{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T13:28:59Z","timestamp":1787318939558,"version":"build-2736575974"},"reference-count":30,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Imaging Sci."],"published-print":{"date-parts":[[2011,1]]},"abstract":"<jats:p>Human vision has the ability to recognize color under varying illumination conditions. Retinex theory is introduced to explain how the human visual system perceives color. The main aim of this paper is to present a total variation model for Retinex. Different from the existing methods, we consider and study two important elements which include illumination and reflection. We assume spatial smoothness of the illumination and piecewise continuity of the reflection, where the total variation term is employed in the model. The existence of the solution of the model is shown in the paper. We employ a fast computation method to solve the proposed minimization problem. Numerical examples are presented to illustrate the effectiveness of the proposed model.<\/jats:p>","DOI":"10.1137\/100806588","type":"journal-article","created":{"date-parts":[[2011,3,22]],"date-time":"2011-03-22T18:08:50Z","timestamp":1300817330000},"page":"345-365","source":"Crossref","is-referenced-by-count":259,"title":["A Total Variation Model for Retinex"],"prefix":"10.1137","volume":"4","author":[{"given":"Michael K.","family":"Ng","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Wei","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2011,3,22]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1364\/JOSA.61.000001"},{"key":"R2","doi-asserted-by":"crossref","unstructured":"J. J. McCann, C. Parraman, and A. Rizzi,\n                      Pixel and spatial mechanisms of color constancy\n                      , in Color Imaging XV: Displaying, Processing, Hardcopy, and Applications, Proceedings of the SPIE, Vol. 7528, 2010.","DOI":"10.1117\/12.838736"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1038\/scientificamerican1277-108"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.80.16.5163"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1016\/S0262-8856(00)00037-8"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1364\/JOSAA.22.002613"},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1117\/1.1636182"},{"key":"R8","unstructured":"J. Frankle and J. McCann,\n                      Method and Apparatus for Lightness Imaging\n                      , U.S. Patent 4384336, May 17, 1983."},{"key":"R9","doi-asserted-by":"crossref","unstructured":"J. McCann,\n                      Lessons learned from Mondrians applied to real images and color gamuts\n                      , in Proceedings of the IST\/SID 7th Color Imaging Conference, 1999, pp. 1\u20138.","DOI":"10.2352\/CIC.1999.7.1.art00001"},{"key":"R10","doi-asserted-by":"publisher","DOI":"10.1117\/1.1636761"},{"key":"R11","unstructured":"J. J. McCann and I. Sobel,\n                      Experiments with Retinex\n                      , Technical report, HPL Color Summit, Hewlett Packard Laboratories, 1998."},{"key":"R12","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.83.10.3078"},{"key":"R13","doi-asserted-by":"publisher","DOI":"10.1109\/83.557356"},{"key":"R14","doi-asserted-by":"publisher","DOI":"10.1109\/83.597272"},{"key":"R15","doi-asserted-by":"publisher","DOI":"10.1007\/s11263-009-0221-5"},{"key":"R16","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2007.891777"},{"key":"R17","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2008.86"},{"key":"R18","first-page":"69","volume":"103","author":"Bertalmio M.","year":"2009","journal-title":"J. Physiol."},{"key":"R19","doi-asserted-by":"publisher","DOI":"10.1016\/0146-664X(74)90022-7"},{"key":"R20","doi-asserted-by":"publisher","DOI":"10.1016\/0734-189X(85)90054-4"},{"key":"R21","doi-asserted-by":"crossref","unstructured":"B. Funt, M. Drew, and M. Brockington,\n                      Recovering shading from color images\n                      , in Proceedings of the 2nd European Conference on Computational Visualization, Springer, London, 1992, pp. 124\u2013132.","DOI":"10.1007\/3-540-55426-2_15"},{"key":"R22","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.1986.4767767"},{"key":"R23","doi-asserted-by":"crossref","unstructured":"J. M. Morel, A. B. Petro, and C. Sbert,\n                      Fast implementation of color constancy algorithms\n                      , in Color Imaging XIV: Displaying, Processing, Hardcopy, and Applications, Proceedings of the SPIE, Vol. 7241, 2009, 724106.","DOI":"10.1117\/12.805474"},{"key":"R24","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2010.2049239"},{"key":"R25","unstructured":"N. Limare, J. Morel, A. Petro, and C. Sbert,\n                      Retinex Poisson Equation: A Model for Color Perception\n                      , preprint, http:\/\/www.ipol.im\/pub\/algo\/lmpsretinexpoissonequation."},{"key":"R26","doi-asserted-by":"publisher","DOI":"10.1023\/A:1022314423998"},{"key":"R27","doi-asserted-by":"crossref","unstructured":"M. Elad,\n                      Retinex by two bilateral filters\n                      , in Scale Space and PDE Methods in Computer Vision, Lecture Notes in Comput. Sci. 3459, Springer, Berlin, 2005, pp. 217\u2013229.","DOI":"10.1007\/11408031_19"},{"key":"R28","unstructured":"W. Ma and S. Osher,\n                      A TV Bregman Iterative Model of Retinex Theory\n                      , UCLA CAM Report 10-13, UCLA, Los Angeles, CA, 2010."},{"key":"R29","doi-asserted-by":"publisher","DOI":"10.1137\/080725891"},{"key":"R30","unstructured":"X. Zhang and B. A. Wandell,\n                      A spatial extension of CIELAB for digital color image reproduction\n                      , in Proceedings of the SID Symposiums, 1996."}],"container-title":["SIAM Journal on Imaging Sciences"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/100806588","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T12:43:39Z","timestamp":1787316219000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/100806588"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,1]]},"references-count":30,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2011,1]]}},"alternative-id":["10.1137\/100806588"],"URL":"https:\/\/doi.org\/10.1137\/100806588","relation":{},"ISSN":["1936-4954"],"issn-type":[{"value":"1936-4954","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,1]]}}}