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This transmission map can reduce significantly the edge artifacts and enhance estimation precision in the resulting image. The transmission map is then changed over to the high-quality depth map, with which the new fractional-order variational model can be framed to look for the haze free segmenting image for both grey and color outdoor images. An explicit gradient descent scheme is employed to find efficiently the minimizer of the proposed energy functional. Experimental tests on real world scenes show that the proposed method can jointly de-haze and segment hazy or foggy images effectively and efficiently.<\/jats:p>","DOI":"10.3233\/jifs-230385","type":"journal-article","created":{"date-parts":[[2023,5,5]],"date-time":"2023-05-05T12:16:53Z","timestamp":1683289013000},"page":"763-781","source":"Crossref","is-referenced-by-count":0,"title":["A new fractional-order variational approach for joint de-hazing and segmentation of images"],"prefix":"10.1177","volume":"45","author":[{"given":"Noor","family":"Badshah","sequence":"first","affiliation":[{"name":"Department of Basic Sciences and Islamiat, University of Engineering and Technology, Peshawar, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Muhammad","family":"Arif","sequence":"additional","affiliation":[{"name":"Department of Basic Sciences and Islamiat, University of Engineering and Technology, Peshawar, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tufail Ahmad","family":"Khan","sequence":"additional","affiliation":[{"name":"Department of Basic Sciences and Islamiat, University of Engineering and Technology, Peshawar, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Asmat","family":"Ullah","sequence":"additional","affiliation":[{"name":"Department of Basic Sciences and Islamiat, University of Engineering and Technology, Peshawar, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hena","family":"Rabbani","sequence":"additional","affiliation":[{"name":"Department of Basic Sciences and Islamiat, University of Engineering and Technology, Peshawar, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hadia","family":"Atta","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Islamia College Peshawar, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nasra","family":"Begum","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Shaheed Benazir Bhutto Women University Peshawar, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","reference":[{"issue":"2","key":"10.3233\/JIFS-230385_ref1","doi-asserted-by":"publisher","first-page":"969","DOI":"10.1137\/130919696","article-title":"Single image de-hazing and denoising: afast variational approach","volume":"7","author":"Fang","year":"2014","journal-title":"SIAM J Imaging Sciences"},{"key":"10.3233\/JIFS-230385_ref3","doi-asserted-by":"publisher","DOI":"10.1109\/CISP.2009.5301485"},{"issue":"8","key":"10.3233\/JIFS-230385_ref4","doi-asserted-by":"publisher","first-page":"3271","DOI":"10.1109\/TIP.2013.2262284","article-title":"Single image dehazing by multiscalefusion","volume":"22","author":"Ancuti","year":"2013","journal-title":"IEEE Trans Image Process"},{"key":"10.3233\/JIFS-230385_ref5","doi-asserted-by":"publisher","DOI":"10.1109\/CVPR.2008.4587643"},{"issue":"3","key":"10.3233\/JIFS-230385_ref6","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1145\/1360612.1360671","article-title":"Single Image Dehazing","volume":"27","author":"Fattal","year":"2008","journal-title":"ACM transactions on graphics(TOG)"},{"key":"10.3233\/JIFS-230385_ref7","doi-asserted-by":"publisher","DOI":"10.1109\/ICCV.2009.5459251"},{"issue":"12","key":"10.3233\/JIFS-230385_ref8","doi-asserted-by":"publisher","first-page":"2341","DOI":"10.1109\/TPAMI.2010.168","article-title":"Single image haze removal using darkchannel prior","volume":"33","author":"He","year":"2011","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"issue":"6","key":"10.3233\/JIFS-230385_ref9","doi-asserted-by":"publisher","first-page":"829","DOI":"10.5281\/zenodo.1076846","article-title":"Single imagede-fogging method using variational approach for edge-preservingregularization, World cademy of Science, Engineering and Technology","volume":"7","author":"Cho","year":"2013","journal-title":"International Journal of Computer, Electrical, Automation,Control and Information Engineering"},{"key":"10.3233\/JIFS-230385_ref10","first-page":"1","article-title":"Haze image enhancement based on space fractionalorder partial differential equation","volume":"10420N","author":"Xue","year":"2017","journal-title":"Ninth InternationalConference on Digital Image Processing (ICDIP)"},{"key":"10.3233\/JIFS-230385_ref11","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1023\/A:1016328200723","article-title":"Vision and the Atmosphere","volume":"48","author":"Narasimhan","year":"2002","journal-title":"Int\u2019l J. 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