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However, real\u2010world color image noise exhibits more complicated distribution properties, making it challenging to develop an accurate model. Consequently, denoising methods designed for AWGN often fail to achieve satisfactory performance on real\u2010world images. In this paper, we present a novel multi\u2010channel optimization model for real\u2010world color images denoising within the multi\u2010weighted Schatten <jats:italic>p<\/jats:italic>\u2010norm minimization. Our proposed model utilizes the weighted Schatten <jats:italic>p<\/jats:italic>\u2010norm as the regularization term, while the data fidelity term employs two weight matrices to balance the noise level across channels and regions. Besides, it helps to preserve as much detail as possible in the recovered image while removing noise. Although our proposed model is nonconvex and has no analytical solution, an accurate and efficient optimization algorithm is established based on the alternating direction method of multipliers (ADMMs) framework. Finally, we demonstrate the superior performance of our proposed method over existing state\u2010of\u2010the\u2010art models on three real image datasets.<\/jats:p>","DOI":"10.1155\/2023\/8813500","type":"journal-article","created":{"date-parts":[[2023,9,25]],"date-time":"2023-09-25T22:14:57Z","timestamp":1695680097000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Nonconvex Regularization with Multi\u2010Weighted Strategy for Real Color Image Denoising"],"prefix":"10.1155","volume":"2023","author":[{"given":"Ying","family":"Shi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tianyu","family":"Liu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dong","family":"Hu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chuan","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2167-830X","authenticated-orcid":false,"given":"Zhi","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2023,9,25]]},"reference":[{"key":"e_1_2_9_1_2","first-page":"53","article-title":"Image acquisition and quality in digital radiography","volume":"88","author":"Alexander S.","year":"2016","journal-title":"Radiologic Technology"},{"key":"e_1_2_9_2_2","doi-asserted-by":"publisher","DOI":"10.1109\/tip.2015.2475625"},{"key":"e_1_2_9_3_2","unstructured":"WangF. 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