T.: Automated video enhancement from a stream of atmospherically-distorted images: the lucky-region fusion approach. In: SPIE Atmospheric Optics: Models, Measurements, and Target-in-the-Loop Propagation, San Diego, CA, Aug. (2009)"},{"key":"410_CR3","first-page":"573","volume-title":"Proceedings of the Fourth European Conference on Computer Vision","author":"B. Bascle","year":"1996","unstructured":"Bascle, B., Blake, A., Zisserman, A.: Motion deblurring and super-resolution from an image sequence. In: Proceedings of the Fourth European Conference on Computer Vision, pp. 573\u2013582. Springer, Berlin (1996)"},{"issue":"2","key":"410_CR4","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1023\/B:VISI.0000043755.93987.aa","volume":"61","author":"M.F. Beg","year":"2005","unstructured":"Beg, M.F., Miller, M.I., Trouv\u00e9, A., Younes, L.: Computing large deformation metric mappings via geodesic flows of diffeomorphisms. Int. J. Comput. Vis. 61(2), 139\u2013157 (2005)","journal-title":"Int. J. Comput. Vis."},{"issue":"1","key":"410_CR5","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1006\/cviu.1996.0006","volume":"63","author":"M.J. Black","year":"1996","unstructured":"Black, M.J., Anandan, P.: The robust estimation of multiple motions: parametric and piecewise-smooth flow fields. Comput. Vis. Image Underst. 63(1), 75\u2013104 (1996)","journal-title":"Comput. Vis. Image Underst."},{"key":"410_CR6","volume-title":"Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR\u201905)","author":"A. Buades","year":"2005","unstructured":"Buades, A., Coll, B., Morel, J.-M.: A non-local algorithm for image denoising. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR\u201905), San Diego, CA (2005)"},{"issue":"3","key":"410_CR7","doi-asserted-by":"crossref","first-page":"490","DOI":"10.1137\/040616024","volume":"4","author":"A. Buades","year":"2005","unstructured":"Buades, A., Coll, B., Morel, J.-M.: A review of image denoising methods, with a new one. Multiscale Model. Simul. 4(3), 490\u2013530 (2005)","journal-title":"Multiscale Model. Simul."},{"key":"410_CR8","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1023\/B:JMIV.0000011320.81911.38","volume":"20","author":"A. Chambolle","year":"2004","unstructured":"Chambolle, A.: An algorithm for total variation minimization and applications. J. Math. Imaging Vis. 20, 89\u201397 (2004)","journal-title":"J. Math. Imaging Vis."},{"issue":"5","key":"410_CR9","doi-asserted-by":"crossref","first-page":"751","DOI":"10.1007\/s00138-010-0262-3","volume":"22","author":"A.B. Chan","year":"2011","unstructured":"Chan, A.B., Mahadevan, V., Vasconcelos, N.: Generalized Stauffer\u2013Grimson background subtraction for dynamic scenes. Mach. Vis. Appl. 22(5), 751\u2013766 (2011)","journal-title":"Mach. Vis. Appl."},{"issue":"3","key":"410_CR10","doi-asserted-by":"crossref","first-page":"370","DOI":"10.1109\/83.661187","volume":"7","author":"T.F. Chan","year":"1998","unstructured":"Chan, T.F., Wong, C.-K.: Total variation blind deconvolution. IEEE Trans. Image Process. 7(3), 370\u2013375 (1998)","journal-title":"IEEE Trans. Image Process."},{"issue":"2","key":"410_CR11","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1023\/A:1021669406132","volume":"51","author":"G. Doretto","year":"2003","unstructured":"Doretto, G., Chiuso, A., Wu, Y.N., Soatto, S.: Dynamic textures. Int. J. Comput. Vis. 51(2), 91\u2013109 (2003)","journal-title":"Int. J. Comput. Vis."},{"issue":"11","key":"410_CR12","doi-asserted-by":"crossref","first-page":"1427","DOI":"10.1364\/JOSA.55.001427","volume":"55","author":"D.L. Fried","year":"1965","unstructured":"Fried, D.L.: Statistics of a geometric representation of wavefront distortion. J. Opt. Soc. Am. 55(11), 1427\u20131435 (1965)","journal-title":"J. Opt. Soc. Am."},{"issue":"10","key":"410_CR13","doi-asserted-by":"crossref","first-page":"1372","DOI":"10.1364\/JOSA.56.001372","volume":"56","author":"D.L. Fried","year":"1966","unstructured":"Fried, D.L.: Optical resolution through a randomly inhomogeneous medium for very long and very short exposures. J. Opt. Soc. Am. 56(10), 1372\u20131379 (1966)","journal-title":"J. Opt. Soc. Am."},{"key":"410_CR14","doi-asserted-by":"crossref","first-page":"1651","DOI":"10.1364\/JOSA.68.001651","volume":"68","author":"D.L. Fried","year":"1978","unstructured":"Fried, D.L.: Probability of getting a lucky short-exposure image through turbulence. J. Opt. Soc. Am. 68, 1651\u20131657 (1978)","journal-title":"J. Opt. Soc. Am."},{"issue":"3","key":"410_CR15","doi-asserted-by":"crossref","first-page":"1005","DOI":"10.1137\/070698592","volume":"7","author":"G. Gilboa","year":"2008","unstructured":"Gilboa, G., Osher, S.: Nonlocal operators with applications to image processing. Multiscale Model. Simul. 7(3), 1005\u20131028 (2008)","journal-title":"Multiscale Model. Simul."},{"key":"410_CR16","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"400","DOI":"10.1007\/978-3-540-88458-3_36","volume-title":"Advanced Concepts for Intelligent Vision Systems","author":"J. Gilles","year":"2008","unstructured":"Gilles, J., Dagobert, T., De Franchis, C.: Atmospheric turbulence restoration by diffeomorphic image registration and blind deconvolution. In: Advanced Concepts for Intelligent Vision Systems. Lecture Notes in Computer Science, vol. 5259, pp. 400\u2013409. Springer, Berlin (2008)"},{"key":"410_CR17","doi-asserted-by":"crossref","unstructured":"Gilles, J., Osher, S.: Fried deconvolution. CAM Technical Report 11-62, UCLA Department of Mathematics, Dec. (2011)","DOI":"10.1117\/12.917234"},{"issue":"2","key":"410_CR18","doi-asserted-by":"crossref","first-page":"323","DOI":"10.1137\/080725891","volume":"2","author":"T. Goldstein","year":"2009","unstructured":"Goldstein, T., Osher, S.: The split Bregman method for L 1 regularized problems. SIAM J. Imaging Sci. 2(2), 323\u2013343 (2009)","journal-title":"SIAM J. Imaging Sci."},{"key":"410_CR19","volume-title":"Matrix Computations","author":"G.H. Golub","year":"1996","unstructured":"Golub, G.H., Van Loan, C.F.: Matrix Computations, 3rd edn. Johns Hopkins University Press, Baltimore (1996)","edition":"3"},{"issue":"1","key":"410_CR20","doi-asserted-by":"crossref","first-page":"74","DOI":"10.1002\/ima.20040","volume":"15","author":"L. He","year":"2005","unstructured":"He, L., Marquina, A., Osher, S.: Blind deconvolution using TV regularization and Bregman iteration. Int. J. Imaging Syst. Technol. 15(1), 74\u201383 (2005)","journal-title":"Int. J. Imaging Syst. Technol."},{"key":"410_CR21","doi-asserted-by":"crossref","first-page":"607","DOI":"10.1109\/CVPR.2010.5540158","volume-title":"Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR 2010)","author":"M. Hirsch","year":"2010","unstructured":"Hirsch, M., Sra, S., Sch\u00f6lkopf, B., Harmeling, S.: Efficient filter flow for space-variant multiframe blind deconvolution. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR 2010), San Francisco, CA, June, pp. 607\u2013614 (2010)"},{"issue":"1\u20133","key":"410_CR22","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1016\/0004-3702(81)90024-2","volume":"17","author":"B.K.P. Horn","year":"1981","unstructured":"Horn, B.K.P., Schunck, B.G.: Determining optical flow. Artif. Intell. 17(1\u20133), 185\u2013203 (1981)","journal-title":"Artif. Intell."},{"key":"410_CR23","volume-title":"Stochastic Systems: Estimation, Identification, and Adaptive Control","author":"P.R. Kumar","year":"1986","unstructured":"Kumar, P.R., Varaiya, P.: Stochastic Systems: Estimation, Identification, and Adaptive Control. Prentice Hall, Englewood Cliffs (1986)"},{"issue":"3","key":"410_CR24","doi-asserted-by":"crossref","first-page":"340","DOI":"10.1109\/LGRS.2007.895691","volume":"4","author":"D. Li","year":"2007","unstructured":"Li, D., Mersereau, R.M., Simske, S.: Atmospheric turbulence-degraded image restoration using principal components analysis. IEEE Geosci. Remote Sens. Lett. 4(3), 340\u2013344 (2007)","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"410_CR25","unstructured":"Lin, H.T., Tai, Y.-W., Brown, M.S.: Motion regularization for matting motion blurred objects. IEEE Trans. Pattern Anal. Mach. Intell. (2011, to appear)"},{"key":"410_CR26","volume-title":"System Identification: Theory for the User","author":"L. Ljung","year":"1999","unstructured":"Ljung, L.: System Identification: Theory for the User, 2nd edn. Prentice Hall, Englewood Cliffs (1999)","edition":"2"},{"key":"410_CR27","doi-asserted-by":"crossref","unstructured":"Lou, Y., Zhang, X., Osher, S., Bertozzi, A.: Image recovery via nonlocal operators. Journal of Scientific Computing 2(42) (2010)","DOI":"10.1007\/s10915-009-9320-2"},{"key":"410_CR28","doi-asserted-by":"crossref","unstructured":"Mao, Y., Gilles, J.: Non-rigid geometric distortions corrections \u2013 application to atmospheric turbulence stabilization. Inverse Probl. Imaging 6(3) (2012, to appear)","DOI":"10.3934\/ipi.2012.6.531"},{"key":"410_CR29","volume-title":"Proceedings of the IEEE 11th International Conference on Computer Vision (ICCV 2007)","author":"S. Metari","year":"2007","unstructured":"Metari, S., Desch\u00eanes, F.: A new convolution kernel for atmospheric point spread function applied to computer vision. In: Proceedings of the IEEE 11th International Conference on Computer Vision (ICCV 2007), Rio de Janeiro, Brazil, Oct. 2007"},{"issue":"1\/2","key":"410_CR30","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1023\/A:1011161132514","volume":"41","author":"M.I. Miller","year":"2001","unstructured":"Miller, M.I., Younes, L.: Group actions, homeomorphisms, and matching: a general framework. Int. J. Comput. Vis. 41(1\/2), 61\u201384 (2001)","journal-title":"Int. J. Comput. Vis."},{"key":"410_CR31","doi-asserted-by":"crossref","first-page":"1087","DOI":"10.1086\/177578","volume":"466","author":"R.G. Paxman","year":"1996","unstructured":"Paxman, R.G., Seldin, J.H., L\u00f6fdahl, M.G., Scharmer, G.B., Keller, C.U.: Evaluation of phase-diversity techniques for solar-image restoration. Astrophys. J. 466, 1087\u20131099 (1996)","journal-title":"Astrophys. J."},{"issue":"16","key":"410_CR32","doi-asserted-by":"crossref","first-page":"1231","DOI":"10.1364\/OL.19.001231","volume":"19","author":"R.G. Paxman","year":"1994","unstructured":"Paxman, R.G., Thelen, B.J., Seldin, J.H.: Phase-diversity correction of turbulence-induced space-variant blur. Opt. Lett. 19(16), 1231\u20131233 (1994)","journal-title":"Opt. Lett."},{"key":"410_CR33","unstructured":"Pennec, X.: Probabilities and Statistics on Riemannian Manifolds: a Geometric Approach. Research Report 5093, INRIA, January 2004"},{"key":"410_CR34","volume-title":"Adaptive Optics in Astronomy","author":"F. Roddier","year":"2004","unstructured":"Roddier, F.: Adaptive Optics in Astronomy. Cambridge University Press, Cambridge (2004)"},{"issue":"10","key":"410_CR35","doi-asserted-by":"crossref","first-page":"3254","DOI":"10.1117\/12.181250","volume":"33","author":"M.C. Roggemann","year":"1994","unstructured":"Roggemann, M.C., Stoudt, C.A., Welsh, B.M.: Image-spectrum signal-to-noise-ratio improvements by statistical frame selection for adaptive-optics imaging through atmospheric turbulence. Opt. Eng. 33(10), 3254\u20133264 (1994)","journal-title":"Opt. Eng."},{"key":"410_CR36","volume-title":"Imaging Through Turbulence","author":"M.C. Roggemann","year":"1996","unstructured":"Roggemann, M.C., Welsh, B.M.: Imaging Through Turbulence. CRC Press, Boca Raton (1996)"},{"issue":"1\u20134","key":"410_CR37","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1016\/0167-2789(92)90242-F","volume":"60","author":"L.I. Rudin","year":"1992","unstructured":"Rudin, L.I., Osher, S., Fatemi, E.: Nonlinear total variation based noise removal algorithms. Physica D 60(1\u20134), 259\u2013268 (1992)","journal-title":"Physica D"},{"key":"410_CR38","volume-title":"Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR 2008)","author":"M. Shimizu","year":"2008","unstructured":"Shimizu, M., Yoshimura, S., Tanaka, M., Okutomi, M.: Super-resolution from image sequence under influence of hot-air optical turbulence. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR 2008), Anchorage, Alaska, June 2008"},{"issue":"4","key":"410_CR39","doi-asserted-by":"crossref","first-page":"253","DOI":"10.1111\/j.1467-9892.1982.tb00349.x","volume":"3","author":"R.H. Shumway","year":"1982","unstructured":"Shumway, R.H., Stoffer, D.S.: An approach to time series smoothing and forecasting using the EM algorithm. J. Time Ser. Anal. 3(4), 253\u2013264 (1982)","journal-title":"J. Time Ser. Anal."},{"issue":"1","key":"410_CR40","doi-asserted-by":"crossref","first-page":"347","DOI":"10.1364\/JOSAA.11.000347","volume":"11","author":"J. Stone","year":"1994","unstructured":"Stone, J., Hu, P.H., Mills, S.P., Ma, S.: Anisoplanatic effects in finite-aperture optical systems. J. Opt. Soc. Am. A 11(1), 347\u2013357 (1994)","journal-title":"J. Opt. Soc. Am. A"},{"key":"410_CR41","volume-title":"SPIE Image Reconstruction from Incomplete Data","author":"M. Tahtali","year":"2008","unstructured":"Tahtali, M., Lambert, A., Fraser, D.: Self-tuning Kalman filter estimation of atmospheric warp. In: SPIE Image Reconstruction from Incomplete Data, San Diego, CA, Aug. 2008"},{"issue":"8","key":"410_CR42","doi-asserted-by":"crossref","first-page":"1603","DOI":"10.1109\/TPAMI.2010.222","volume":"33","author":"Y.-W. Tai","year":"2011","unstructured":"Tai, Y.-W., Tan, P., Brown, M.S.: Richardson-Lucy deblurring for scenes under a projective motion path. IEEE Trans. Pattern Anal. Mach. Intell. 33(8), 1603\u20131618 (2011)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"410_CR43","volume-title":"Solution of Ill-Posed Problems","author":"A.N. Tikhonov","year":"1977","unstructured":"Tikhonov, A.N., Arsenin, V.Y.: Solution of Ill-Posed Problems, Winston, Washington DC (1977)"},{"issue":"1","key":"410_CR44","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1016\/0005-1098(94)90230-5","volume":"30","author":"P. Overschee Van","year":"1994","unstructured":"Van Overschee, P., De Moor, B.: N4sid: subspace algorithms for the identification of combined deterministic-stochastic systems. Automatica 30(1), 75\u201393 (1994)","journal-title":"Automatica"},{"issue":"1","key":"410_CR45","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1364\/JOSAA.8.000069","volume":"8","author":"B.M. Welsh","year":"1991","unstructured":"Welsh, B.M., Gardner, C.S.: Effects of turbulence-induced anisoplanatism on the imaging performance of adaptive-astronomical telescopes using laser guide stars. J. Opt. Soc. Am. A 8(1), 69\u201381 (1991)","journal-title":"J. Opt. Soc. Am. A"},{"key":"410_CR46","series-title":"Applied Mathematical Sciences","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-12055-8","volume-title":"Shapes and Diffeomorphisms","author":"L. Younes","year":"2010","unstructured":"Younes, L.: Shapes and Diffeomorphisms. Applied Mathematical Sciences, vol. 171. Springer, Berlin (2010)"},{"key":"410_CR47","volume-title":"SPIE Electronic Imaging","author":"X. Zhu","year":"2010","unstructured":"Zhu, X., Milanfar, P.: Image reconstruction from videos distorted by atmospheric turbulence. In: SPIE Electronic Imaging, San Jose, CA, Jan. 2010"},{"key":"410_CR48","volume-title":"Proceedings of the of the IEEE International Conference on Computational Photography (ICCP 2011)","author":"X. Zhu","year":"2011","unstructured":"Zhu, X., Milanfar, P.: Stabilizing and deblurring atmospheric turbulence. In: Proceedings of the of the IEEE International Conference on Computational Photography (ICCP 2011), Carnegie Mellon University, Pittsburgh (2011)"}],"container-title":["Journal of Mathematical Imaging and Vision"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10851-012-0410-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10851-012-0410-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10851-012-0410-7","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,4,30]],"date-time":"2025-04-30T13:00:48Z","timestamp":1746018048000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10851-012-0410-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,7,10]]},"references-count":48,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2014,1]]}},"alternative-id":["410"],"URL":"https:\/\/doi.org\/10.1007\/s10851-012-0410-7","relation":{},"ISSN":["0924-9907","1573-7683"],"issn-type":[{"value":"0924-9907","type":"print"},{"value":"1573-7683","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,7,10]]}}}