{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,10]],"date-time":"2026-04-10T02:35:05Z","timestamp":1775788505330,"version":"3.50.1"},"reference-count":29,"publisher":"Springer Science and Business Media LLC","issue":"13","license":[{"start":{"date-parts":[[2025,9,16]],"date-time":"2025-09-16T00:00:00Z","timestamp":1757980800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,9,16]],"date-time":"2025-09-16T00:00:00Z","timestamp":1757980800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"name":"General Project of Chongqing Natural Science Foundation","award":["cstc2021jcyj-msxmX0679"],"award-info":[{"award-number":["cstc2021jcyj-msxmX0679"]}]},{"DOI":"10.13039\/501100005230","name":"Natural Science Foundation of Chongqing","doi-asserted-by":"crossref","award":["CSTB2022NSCQ-MSX0610"],"award-info":[{"award-number":["CSTB2022NSCQ-MSX0610"]}],"id":[{"id":"10.13039\/501100005230","id-type":"DOI","asserted-by":"crossref"}]},{"name":"Scientific Research Foundation of Chongqing Technology and Business University","award":["2056023"],"award-info":[{"award-number":["2056023"]}]},{"name":"Graduate Research and Innovation Foundation of Chongqing","award":["yjscxx2025-269-242"],"award-info":[{"award-number":["yjscxx2025-269-242"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["SIViP"],"published-print":{"date-parts":[[2025,12]]},"DOI":"10.1007\/s11760-025-04762-9","type":"journal-article","created":{"date-parts":[[2025,9,16]],"date-time":"2025-09-16T10:46:53Z","timestamp":1758019613000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Limited-angle CT reconstruction by minimizing L1 over L2 based on linearized alternating direction method"],"prefix":"10.1007","volume":"19","author":[{"given":"Cheng","family":"Qin","sequence":"first","affiliation":[]},{"given":"Jie","family":"Chen","sequence":"additional","affiliation":[]},{"given":"Changcheng","family":"Gong","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2025,9,16]]},"reference":[{"key":"4762_CR1","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1007\/978-981-97-1455-1_4","volume-title":"Computational Optical Imaging: Principle and Technology","author":"X Zhou","year":"2024","unstructured":"Zhou, X., Liu, Z.: Computerized tomography. In: Liu, Z., Zhou, X., Liu, S. (eds.) Computational optical imaging: principle and technology, pp. 101\u2013134. Springer Nature Singapore, Singapore (2024)"},{"key":"4762_CR2","doi-asserted-by":"crossref","unstructured":"Fu, J., Chang, J., Sun, Y., Zeng, T., Tang, P., Xu, S., Cong, P.: enhancing image quality in limited-angle ct reconstruction for reactor pressure pipelines detection, 2024 31st International Conference on Nuclear Engineering, (2024)","DOI":"10.1115\/ICONE31-133650"},{"key":"4762_CR3","doi-asserted-by":"publisher","unstructured":"Frikel, J., Quinto, E.T.: Characterization and reduction of artifacts in limited angle tomography, inverse problems 29(12), (2013).https:\/\/doi.org\/10.1088\/0266-5611\/29\/12\/125007","DOI":"10.1088\/0266-5611\/29\/12\/125007"},{"key":"4762_CR4","doi-asserted-by":"publisher","unstructured":"Zhang, Z., Chen, B., Xia, D., Sidky, E.Y., Pan, X.: Directional-TV algorithm for image reconstruction from limited-angular-range data. Med. Image. Anal. 70 (2021). https:\/\/doi.org\/10.1016\/j.media.2021.102030","DOI":"10.1016\/j.media.2021.102030"},{"key":"4762_CR5","doi-asserted-by":"publisher","first-page":"70465","DOI":"10.1109\/access.2020.2985107","volume":"8","author":"C Gong","year":"2020","unstructured":"Gong, C., Zeng, L.: Self-Guided Limited-Angle computed tomography reconstruction based on anisotropic relative total variation. IEEE Access. 8, 70465\u201370476 (2020). https:\/\/doi.org\/10.1109\/access.2020.2985107","journal-title":"IEEE Access."},{"key":"4762_CR6","doi-asserted-by":"publisher","first-page":"586","DOI":"10.1016\/j.apm.2019.05.020","volume":"74","author":"C Gong","year":"2019","unstructured":"Gong, C., Zeng, L., Wang, C.: Image reconstruction model for limited-angle CT based on prior image induced relative total variation. Appl. Math. Model. 74, 586\u2013605 (2019). https:\/\/doi.org\/10.1016\/j.apm.2019.05.020","journal-title":"Appl. Math. Model."},{"issue":"1","key":"4762_CR7","doi-asserted-by":"publisher","first-page":"95","DOI":"10.3233\/xst-221256","volume":"31","author":"C Gong","year":"2023","unstructured":"Gong, C., Liu, J.: Structure-guided computed tomography reconstruction from limited-angle projections. J. X-Ray Sci. Technol. 31(1), 95\u2013117 (2023). https:\/\/doi.org\/10.3233\/xst-221256","journal-title":"J. X-Ray Sci. Technol."},{"key":"4762_CR8","doi-asserted-by":"publisher","first-page":"910","DOI":"10.1109\/TIP.2024.3351382","volume":"33","author":"J Pan","year":"2024","unstructured":"Pan, J., Yu, H., Gao, Z., Wang, S., Zhang, H., Wu, W.: Iterative residual optimization network for limited-angle tomographic reconstruction. IEEE Trans. Image Process. 33, 910\u2013925 (2024). https:\/\/doi.org\/10.1109\/TIP.2024.3351382","journal-title":"IEEE Trans. Image Process."},{"issue":"17","key":"4762_CR9","doi-asserted-by":"publisher","first-page":"4777","DOI":"10.1088\/0031-9155\/53\/17\/021","volume":"53","author":"EY Sidky","year":"2008","unstructured":"Sidky, E.Y., Pan, X.: Image reconstruction in circular cone-beam computed tomography by constrained, total-variation minimization. Phys. Med. Biol. 53(17), 4777\u20134807 (2008). https:\/\/doi.org\/10.1088\/0031-9155\/53\/17\/021","journal-title":"Phys. Med. Biol."},{"issue":"7","key":"4762_CR10","doi-asserted-by":"publisher","first-page":"2119","DOI":"10.1088\/0031-9155\/58\/7\/2119","volume":"58","author":"Z Chen","year":"2013","unstructured":"Chen, Z., Jin, X., Li, L., Wang, G.: A limited-angle CT reconstruction method based on anisotropic TV minimization. Phys. Med. Biol. 58(7), 2119\u20132141 (2013). https:\/\/doi.org\/10.1088\/0031-9155\/58\/7\/2119","journal-title":"Phys. Med. Biol."},{"issue":"10","key":"4762_CR11","doi-asserted-by":"publisher","first-page":"2742","DOI":"10.1109\/tns.2017.2750199","volume":"64","author":"T Wang","year":"2017","unstructured":"Wang, T., Nakamoto, K., Zhang, H., Liu, H.: Reweighted anisotropic total variation minimization for limited-angle CT reconstruction. IEEE Trans. Nucl. Sci. 64(10), 2742\u20132760 (2017). https:\/\/doi.org\/10.1109\/tns.2017.2750199","journal-title":"IEEE Trans. Nucl. Sci."},{"key":"4762_CR12","doi-asserted-by":"crossref","unstructured":"Xu, L., Lu, C., Xu, Y., Jia, J.: Image smoothing via L0 gradient minimization, Proceedings of the 2011 SIGGRAPH Asia Conference, pp. 1\u201312. (2011)","DOI":"10.1145\/2024156.2024208"},{"key":"4762_CR13","doi-asserted-by":"publisher","unstructured":"Xu, J., Zhao, Y., Li, H., Zhang, P.: An image reconstruction model regularized by edge-preserving diffusion and smoothing for limited-angle computed tomography. Inverse Probl. 35(8), (2019). https:\/\/doi.org\/10.1088\/1361-6420\/ab08f9","DOI":"10.1088\/1361-6420\/ab08f9"},{"key":"4762_CR14","doi-asserted-by":"publisher","unstructured":"Chartrand, R.: exact reconstruction of sparse signals via nonconvex minimization, IEEE Signal Processing Letters 14(10), 707-710 (2007). https:\/\/doi.org\/10.1109\/lsp.2007.898300","DOI":"10.1109\/lsp.2007.898300"},{"issue":"7","key":"4762_CR15","doi-asserted-by":"publisher","first-page":"1013","DOI":"10.1109\/tnnls.2012.2197412","volume":"23","author":"X Zongben","year":"2012","unstructured":"Zongben, X., Xiangyu, C., Fengmin, X., Hai, Z.: L1\/2 regularization: A thresholding representation theory and a fast solver. IEEE Trans. Neural Networks Learn. Syst. 23(7), 1013\u20131027 (2012). https:\/\/doi.org\/10.1109\/tnnls.2012.2197412","journal-title":"IEEE Trans. Neural Networks Learn. Syst."},{"key":"4762_CR16","doi-asserted-by":"publisher","unstructured":"Lv, J., Fan, Y.: A unified approach to model selection and sparse recovery using regularized least squares. Annals Stat. 37(6A), (2009). https:\/\/doi.org\/10.1214\/09-aos683","DOI":"10.1214\/09-aos683"},{"issue":"1","key":"4762_CR17","doi-asserted-by":"publisher","first-page":"259","DOI":"10.1137\/18m1178566","volume":"12","author":"C Wang","year":"2019","unstructured":"Wang, C., Chan, R., Nikolova, M., Plemmons, R., Prasad, S.: Nonconvex optimization for 3-Dimensional point source localization using a rotating point spread function. SIAM J. Imaging Sci. 12(1), 259\u2013286 (2019). https:\/\/doi.org\/10.1137\/18m1178566","journal-title":"SIAM J. Imaging Sci."},{"issue":"1","key":"4762_CR18","doi-asserted-by":"publisher","first-page":"307","DOI":"10.1007\/s10107-018-1236-x","volume":"169","author":"S Zhang","year":"2018","unstructured":"Zhang, S., Xin, J.: Minimization of transformed L_1penalty: Theory, difference of convex function algorithm, and robust application in compressed sensing. Math. Program. 169(1), 307\u2013336 (2018). https:\/\/doi.org\/10.1007\/s10107-018-1236-x","journal-title":"Math. Program."},{"issue":"2","key":"4762_CR19","doi-asserted-by":"publisher","first-page":"767","DOI":"10.1007\/s10915-017-0463-2","volume":"74","author":"Y Lou","year":"2018","unstructured":"Lou, Y., Yan, M.: Fast L1\u2013L2 minimization via a proximal operator. J. Sci. Comput. 74(2), 767\u2013785 (2018). https:\/\/doi.org\/10.1007\/s10915-017-0463-2","journal-title":"J. Sci. Comput."},{"issue":"1","key":"4762_CR20","doi-asserted-by":"publisher","first-page":"178","DOI":"10.1007\/s10915-014-9930-1","volume":"64","author":"Y Lou","year":"2015","unstructured":"Lou, Y., Yin, P., He, Q., Xin, J.: Computing sparse representation in a highly coherent dictionary based on difference of L1 and L2. J. Sci. Comput. 64(1), 178\u2013196 (2015). https:\/\/doi.org\/10.1007\/s10915-014-9930-1","journal-title":"J. Sci. Comput."},{"issue":"3","key":"4762_CR21","doi-asserted-by":"publisher","first-page":"1082","DOI":"10.1007\/s10915-016-0169-x","volume":"68","author":"Y Lou","year":"2016","unstructured":"Lou, Y., Yin, P., Xin, J.: Point source Super-resolution via Non-convex L1 based methods. J. Sci. Comput. 68(3), 1082\u20131100 (2016). https:\/\/doi.org\/10.1007\/s10915-016-0169-x","journal-title":"J. Sci. Comput."},{"issue":"3","key":"4762_CR22","doi-asserted-by":"publisher","first-page":"1346","DOI":"10.1137\/16m1098929","volume":"10","author":"T-H Ma","year":"2017","unstructured":"Ma, T.-H., Lou, Y., Huang, T.-Z.: Truncated l_{1\u20132} models for sparse recovery and rank minimization. SIAM J. Imaging Sci. 10(3), 1346\u20131380 (2017). https:\/\/doi.org\/10.1137\/16m1098929","journal-title":"SIAM J. Imaging Sci."},{"issue":"6","key":"4762_CR23","doi-asserted-by":"publisher","first-page":"917","DOI":"10.3934\/ipi.2017043","volume":"11","author":"C Wang","year":"2017","unstructured":"Wang, C., Zeng, L., Guo, Y., Zhang, L.: Wavelet tight frame and prior image-based image reconstruction from limited-angle projection data. Inverse Probl. & Imaging. 11(6), 917\u2013948 (2017). https:\/\/doi.org\/10.3934\/ipi.2017043","journal-title":"Inverse Probl. &Imaging"},{"key":"4762_CR24","doi-asserted-by":"publisher","unstructured":"Wang, C., Xia, Y., Wang, J., Zhao, K., Peng, W., Yu, W.: An interactive method based on multi-objective optimization for limited-angle CT reconstruction. Phys. Med. Biol. 69(9), (2024). https:\/\/doi.org\/10.1088\/1361-6560\/ad3724","DOI":"10.1088\/1361-6560\/ad3724"},{"issue":"2","key":"4762_CR25","doi-asserted-by":"publisher","first-page":"749","DOI":"10.1137\/20m1341490","volume":"14","author":"C Wang","year":"2021","unstructured":"Wang, C., Tao, M., Nagy, J.G., Lou, Y.: Limited-angle CT reconstruction via the L1\/L2 minimization. SIAM J. Imaging Sci. 14(2), 749\u2013777 (2021). https:\/\/doi.org\/10.1137\/20m1341490","journal-title":"SIAM J. Imaging Sci."},{"key":"4762_CR26","doi-asserted-by":"publisher","unstructured":"Rahimi, Y., Wang, C., Dong, H., Lou, Y., Scale-Invariant, A.: Approach for sparse signal recovery. SIAM J. Sci. Comput. 41(6), A3649\u2013A3672 (2019). https:\/\/doi.org\/10.1137\/18m123147x","DOI":"10.1137\/18m123147x"},{"key":"4762_CR27","doi-asserted-by":"publisher","unstructured":"Wang, C., Yan, M., Rahimi, Y., Lou, Y.: Accelerated schemes for the L1\/L2 minimization. IEEE Trans. Signal Process. 68, 2660\u20132669 (2020). https:\/\/doi.org\/10.1109\/tsp.2020.2985298","DOI":"10.1109\/tsp.2020.2985298"},{"key":"4762_CR28","doi-asserted-by":"publisher","unstructured":"Yu, W., Wang, C., Huang, M.: Edge-preserving reconstruction from sparse projections of limited-angle computed tomography using \u2113-regularized gradient prior. Rev. Sci. Instrum. 88(4), (2017). https:\/\/doi.org\/10.1063\/1.4981132","DOI":"10.1063\/1.4981132"},{"key":"4762_CR29","volume-title":"Tomographic X-ray Data of Carved Cheese","author":"TA Bubba","year":"2017","unstructured":"Bubba, T.A., Juvonen, M., Lehtonen, J., Marz, M., Meaney, A., Purisha, Z., Siltanen, S.: Tomographic x-ray data of carved cheese. Medical Physics, arXiv (2017)"}],"container-title":["Signal, Image and Video Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11760-025-04762-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11760-025-04762-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11760-025-04762-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,9]],"date-time":"2025-10-09T03:28:44Z","timestamp":1759980524000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11760-025-04762-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,9,16]]},"references-count":29,"journal-issue":{"issue":"13","published-print":{"date-parts":[[2025,12]]}},"alternative-id":["4762"],"URL":"https:\/\/doi.org\/10.1007\/s11760-025-04762-9","relation":{},"ISSN":["1863-1703","1863-1711"],"issn-type":[{"value":"1863-1703","type":"print"},{"value":"1863-1711","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,9,16]]},"assertion":[{"value":"24 July 2025","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"31 August 2025","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"6 September 2025","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"16 September 2025","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare no competing interests.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Competing interests"}}],"article-number":"1149"}}