{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,25]],"date-time":"2025-12-25T15:27:26Z","timestamp":1766676446136,"version":"3.48.0"},"reference-count":48,"publisher":"Springer Science and Business Media LLC","issue":"41","license":[{"start":{"date-parts":[[2025,9,15]],"date-time":"2025-09-15T00:00:00Z","timestamp":1757894400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,9,15]],"date-time":"2025-09-15T00:00:00Z","timestamp":1757894400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100018594","name":"Central University Basic Research Fund of China","doi-asserted-by":"publisher","award":["B230201057"],"award-info":[{"award-number":["B230201057"]}],"id":[{"id":"10.13039\/501100018594","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Multimed Tools Appl"],"DOI":"10.1007\/s11042-025-21124-2","type":"journal-article","created":{"date-parts":[[2025,9,15]],"date-time":"2025-09-15T10:29:26Z","timestamp":1757932166000},"page":"49929-49971","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Depth map estimation and single image de-hazing via Gaussian curvature prior"],"prefix":"10.1007","volume":"84","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1693-0862","authenticated-orcid":false,"given":"Asmat","family":"Ullah","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"HongGuang","family":"Sun","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Muhammad","family":"Arif","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2025,9,15]]},"reference":[{"key":"21124_CR1","unstructured":"Zhang YL (2015) An image-enhanced de-hazing method and its implementation. Electron World 21"},{"key":"21124_CR2","first-page":"30","volume":"7","author":"LC Yang","year":"2015","unstructured":"Yang LC, Li B, Fan C, Jia CQ (2015) Realization of fast foggy algorithm based on image enhancement. Electr Technol 7:30\u201332","journal-title":"Electr Technol"},{"key":"21124_CR3","first-page":"306","volume":"1","author":"Y Li","year":"2015","unstructured":"Li Y, Zhang FY, Zhang Q, Geng HA, Chen J (2015) Infrared image contrast enhancement based on de-hazing model. Chin Laser 1:306\u2013314","journal-title":"Chin Laser"},{"key":"21124_CR4","first-page":"221","volume":"2","author":"D Wu","year":"2015","unstructured":"Wu D, Zhu SQ (2015) The latest research progress of image fogging. J Autom 2:221\u2013239","journal-title":"J Autom"},{"issue":"6\u20138","key":"21124_CR5","doi-asserted-by":"publisher","first-page":"713","DOI":"10.1007\/s00371-012-0679-y","volume":"28","author":"C Xiao","year":"2012","unstructured":"Xiao C, Gan J (2012) Fast image de-hazing using guided joint bilateral filter. Vis Comput 28(6\u20138):713\u2013721","journal-title":"Vis Comput"},{"key":"21124_CR6","unstructured":"Wang Y, Wu B (2010) Improved single image de-hazing using dark channel prior. IEEE International Conference on Intelligent Computing and Intelligent Systems (ICIS)"},{"key":"21124_CR7","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-49373-1","volume-title":"3D Reconstruction and dehazing with polarization vision[M] multi-band polarization imaging and applications","author":"Y Zhao","year":"2016","unstructured":"Zhao Y, Yi C, Kong SG, Pan Q, Cheng Y (2016) 3D Reconstruction and dehazing with polarization vision[M] multi-band polarization imaging and applications. Springer, Berlin Heidelberg"},{"key":"21124_CR8","doi-asserted-by":"publisher","first-page":"12","DOI":"10.1016\/j.procs.2015.01.042","volume":"46","author":"S Ansia","year":"2015","unstructured":"Ansia S, Aswathay AL (2015) Single image haze removal using white balancing and saliency map. Procedia Comput Sci 46:12\u201319","journal-title":"Procedia Comput Sci"},{"key":"21124_CR9","doi-asserted-by":"publisher","first-page":"62","DOI":"10.1016\/j.ecoinf.2013.08.005","volume":"23","author":"N Graves","year":"2014","unstructured":"Graves N, Newsam S (2014) Camera-based visibility estimation: incorporating multiple regions and unlabeled observations. Eco Inform 23:62\u201368","journal-title":"Eco Inform"},{"issue":"12","key":"21124_CR10","first-page":"2341","volume":"33","author":"K He","year":"2010","unstructured":"He K, Sun J, Tang X (2010) Single image haze removal using dark channel prior. IEEE Trans Pattern Anal Mach Intell 33(12):2341\u20132353","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"key":"21124_CR11","doi-asserted-by":"crossref","unstructured":"Berman D, Avidan S (2016) Non-local image dehazing. CVPR","DOI":"10.1109\/CVPR.2016.185"},{"issue":"11","key":"21124_CR12","doi-asserted-by":"publisher","first-page":"5187","DOI":"10.1109\/TIP.2016.2598681","volume":"25","author":"B Cai","year":"2016","unstructured":"Cai B, Xu X, Jia K, Qing C, Tao D (2016) Dehazenet: an end-to-end system for single image haze removal. IEEE Trans Image Process 25(11):5187\u20135198","journal-title":"IEEE Trans Image Process"},{"key":"21124_CR13","doi-asserted-by":"crossref","unstructured":"Ren W, Liu S, Zhang H, Pan J, Cao X, Yang HM (2016) Single image dehazing via multi-scale convolutional neural networks. In ECCV Springer, pp 154\u2013169","DOI":"10.1007\/978-3-319-46475-6_10"},{"key":"21124_CR14","unstructured":"Li B, Peng X, Wang Z, Xu J, Fang D (2017) An all-inone network for dehazing and beyond. In ICCV"},{"key":"21124_CR15","doi-asserted-by":"crossref","unstructured":"Schechner YY, Narasimhan SG, Nayar SK (2001) Instant dehazing of images using polarization. CVPR, pp 1","DOI":"10.1109\/CVPR.2001.990493"},{"key":"21124_CR16","first-page":"1984","volume":"2","author":"S Shwartz","year":"2006","unstructured":"Shwartz S, Namer E, Schechner YY (2006) Blind haze separation. CVPR 2:1984\u20131991","journal-title":"CVPR"},{"key":"21124_CR17","doi-asserted-by":"crossref","unstructured":"Narasimhan SG, Nayar SK (2000) Chromatic framework for vision in bad weather. CVPR. pp 598\u2013605","DOI":"10.1109\/CVPR.2000.855874"},{"key":"21124_CR18","doi-asserted-by":"publisher","first-page":"713","DOI":"10.1109\/TPAMI.2003.1201821","volume":"25","author":"SG Narasimhan","year":"2003","unstructured":"Narasimhan SG, Nayar SK (2003) Contrast restoration of weather degraded images. PAMI 25:713\u2013724","journal-title":"PAMI"},{"key":"21124_CR19","doi-asserted-by":"crossref","unstructured":"Nayar SK, and Narasimhan SG (1999) Vision in bad weather. ICCV","DOI":"10.1109\/ICCV.1999.790306"},{"key":"21124_CR20","unstructured":"Narasimhan SG, Nayar SK (2003) Interactive deweathering of an image using physical models. In: Workshop on color and photometric methods in computer vision"},{"key":"21124_CR21","first-page":"1","volume-title":"Proc","author":"RT Tan","year":"2008","unstructured":"Tan RT (2008) Visibility in bad weather from a single image. Proc. IEEE Conf. Comput. Vis. Pattern Recognit, AK, USA, pp 1\u20138"},{"issue":"1","key":"21124_CR22","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1145\/2601097.2601121","volume":"34","author":"RT Tan","year":"2014","unstructured":"Tan RT (2014) Dehazing using color-lines. ACM Trans Graph 34(1):1\u201314","journal-title":"ACM Trans Graph"},{"key":"21124_CR23","doi-asserted-by":"crossref","unstructured":"Kratz L, Nishino K (2009) Factorizing scene albedo and depth from a single foggy image. In Proc. IEEE Int. Conf. Comput. Vis. pp 1701\u20131708","DOI":"10.1109\/ICCV.2009.5459382"},{"issue":"3","key":"21124_CR24","doi-asserted-by":"publisher","first-page":"263","DOI":"10.1007\/s11263-011-0508-1","volume":"98","author":"K Nishino","year":"2012","unstructured":"Nishino K, Kratz L, Lombardi S (2012) Bayesian defogging. Int J Comput Vis 98(3):263\u2013278","journal-title":"Int J Comput Vis"},{"issue":"2","key":"21124_CR25","doi-asserted-by":"publisher","first-page":"143","DOI":"10.3724\/SP.J.1004.2011.00143","volume":"37","author":"J Yu","year":"2011","unstructured":"Yu J, Li D, Liao Q (2011) Physics-based fast single image fog removal. Acta Autom Sinica 37(2):143\u2013149","journal-title":"Acta Autom Sinica"},{"issue":"2","key":"21124_CR26","doi-asserted-by":"publisher","first-page":"662","DOI":"10.1109\/TIP.2011.2166968","volume":"21","author":"KB Gibson","year":"2012","unstructured":"Gibson KB, Vo DT, Nguyen TQ (2012) An investigation of dehazing effects on image and video coding. IEEE Trans Image Process 21(2):662\u2013673","journal-title":"IEEE Trans Image Process"},{"issue":"9","key":"21124_CR27","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s11432-012-4566-y","volume":"56","author":"M Ding","year":"2013","unstructured":"Ding M, Tong R (2013) Efficient dark channel based image dehazing using quadtrees. Sci China Inf Sci 56(9):1\u20139","journal-title":"Sci China Inf Sci"},{"issue":"8","key":"21124_CR28","doi-asserted-by":"publisher","first-page":"1369","DOI":"10.1109\/TCSVT.2013.2243650","volume":"23","author":"YH Shiau","year":"2013","unstructured":"Shiau YH, Yang HY, Chen PY, Chuang YZ (2013) Hardware implementation of a fast and efficient haze removal method. IEEE Trans Circuits Syst Video Technol 23(8):1369\u20131374","journal-title":"IEEE Trans Circuits Syst Video Technol"},{"issue":"6","key":"21124_CR29","doi-asserted-by":"publisher","first-page":"1397","DOI":"10.1109\/TPAMI.2012.213","volume":"35","author":"K He","year":"2013","unstructured":"He K, Sun J, Tang X (2013) Guided image filtering. IEEE Trans Pattern Anal Mach Intell 35(6):1397\u20131409","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"key":"21124_CR30","doi-asserted-by":"crossref","unstructured":"Tarel JP, Hautiere N (2009) Fast visibility restoration from a single color or gray level image. Proc. IEEE Int. Conf. Comput. Vis. Kyoto, Japan, pp 2201\u20132208","DOI":"10.1109\/ICCV.2009.5459251"},{"issue":"3","key":"21124_CR31","doi-asserted-by":"publisher","first-page":"410","DOI":"10.1016\/j.jvcir.2013.02.004","volume":"24","author":"JH Kim","year":"2013","unstructured":"Kim JH, Jang WD, Sim JY, Kim CS (2013) Optimized contrast enhancement for real-time image and video dehazing. J Visual Commun Image Represent 24(3):410\u2013425","journal-title":"J Visual Commun Image Represent"},{"key":"21124_CR32","doi-asserted-by":"crossref","unstructured":"Meng G, Wang Y, Duan J, Xiang S, Pan C (2013) Efficient image dehazing with boundary constraint and contextual regularization. Proc. IEEE Int. Conf. Comput. Vis, Sydney, Australia, pp 617\u2013624","DOI":"10.1109\/ICCV.2013.82"},{"issue":"8","key":"21124_CR33","doi-asserted-by":"publisher","first-page":"3271","DOI":"10.1109\/TIP.2013.2262284","volume":"22","author":"CO Ancuti","year":"2013","unstructured":"Ancuti CO, Ancuti C (2013) Single image dehazing by multi-scale fusion. IEEE Trans Image Process 22(8):3271\u20133282","journal-title":"IEEE Trans Image Process"},{"key":"21124_CR34","first-page":"1257","volume":"173","author":"Z Ma","year":"2016","unstructured":"Ma Z, Wen J, Zhang C, Liu Q, Yan D (2016) An effective fusion defogging approach for single sea fog image. Neuro Comput 173:1257\u20131267","journal-title":"Neuro Comput"},{"issue":"11","key":"21124_CR35","doi-asserted-by":"publisher","first-page":"3522","DOI":"10.1109\/TIP.2015.2446191","volume":"24","author":"Q Zhu","year":"2015","unstructured":"Zhu Q, Mai J, Shao L (2015) A fast single image haze removal algorithm using color attenuation prior. IEEE Trans Image Process 24(11):3522\u20133533","journal-title":"IEEE Trans Image Process"},{"key":"21124_CR36","doi-asserted-by":"crossref","unstructured":"Wang W, Yuan X, Wu X, Liu Y, Ghanbarzadeh S (2016) An efficient method for image dehazing. Proc. IEEE Int. Conf. Image Process, Phoenix, AZ, USA, pp 2241\u20132245","DOI":"10.1109\/ICIP.2016.7532757"},{"key":"21124_CR37","doi-asserted-by":"publisher","unstructured":"Wang W, Yuan X, Wu X, Liu Y (2017) Fast image dehazing method based on linear transformation. IEEE Trans Multimed pp 1\u201313. https:\/\/doi.org\/10.1109\/TMM.2017.2652069","DOI":"10.1109\/TMM.2017.2652069"},{"key":"21124_CR38","doi-asserted-by":"crossref","unstructured":"Kopf J, Neubert B, Chen B, Cohen M, Cohen-Or D, Deussen O, Uyttendaele M, Lischinski D (2008) Deep photo: model-based photograph enhancement and viewing. SIGGRAPH Asia","DOI":"10.1145\/1457515.1409069"},{"key":"21124_CR39","doi-asserted-by":"publisher","first-page":"4832","DOI":"10.1109\/TIP.2020.2975909","volume":"29","author":"SC Raikwar","year":"2020","unstructured":"Raikwar SC, Tapaswi S (2020) Lower bound on transmission using non-Linear bounding function in single image dehazing. IEEE Trans Image Process 29:4832\u20134847. https:\/\/doi.org\/10.1109\/TIP.2020.2975909","journal-title":"IEEE Trans Image Process"},{"issue":"3","key":"21124_CR40","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1145\/1360612.1360671","volume":"27","author":"R Fattal","year":"2008","unstructured":"Fattal R (2008) Single image dehazing. ACM Trans Graph 27(3):1\u20139","journal-title":"ACM Trans Graph"},{"key":"21124_CR41","doi-asserted-by":"publisher","DOI":"10.1109\/ICASSP.2018.8462394","author":"W Liu","year":"2018","unstructured":"Liu W, Xiong S, Wu H (2018) A second-order variational framework for joint depth map estimation and image dehazing. ICASSP. https:\/\/doi.org\/10.1109\/ICASSP.2018.8462394","journal-title":"ICASSP"},{"key":"21124_CR42","volume-title":"Theorie der horizontalen Sichtweite","author":"H Koschmieder","year":"1924","unstructured":"Koschmieder H (1924) Theorie der horizontalen Sichtweite. Beitr-lage zur Physik der freien Atmosph-l are, Keim and Nemnich, Frankfurt, Germany"},{"issue":"6","key":"21124_CR43","first-page":"829","volume":"7","author":"WH Cho","year":"2013","unstructured":"Cho WH, Seop IN, Seo SC, Kim SK, Park SY (2013) Single image de-fogging method using variational approach for edge-preserving regularization. WASET 7(6):829\u2013833","journal-title":"WASET"},{"key":"21124_CR44","doi-asserted-by":"publisher","unstructured":"Patrascu A, Necoara1 I, Tran-Dinh Q (2016) Adaptive inexact fast augmented Lagrangian methods for constrained convex optimization. Optim Letter, Springer, pp 01\u201318. https:\/\/doi.org\/10.1007\/s11590-016-1024-6","DOI":"10.1007\/s11590-016-1024-6"},{"key":"21124_CR45","doi-asserted-by":"publisher","unstructured":"Birgin EG, Mart\u00ednez JM (2020) Complexity and performance of an Augmented Lagrangian algorithm. Opt Methods Softw pp 01\u201337. https:\/\/doi.org\/10.1080\/10556788.2020.1746962","DOI":"10.1080\/10556788.2020.1746962"},{"key":"21124_CR46","doi-asserted-by":"publisher","first-page":"01","DOI":"10.1177\/1748302620973534","volume":"14","author":"N Chumchob","year":"2020","unstructured":"Chumchob N, Chen K (2020) An augmented Lagrangian method for solving total variation (TV)-based image registration model. J Alg Comput Technol 14:01\u201316. https:\/\/doi.org\/10.1177\/1748302620973534","journal-title":"J Alg Comput Technol"},{"issue":"1","key":"21124_CR47","first-page":"763","volume":"45","author":"N Badshah","year":"2023","unstructured":"Badshah N, Arif M, Khan TA, Ullah A, Rabbani H, Atta H, Begum N (2023) A new fractional-order variational approach for joint de-hazing and segmentation of images. J Intell Fuzz Syst 45(1):763\u2013781","journal-title":"J Intell Fuzz Syst"},{"issue":"7","key":"21124_CR48","first-page":"3688","volume":"44","author":"Y Liu","year":"2023","unstructured":"Liu Y, Zhang D, Zhang Q, Han J (2023) Part-object relational visual saliency. IEEE Trans Pattern Anal Mach Intell 44(7):3688\u20133704","journal-title":"IEEE Trans Pattern Anal Mach Intell"}],"container-title":["Multimedia Tools and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11042-025-21124-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11042-025-21124-2","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11042-025-21124-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,12,25]],"date-time":"2025-12-25T15:23:24Z","timestamp":1766676204000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11042-025-21124-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,9,15]]},"references-count":48,"journal-issue":{"issue":"41","published-online":{"date-parts":[[2025,12]]}},"alternative-id":["21124"],"URL":"https:\/\/doi.org\/10.1007\/s11042-025-21124-2","relation":{},"ISSN":["1573-7721"],"issn-type":[{"type":"electronic","value":"1573-7721"}],"subject":[],"published":{"date-parts":[[2025,9,15]]},"assertion":[{"value":"8 November 2024","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"9 June 2025","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"19 August 2025","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 September 2025","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declared that they have no conflicts of interest to this work.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflicts of Interest"}}]}}