{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,5]],"date-time":"2025-07-05T12:40:08Z","timestamp":1751719208617,"version":"3.41.0"},"publisher-location":"Cham","reference-count":24,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319942100"},{"type":"electronic","value":"9783319942117"}],"license":[{"start":{"date-parts":[[2018,1,1]],"date-time":"2018-01-01T00:00:00Z","timestamp":1514764800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2018,1,1]],"date-time":"2018-01-01T00:00:00Z","timestamp":1514764800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2018]]},"DOI":"10.1007\/978-3-319-94211-7_43","type":"book-chapter","created":{"date-parts":[[2018,6,29]],"date-time":"2018-06-29T07:29:59Z","timestamp":1530257399000},"page":"397-406","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Variable Exponent Nonlocal Model with\u00a0Weaker Norm in the Fidelity Term for\u00a0Image Restoration"],"prefix":"10.1007","author":[{"given":"Fahd","family":"Karami","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Driss","family":"Meskine","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Khadija","family":"Sadik","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2018,6,30]]},"reference":[{"issue":"4","key":"43_CR1","doi-asserted-by":"publisher","first-page":"874","DOI":"10.1016\/j.camwa.2008.01.017","volume":"56","author":"R Aboulaich","year":"2008","unstructured":"Aboulaich, R., Meskine, D., Souissi, A.: New diffusion models in image processing. Comput. Math. Appl. 56(4), 874\u2013882 (2008)","journal-title":"Comput. Math. Appl."},{"issue":"6","key":"43_CR2","doi-asserted-by":"publisher","first-page":"1671","DOI":"10.3934\/dcdsb.2016017","volume":"21","author":"L Afraites","year":"2016","unstructured":"Afraites, L., Atlas, A., Karami, F., Meskine, D.: Some class of parabolic systems applied to image processing. Discrete Contin. Dyn. Syst. Ser. B 21(6), 1671\u20131687 (2016)","journal-title":"Discrete Contin. Dyn. Syst. Ser. B"},{"issue":"5","key":"43_CR3","doi-asserted-by":"publisher","first-page":"1815","DOI":"10.1137\/080720991","volume":"40","author":"F. Andreu","year":"2009","unstructured":"Andreu, F., Maz\u00f3n, J. M., Rossi, J. D., Toledo, J.: A nonlocal p-Laplacian evolution equation with non homogeneous Dirichlet boundary conditions. SIAM J. Math. Anal., 40(5):1815\u20131851, 2008\/09","journal-title":"SIAM Journal on Mathematical Analysis"},{"key":"43_CR4","doi-asserted-by":"crossref","unstructured":"Bougleux, S., Elmoataz, A., Melkemi, M.: Discrete regularization on weighted graphs for image and mesh filtering. n 1st International Conference on Scale Space and Variational Methods in Computer Vision (SSVM), 4485 of Lecture Notes in Computer Science:128\u2013139, (2007)","DOI":"10.1007\/978-3-540-72823-8_12"},{"issue":"2","key":"43_CR5","doi-asserted-by":"publisher","first-page":"220","DOI":"10.1007\/s11263-008-0159-z","volume":"84","author":"S Bougleux","year":"2009","unstructured":"Bougleux, S., Elmoataz, A., Melkemi, M.: Local and nonlocal discrete regularization on weighted graphs for image and mesh processing. International Journal of Computer Vision 84(2), 220\u2013236 (2009)","journal-title":"International Journal of Computer Vision"},{"issue":"2","key":"43_CR6","doi-asserted-by":"publisher","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 algorithms, with a new one. Multiscale Model. Simul. 4(2), 490\u2013530 (2005)","journal-title":"Multiscale Model. Simul."},{"issue":"5","key":"43_CR7","doi-asserted-by":"publisher","first-page":"1817","DOI":"10.1137\/040604297","volume":"65","author":"TF Chan","year":"2005","unstructured":"Chan, T.F., Esedolu, S.: Aspects of total variation regularized $$L^1$$ function approximation. SIAM J. Appl. Math. 65(5), 1817\u20131837 (2005)","journal-title":"SIAM J. Appl. Math."},{"issue":"4","key":"43_CR8","doi-asserted-by":"publisher","first-page":"1383","DOI":"10.1137\/050624522","volume":"66","author":"Y Chen","year":"2006","unstructured":"Chen, Y., Levine, S., Rao, M.: Variable exponent, linear growth functionals in image restora- tion. SIAM J. Appl. Math. 66(4), 1383\u20131406 (2006)","journal-title":"SIAM J. Appl. Math."},{"issue":"8","key":"43_CR9","doi-asserted-by":"publisher","first-page":"2080","DOI":"10.1109\/TIP.2007.901238","volume":"16","author":"K Dabov","year":"2007","unstructured":"Dabov, K., Foi, A., Katkovnik, V., Egiazarian, K.: Image denoising by sparse 3-D transform- domain collaborative filtering. IEEE Trans. Image Process. 16(8), 2080\u20132095 (2007)","journal-title":"IEEE Trans. Image Process."},{"issue":"7","key":"43_CR10","doi-asserted-by":"publisher","first-page":"1047","DOI":"10.1109\/TIP.2008.924284","volume":"17","author":"A Elmoataz","year":"2008","unstructured":"Elmoataz, A., Lezoray, O., Bougleux, S.: Nonlocal discrete regularization on weighted graphs: a framework for image and manifold processing. IEEE Trans. Image Process. 17(7), 1047\u20131060 (2008)","journal-title":"IEEE Trans. Image Process."},{"key":"43_CR11","doi-asserted-by":"publisher","first-page":"764","DOI":"10.1109\/JSTSP.2012.2216504","volume":"6","author":"A Elmoataz","year":"2012","unstructured":"Elmoataz, A., Xavier, D.: Lezoray, O: Non-local morphological pdes and p-laplacian equation on graphs with applications in image processing and machine learning. IEEE Journal of Selected Topics in Signal Processing 6, 764\u2013779 (2012)","journal-title":"IEEE Journal of Selected Topics in Signal Processing"},{"key":"43_CR12","doi-asserted-by":"publisher","first-page":"153","DOI":"10.1016\/j.matcom.2014.01.007","volume":"102","author":"A Elmoataz","year":"2014","unstructured":"Elmoataz, A., Xavier, D., Zakaria, L., Olivier, L.: Nonlocal infinity Laplacian equation on graphs with applications in image processing and machine learning. Math. Comput. Simulation 102, 153\u2013163 (2014)","journal-title":"Math. Comput. Simulation"},{"issue":"2","key":"43_CR13","doi-asserted-by":"publisher","first-page":"595","DOI":"10.1137\/060669358","volume":"6","author":"G Gilboa","year":"2007","unstructured":"Gilboa, G., Osher, S.: Nonlocal linear image regularization and supervised segmentation. Multiscale Model. Simul. 6(2), 595\u2013630 (2007)","journal-title":"Multiscale Model. Simul."},{"issue":"3","key":"43_CR14","doi-asserted-by":"publisher","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."},{"issue":"5","key":"43_CR15","doi-asserted-by":"publisher","first-page":"2904","DOI":"10.1016\/j.nonrwa.2011.04.015","volume":"12","author":"Z Guo","year":"2011","unstructured":"Guo, Z., Liu, Q., Sun, J., Wu, B.: Reaction-diffusion systems with $$p(x)$$-growth for image denoising. Nonlinear Anal. Real World Appl. 12(5), 2904\u20132918 (2011)","journal-title":"Nonlinear Anal. Real World Appl."},{"issue":"5\u20136","key":"43_CR16","doi-asserted-by":"publisher","first-page":"1336","DOI":"10.1016\/j.mcm.2010.12.031","volume":"53","author":"Z Guo","year":"2011","unstructured":"Guo, Z., Yin, J., Liu, Q.: On a reaction-diffusion system applied to image decomposition and restoration. Math. Comput. Modelling 53(5\u20136), 1336\u20131350 (2011)","journal-title":"Math. Comput. Modelling"},{"key":"43_CR17","doi-asserted-by":"publisher","first-page":"534","DOI":"10.1016\/j.camwa.2017.09.034","volume":"75","author":"F Karami","year":"2018","unstructured":"Karami, F., Sadik, K., Ziad, L.: A variable exponent nonlocal p(x)-laplacian equation for image restoration. Computers and Mathematics with Applications 75, 534\u2013546 (2018)","journal-title":"Computers and Mathematics with Applications"},{"issue":"4","key":"43_CR18","doi-asserted-by":"publisher","first-page":"1091","DOI":"10.1137\/050622249","volume":"4","author":"S Kindermann","year":"2005","unstructured":"Kindermann, S., Osher, S., Jones, P.W.: Deblurring and denoising of images by nonlocal functionals. Multiscale Model. Simul. 4(4), 1091\u20131115 (2005)","journal-title":"Multiscale Model. Simul."},{"key":"43_CR19","doi-asserted-by":"crossref","unstructured":"Meyer, Y.: Oscillating patterns in image processing and nonlinear evolution equations, volume 22 of University Lecture Series. American Mathematical Society, Providence, RI, 2001. The fifteenth Dean Jacqueline B. Lewis memorial lectures","DOI":"10.1090\/ulect\/022"},{"issue":"3","key":"43_CR20","doi-asserted-by":"publisher","first-page":"965","DOI":"10.1137\/S0036142901389165","volume":"40","author":"M Nikolova","year":"2002","unstructured":"Nikolova, M.: Minimizers of cost-functions involving nonsmooth data-fidelity terms. Application to the processing of outliers. SIAM J. Numer. Anal. 40(3), 965\u2013994 (2002)","journal-title":"SIAM J. Numer. Anal."},{"issue":"3","key":"43_CR21","doi-asserted-by":"publisher","first-page":"349","DOI":"10.1137\/S1540345902416247","volume":"1","author":"S Osher","year":"2003","unstructured":"Osher, S., Sol\u00e9, A., Vese, L.: Image decomposition and restoration using total variation minimization and the $$H^{-1}$$ norm. Multiscale Model. Simul. 1(3), 349\u2013370 (2003)","journal-title":"Multiscale Model. Simul."},{"key":"43_CR22","doi-asserted-by":"crossref","unstructured":"Vese, L. A., Osher, S. J.: Modeling textures with total variation minimization and oscillating patterns in image processing. J. Sci. Comput., 19(1\u20133):553\u2013572, 2003. Special issue in honor of the sixtieth birthday of Stanley Osher","DOI":"10.1023\/A:1025384832106"},{"key":"43_CR23","first-page":"1","volume-title":"Springer Series in Information Sciences","author":"Leonid P. Yaroslavsky","year":"1985","unstructured":"Yaroslavsky, L. P.: Digital picture processing, volume 9 of Springer Series in Information Sciences. Springer-Verlag, Berlin, 1985. An introduction"},{"key":"43_CR24","first-page":"361","volume-title":"Lecture Notes in Computer Science","author":"Dengyong Zhou","year":"2005","unstructured":"Zhou, D., Schlkopf, B: Regularization on discrete spaces, in pattern recognition. Proceedings of the 27th DAGM Symposium, Berlin, Germany, pages 361\u2013369, (2005)"}],"container-title":["Lecture Notes in Computer Science","Image and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-94211-7_43","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,5]],"date-time":"2025-07-05T12:19:50Z","timestamp":1751717990000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-319-94211-7_43"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018]]},"ISBN":["9783319942100","9783319942117"],"references-count":24,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-94211-7_43","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2018]]},"assertion":[{"value":"30 June 2018","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"ICISP","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Image and Signal Processing","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Cherbourg","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"France","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2018","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2 July 2018","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"4 July 2018","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"8","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"icisp2018","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"http:\/\/www.icisp-conf.org\/index.php.html","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Single-blind","order":1,"name":"type","label":"Type","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"EasyChair","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"122","order":3,"name":"number_of_submissions_sent_for_review","label":"Number of Submissions Sent for Review","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"58","order":4,"name":"number_of_full_papers_accepted","label":"Number of Full Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"0","order":5,"name":"number_of_short_papers_accepted","label":"Number of Short Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"48% - The value is computed by the equation \"Number of Full Papers Accepted \/ Number of Submissions Sent for Review * 100\" and then rounded to a whole number.","order":6,"name":"acceptance_rate_of_full_papers","label":"Acceptance Rate of Full Papers","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"2.2","order":7,"name":"average_number_of_reviews_per_paper","label":"Average Number of Reviews per Paper","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"1.88","order":8,"name":"average_number_of_papers_per_reviewer","label":"Average Number of Papers per Reviewer","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"No","order":9,"name":"external_reviewers_involved","label":"External Reviewers Involved","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"This content has been made available to all.","name":"free","label":"Free to read"}]}}