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Due to the influence of complex environments, there are risks of insufficient detail and low contrast in some images. Existing enhancement algorithms are prone to overexposure and improper detail processing. This paper attempts to improve the treatment effect of Phase Stretch Transform (PST) on the information of low and medium frequencies. For this purpose, an image enhancement algorithm on the basis of fractional\u2010order PST and relative total variation (FOPSTRTV) is developed to address the task. In this algorithm, the noise in the original image is removed by low\u2010pass filtering, the edges of images are extracted by fractional\u2010order PST, and then the images are fused with extracted edges through RTV. Finally, extensive experiments were used to verify the effect of the proposed algorithm with different datasets.<\/jats:p>","DOI":"10.1155\/2021\/8818331","type":"journal-article","created":{"date-parts":[[2021,1,16]],"date-time":"2021-01-16T01:20:05Z","timestamp":1610760005000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["An Image Enhancement Algorithm Based on Fractional\u2010Order Phase Stretch Transform and Relative Total Variation"],"prefix":"10.1155","volume":"2021","author":[{"given":"Wei","family":"Wang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ying","family":"Jia","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7014-8989","authenticated-orcid":false,"given":"Qiming","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Pengfei","family":"Xu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2021,1,15]]},"reference":[{"key":"e_1_2_8_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2016.02.016"},{"key":"e_1_2_8_2_2","doi-asserted-by":"publisher","DOI":"10.1109\/lgrs.2009.2034873"},{"key":"e_1_2_8_3_2","doi-asserted-by":"publisher","DOI":"10.1049\/el.2015.3613"},{"key":"e_1_2_8_4_2","doi-asserted-by":"publisher","DOI":"10.1155\/2015\/687819"},{"key":"e_1_2_8_5_2","doi-asserted-by":"publisher","DOI":"10.1109\/access.2017.2779107"},{"key":"e_1_2_8_6_2","unstructured":"http:\/\/www.ieee.org\/publications_standards\/publications\/rights\/index.html."},{"key":"e_1_2_8_7_2","doi-asserted-by":"publisher","DOI":"10.1109\/LSP.2014.2319586"},{"key":"e_1_2_8_8_2","doi-asserted-by":"publisher","DOI":"10.1364\/boe.7.004198"},{"key":"e_1_2_8_9_2","doi-asserted-by":"publisher","DOI":"10.1364\/ao.52.006735"},{"key":"e_1_2_8_10_2","doi-asserted-by":"publisher","DOI":"10.1145\/2366145.2366158"},{"key":"e_1_2_8_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijleo.2013.10.111"},{"key":"e_1_2_8_12_2","doi-asserted-by":"publisher","DOI":"10.1118\/1.1581411"},{"key":"e_1_2_8_13_2","first-page":"436","article-title":"A novel 3D multi-scale lineness filter for vessel detection","author":"Bennink H. 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