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In comparison with the traditional total variation (TV) regularization method, a nonconvex TV regularizer can effectively improve the fitting performance and prevent bias problems. In this work, we utilize the arctangent function as nonconvex TV regularize term (AtanTV) for MRI reconstruction. With appropriate parameters, the AtanTV model can avoid the systematic underestimation characteristic and maintain the objective function still convex. To address the AtanTV model, we propose an efficient alternating direction method of multipliers (ADMM) method to solve it. Experimental results indicate the superior performance (PSNR, RE, SSIM, etc.) of the proposed MRI reconstruction method.<\/jats:p>","DOI":"10.1155\/2022\/1758996","type":"journal-article","created":{"date-parts":[[2022,4,7]],"date-time":"2022-04-07T20:20:29Z","timestamp":1649362829000},"page":"1-15","source":"Crossref","is-referenced-by-count":3,"title":["An AtanTV Nonconvex Regularization Model for MRI Reconstruction"],"prefix":"10.1155","volume":"2022","author":[{"given":"Zhijun","family":"Luo","sequence":"first","affiliation":[{"name":"School of Electronic Engineering and Automation & Guangxi Key Laboratory of Automatic Detecting Technology and Instruments, Guilin University of Electronic Technology, Guilin 541004, China"},{"name":"School of Mathematics and Finance, Hunan University of Humanities, Science and Technology, Loudi 417000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9929-8163","authenticated-orcid":true,"given":"Zhibin","family":"Zhu","sequence":"additional","affiliation":[{"name":"School of Mathematics and Computing Science & Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology, Guilin 541004, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Benxin","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Electronic Engineering and Automation & Guangxi Key Laboratory of Automatic Detecting Technology and Instruments, Guilin University of Electronic Technology, Guilin 541004, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1038\/242190a0"},{"issue":"4","key":"2","doi-asserted-by":"crossref","first-page":"1289","DOI":"10.1109\/TIT.2006.871582","article-title":"Compressed sensing","volume":"54","author":"D. 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