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The proposed optimization method is applied to find the threshold values in melanoma skin cancer images. The proposed algorithm is implemented on PH2, ISBI2016 challenge, and ISBI 2017 challenge datasets for melanoma segmentation. The results show that the proposed algorithm exhibits high accuracy, sensitivity, and specificity compared with other methods.<\/jats:p>","DOI":"10.1155\/2020\/5345923","type":"journal-article","created":{"date-parts":[[2020,4,14]],"date-time":"2020-04-14T23:32:00Z","timestamp":1586907120000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":21,"title":["New Auxiliary Function with Properties in Nonsmooth Global Optimization for Melanoma Skin Cancer Segmentation"],"prefix":"10.1155","volume":"2020","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6272-8318","authenticated-orcid":false,"given":"Idris A.","family":"Masoud Abdulhamid","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4945-2476","authenticated-orcid":false,"given":"Ahmet","family":"Sahiner","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5418-9601","authenticated-orcid":false,"given":"Javad","family":"Rahebi","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2020,4,14]]},"reference":[{"key":"e_1_2_11_1_2","volume-title":"Melanoma Treatment (PDQ): Health Professional Version","author":"Intraocular B.","year":"2015"},{"key":"e_1_2_11_2_2","doi-asserted-by":"publisher","DOI":"10.1147\/jrd.2017.2708299"},{"key":"e_1_2_11_3_2","doi-asserted-by":"crossref","unstructured":"TajeddinN. 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