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We analyze multi\u2010channel images to gain robustness and regularize the process by the Polyakov action, which provides an anisotropic smoothing term that uses inter\u2010channel information. Blind deconvolution is then solved by an additional anisotropic regularization term of the same type for the kernel. It is shown that the Beltrami regularizer leads to better results than the total variation (TV) regularizer. An analytic comparison to the TV method is carried out and results on synthetic and real data are demonstrated. \u00a9 2005 Wiley Periodicals, Inc. Int J Imaging Syst Technol, 15, 56\u201363, 2005; Published online in Wiley InterScience (www.interscience.wiley.com). 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Thesis Technion\u2014Israel Institute of Technology Hiafa 2001."},{"key":"e_1_2_1_7_1","doi-asserted-by":"publisher","DOI":"10.1023\/A:1008171026419"},{"key":"e_1_2_1_8_1","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(92)90242-F"},{"key":"e_1_2_1_9_1","volume-title":"Lecture notes in computer science","author":"Sochen N.","year":"1997"},{"key":"e_1_2_1_9_2","unstructured":"N.Sochen R.Kimmel andR.MalladiFirst Int Conf on Scale\u2010Space Theory in Computer Vision Utrecht Netherlands July 2\u20134 1997."},{"key":"e_1_2_1_10_1","doi-asserted-by":"publisher","DOI":"10.1109\/83.661181"},{"key":"e_1_2_1_11_1","doi-asserted-by":"crossref","unstructured":"N.SochenandY.Y.Zeevi Representation of colored images by manifolds embedded in higher dimensional non Euclidean space Proc of ICIP98 Chicago 1998 pp.166\u2013170.","DOI":"10.1109\/ICIP.1998.723450"},{"key":"e_1_2_1_12_1","first-page":"203","volume-title":"Handbook of computational geometry for pattern recognition, computer vision, neurocomputing and robotics","author":"Spira A.","year":"2005"},{"key":"e_1_2_1_13_1","unstructured":"D.Strong Adaptive total variation minimizing image restoration Ph.D. Dissertation University of California Los Angeles (CAM Report 97\u201038) August 1997."},{"key":"e_1_2_1_14_1","doi-asserted-by":"crossref","unstructured":"D.Strong P.Blomgren andT.Chan Spatially adaptive local feature\u2010driven total variation minimizing image restoration CAM Report 97\u201032 UCLA Math Department July 1997.","DOI":"10.1117\/12.279642"},{"key":"e_1_2_1_15_1","unstructured":"D.StrongandT.Chan Edge\u2010preserving and scale\u2010dependent properties of total variation regularization CAM Report 00\u201038 UCLA Math Department October 2000."},{"key":"e_1_2_1_16_1","volume-title":"Solutions of ill\u2010posed problems","author":"Tikhonov A.","year":"1977"},{"key":"e_1_2_1_17_1","unstructured":"D.Tschumperl\u00e9 PDE\u2010Based Regularization of Multivalued Images and Applications Ph.D. Thesis University of Nice Sophia Antipolis December 2002."},{"key":"e_1_2_1_18_1","doi-asserted-by":"publisher","DOI":"10.1137\/0917016"},{"key":"e_1_2_1_19_1","doi-asserted-by":"publisher","DOI":"10.1006\/jvci.1998.0371"}],"container-title":["International Journal of Imaging Systems and Technology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fima.20038","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/ima.20038","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,1,2]],"date-time":"2025-01-02T15:04:09Z","timestamp":1735830249000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/ima.20038"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,1]]},"references-count":19,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2005,1]]}},"alternative-id":["10.1002\/ima.20038"],"URL":"https:\/\/doi.org\/10.1002\/ima.20038","archive":["Portico"],"relation":{},"ISSN":["0899-9457","1098-1098"],"issn-type":[{"value":"0899-9457","type":"print"},{"value":"1098-1098","type":"electronic"}],"subject":[],"published":{"date-parts":[[2005,1]]}}}