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Imaging Sci."],"published-print":{"date-parts":[[2019,1]]},"abstract":"<jats:p>Color image restoration is one of the important tasks in color image processing. Total variation regularizaton was proposed and employed for the recovery of edges in a grayscale image. In the literature, there are several methods for extension of total variation regularization for color images, for example, based on color channel coupling and tensor regularization. The main contribution of this paper is to propose and develop a new saturation-value (SV) color total variation regularization in the hue, saturation, amd value color space instead of in the original red, green, and blue color space. The development of this SV total variation can be studied via the representation of color images in the quaternion framework for color edge detection. We will investigate the properties of the SV total variation regularization and the resulting optimization model for color image restoration. Numerical examples are presented to demonstrate that the performance of the new SV total variation is better than that of existing color image total variation methods in terms of some criteria such as PSNR, SSIM, and S-CIELAB error.<\/jats:p>","DOI":"10.1137\/18m1230451","type":"journal-article","created":{"date-parts":[[2019,6,4]],"date-time":"2019-06-04T14:16:55Z","timestamp":1559657815000},"page":"972-1000","source":"Crossref","is-referenced-by-count":121,"title":["Color Image Restoration by Saturation-Value Total Variation"],"prefix":"10.1137","volume":"12","author":[{"given":"Zhigang","family":"Jia","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6833-5227","authenticated-orcid":true,"given":"Michael K.","family":"Ng","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Wei","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2019,6,4]]},"reference":[{"key":"atypb1","unstructured":"H. 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Hamilton,\n                      Elements of Quaternions\n                      , Longmans, Green and Co., London, 1866."},{"key":"atypb14","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2006.884955"},{"key":"atypb15","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.20045"},{"key":"atypb16","doi-asserted-by":"publisher","DOI":"10.1137\/060669358"},{"key":"atypb17","doi-asserted-by":"publisher","DOI":"10.1137\/110823766"},{"key":"atypb18","unstructured":"R. C. Gonzales and R. E. Woods,\n                      Digital Image Processing\n                      , 3rd ed., Prentice Hall, Englewood Cliffs, NJ, 2008."},{"key":"atypb19","unstructured":"Z. Jia, M. Ng, and G. Song,\n                      A Quaternion Framework for Robust Color Images Completion\n                      , preprint, 2018,http:\/\/www.math.hkbu.edu.hk\/~mng\/QMC.pdf"},{"key":"atypb20","doi-asserted-by":"crossref","unstructured":"Z. Jia, M. Ng, and G. Song,\n                      Lanczos Method for Large-Scale Quaternion Singular Value Decomposition\n                      , preprint, 2018,http:\/\/www.math.hkbu.edu.hk\/~mng\/lanczosSVDQ.pdf.","DOI":"10.1007\/s11075-018-0621-0"},{"key":"atypb21","doi-asserted-by":"publisher","DOI":"10.1023\/A:1008171026419"},{"key":"atypb22","first-page":"48","author":"Lefkimmiatis S.","year":"2013","journal-title":"Berlin"},{"key":"atypb23","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2003.819229"},{"key":"atypb24","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2004.834662"},{"key":"atypb25","first-page":"416","author":"Martin D.","year":"2001","journal-title":"Proceedings of the IEEE International Conference on Computer Vision (ICCV)"},{"key":"atypb26","first-page":"4090","author":"Ono S.","year":"2014","journal-title":"Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR)"},{"key":"atypb27","doi-asserted-by":"publisher","DOI":"10.1007\/s10851-013-0445-4"},{"key":"atypb28","first-page":"805","author":"Pei S.","year":"2003","journal-title":"Proceedings of the IEEE International Conference on Image Processing (ICIP)"},{"key":"atypb29","first-page":"1309","author":"Rodriguez P.","year":"2009","journal-title":"Proceedings of the IEEE International Conference on Image Processing (ICIP)"},{"key":"atypb30","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(92)90242-F"},{"key":"atypb31","doi-asserted-by":"publisher","DOI":"10.1049\/el:19961331"},{"key":"atypb32","doi-asserted-by":"publisher","DOI":"10.1049\/ecej:20000503"},{"key":"atypb33","doi-asserted-by":"publisher","DOI":"10.1109\/CVPR.1996.517146"},{"key":"atypb34","doi-asserted-by":"publisher","DOI":"10.1007\/s11263-010-0388-9"},{"key":"atypb35","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2003.819861"},{"key":"atypb36","first-page":"2906491","author":"Wang W.","year":"2019","journal-title":"IEEE Trans. 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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\/18M1230451","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T14:14:52Z","timestamp":1787321692000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/18M1230451"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,1]]},"references-count":39,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2019,1]]}},"alternative-id":["10.1137\/18M1230451"],"URL":"https:\/\/doi.org\/10.1137\/18m1230451","relation":{},"ISSN":["1936-4954"],"issn-type":[{"value":"1936-4954","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,1]]}}}