{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,15]],"date-time":"2025-10-15T00:31:05Z","timestamp":1760488265175,"version":"build-2065373602"},"reference-count":35,"publisher":"Springer Science and Business Media LLC","issue":"8","license":[{"start":{"date-parts":[[2025,8,8]],"date-time":"2025-08-08T00:00:00Z","timestamp":1754611200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,8,8]],"date-time":"2025-08-08T00:00:00Z","timestamp":1754611200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Comp. Appl. Math."],"published-print":{"date-parts":[[2025,12]]},"DOI":"10.1007\/s40314-025-03348-y","type":"journal-article","created":{"date-parts":[[2025,8,8]],"date-time":"2025-08-08T10:16:55Z","timestamp":1754648215000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Enhanced image reconstruction in compressed sensing medical imaging via preconditioning"],"prefix":"10.1007","volume":"44","author":[{"given":"Evelin Nissy","family":"Thomas","sequence":"first","affiliation":[]},{"given":"Prasad","family":"Theeda","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6674-5465","authenticated-orcid":false,"given":"Praveen","family":"Thomas","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2025,8,8]]},"reference":[{"key":"3348_CR1","unstructured":"Abolghasemi V, Ferdowsi S, Makkiabadi B, Sanei S (2010) On optimization of the measurement matrix for compressive sensing. In: 2010 18th European signal processing conference, Aalborg, Denmark, pp 427\u2013431"},{"issue":"8","key":"3348_CR2","doi-asserted-by":"publisher","first-page":"2055","DOI":"10.1109\/TSP.2013.2245663","volume":"61","author":"D Barchiesi","year":"2013","unstructured":"Barchiesi D, Plumbley MD (2013) Learning incoherent dictionaries for sparse approximation using iterative projections and rotations. IEEE Trans Signal Process 61(8):2055\u20132065","journal-title":"IEEE Trans Signal Process"},{"key":"3348_CR3","first-page":"94","volume":"28","author":"M Beister","year":"2012","unstructured":"Beister M, Kolditz D, Kalender WA (2012) Iterative reconstruction methods in x-ray CT. Eur J Med Phys 28:94\u2013108","journal-title":"Eur J Med Phys"},{"issue":"9\u201310","key":"3348_CR4","first-page":"589","volume":"346","author":"EJ Cand\u00e8s","year":"2008","unstructured":"Cand\u00e8s EJ (2008) The restricted isometry property and its implications for compressed sensing. CR Math 346(9\u201310):589\u2013592 (ISSN 1631-073X)","journal-title":"CR Math"},{"issue":"4","key":"3348_CR5","doi-asserted-by":"publisher","first-page":"1289","DOI":"10.1109\/TIT.2006.871582","volume":"52","author":"DL Donoho","year":"2006","unstructured":"Donoho DL (2006) Compressed sensing. IEEE Trans Inf Theory 52(4):1289\u20131306","journal-title":"IEEE Trans Inf Theory"},{"issue":"7","key":"3348_CR6","doi-asserted-by":"publisher","first-page":"1395","DOI":"10.1109\/TIP.2009.2022459","volume":"18","author":"JM Duarte-Carvajalino","year":"2009","unstructured":"Duarte-Carvajalino JM, Sapiro G (2009) Learning to sense sparse signals: simultaneous sensing matrix and sparsifying dictionary optimization. IEEE Trans Image Process 18(7):1395\u20131408","journal-title":"IEEE Trans Image Process"},{"issue":"12","key":"3348_CR7","doi-asserted-by":"publisher","first-page":"5695","DOI":"10.1109\/TSP.2007.900760","volume":"55","author":"M Elad","year":"2007","unstructured":"Elad M (2007) Optimized projections for compressed sensing. IEEE Trans Signal Process 55(12):5695\u20135702","journal-title":"IEEE Trans Signal Process"},{"key":"3348_CR8","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-7011-4","volume-title":"Sparse and redundant representations: from theory to applications in signal processing","author":"M Elad","year":"2010","unstructured":"Elad M (2010) Sparse and redundant representations: from theory to applications in signal processing. Springer, Berlin"},{"key":"3348_CR9","first-page":"321","volume":"82","author":"R Entezari","year":"2017","unstructured":"Entezari R, Rashidi A (2017) Measurement matrix optimization based on incoherent unit norm tight frame. AEU-Int J Electron C 82:321\u2013326 (ISSN 1434-8411)","journal-title":"AEU-Int J Electron C"},{"key":"3348_CR10","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-8176-4948-7","volume-title":"A mathematical introduction to compressive sensing","author":"S Foucart","year":"2013","unstructured":"Foucart S, Rauhut H (2013) A mathematical introduction to compressive sensing. Birkhuser, Basel"},{"issue":"1","key":"3348_CR11","doi-asserted-by":"publisher","first-page":"189","DOI":"10.1007\/s10107-015-0875-4","volume":"156","author":"K Fountoulakis","year":"2016","unstructured":"Fountoulakis K, Gondzio J (2016) A second-order method for strongly convex $$l_1$$-regularization problems. Math Program 156(1):189\u2013219","journal-title":"Math Program"},{"key":"3348_CR12","unstructured":"Ghanbari H, Scheinberg K (2016) Proximal quasi-Newton methods for convex optimization. Technical Report"},{"key":"3348_CR13","unstructured":"Gupta U, Ranjan U. Algebraic Reconstruction Techniques. In: Daya Sagar, BS, Cheng Q, McKinley J, Agterberg F. (eds) Encyclopedia of mathematical geosciences. Encyclopedia of Earth Sciences Series. Springer, Cham"},{"issue":"2","key":"3348_CR14","first-page":"105","volume":"1","author":"AM Hameed","year":"2015","unstructured":"Hameed AM et al (2015) Quality measurement of blurred images using nmse and ssim metrics in hsv and RGB color spaces. Phys J 1(2):105\u2013111","journal-title":"Phys J"},{"key":"3348_CR15","doi-asserted-by":"publisher","DOI":"10.1201\/9781420030679","volume-title":"Medical image processing, reconstruction and restoration: concepts and methods","author":"J Jan","year":"2005","unstructured":"Jan J (2005) Medical image processing, reconstruction and restoration: concepts and methods. CRC Press, Boca Raton"},{"key":"3348_CR16","doi-asserted-by":"crossref","unstructured":"Jin S, Sun W, Huang L (2023) Joint optimization methods for Gaussian random measurement matrix based on column coherence in compressed sensing. Signal Process, vol. 207, 108941","DOI":"10.1016\/j.sigpro.2023.108941"},{"issue":"3","key":"3348_CR17","doi-asserted-by":"publisher","first-page":"1420","DOI":"10.1137\/130921428","volume":"24","author":"JD Lee","year":"2014","unstructured":"Lee JD, Sun Y, Saunders MA (2014) Proximal Newton-type methods for minimizing composite functions. SIAM J Optim 24(3):1420\u20131443","journal-title":"SIAM J Optim"},{"issue":"6","key":"3348_CR18","doi-asserted-by":"publisher","first-page":"1545","DOI":"10.1088\/0031-9155\/56\/6\/003","volume":"56","author":"C Li","year":"2011","unstructured":"Li C, Yin W, Jiang H, Zhang Y (2011) Improved total variation-based CT image reconstruction applied to clinical data. Phys Med Biol 56(6):1545\u20131561","journal-title":"Phys Med Biol"},{"key":"3348_CR19","doi-asserted-by":"publisher","first-page":"507","DOI":"10.1007\/s10589-013-9576-1","volume":"56","author":"C Li","year":"2013","unstructured":"Li C, Yin W, Jiang H et al (2013) An efficient augmented Lagrangian method with applications to total variation minimization. Comput Optim Appl 56:507\u2013530","journal-title":"Comput Optim Appl"},{"key":"3348_CR20","doi-asserted-by":"crossref","unstructured":"Liu W, Ding H. (2023) Solving low-dose CT reconstruction via GAN with local coherence. In: Greenspan H, et al. Medical Image Computing and Computer Assisted Intervention\u2014MICCAI 2023","DOI":"10.1007\/978-3-031-43999-5_50"},{"key":"3348_CR21","unstructured":"Medpix, The National Library of Medicine, Lister Hill National Center for Biomedical Communications, https:\/\/medpix.nlm.nih.gov"},{"issue":"1","key":"3348_CR22","first-page":"123","volume":"4","author":"J Moreno","year":"2013","unstructured":"Moreno J, Jaime B, Saucedo S (2013) Towards no-reference of peak signal to noise ratio. Int J Adv Comput Sci Appl (IJACSA) 4(1):123\u2013130","journal-title":"Int J Adv Comput Sci Appl (IJACSA)"},{"key":"3348_CR23","doi-asserted-by":"crossref","unstructured":"Parikh N, Boyd S (2014) Proximal algorithms. Foundations and trends\u00ae in Optimization 1(3):127\u2013239","DOI":"10.1561\/2400000003"},{"key":"3348_CR24","doi-asserted-by":"crossref","unstructured":"Prasad T, Kumar PUP, Sastry CS, Jampana PV. (2015). Optimization of low-dose tomography via binary sensing matrices. In: Barneva R, Bhattacharya B, Brimkov V (eds) Combinatorial image analysis. IWCIA 2015. Lecture Notes in Computer Science, vol. 9448. Springer, Cham","DOI":"10.1007\/978-3-319-26145-4_25"},{"key":"3348_CR25","doi-asserted-by":"crossref","unstructured":"Prasad T, Kumar PUP, Sastry CS, Jampana PV (2017) Reconstruction of sparse-view tomography via banded matrices. In: Mukherjee S, et al. Computer vision, graphics, and image processing. ICVGIP 2016. Lecture Notes in Computer Science, vol 10481. Springer, Cham","DOI":"10.1007\/978-3-319-68124-5_18"},{"key":"3348_CR26","doi-asserted-by":"publisher","first-page":"1928","DOI":"10.1109\/LSP.2021.3112105","volume":"28","author":"P Sasmal","year":"2021","unstructured":"Sasmal P, Theeda P, Jampana P, Sastry CS (2021) Nullspace property for optimality of minimum frame angle under invertible linear operators. IEEE Signal Process Lett 28:1928\u20131932","journal-title":"IEEE Signal Process Lett"},{"key":"3348_CR27","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6501\/ac39d2","volume":"33","author":"M Sonkar","year":"2022","unstructured":"Sonkar M et al (2022) Sparsity-driven deterministic sampling strategy for coded aperture x-ray computed tomography. Meas Sci Technol 33:034003","journal-title":"Meas Sci Technol"},{"key":"3348_CR28","doi-asserted-by":"publisher","first-page":"285","DOI":"10.1007\/s12190-018-1180-1","volume":"59","author":"P Theeda","year":"2019","unstructured":"Theeda P, Kumar PUP, Sastry CS et al (2019) Reconstruction of sparse-view tomography via preconditioned Radon sensing matrix. J Appl Math Comput 59:285\u2013303","journal-title":"J Appl Math Comput"},{"issue":"18","key":"3348_CR29","doi-asserted-by":"publisher","first-page":"5949","DOI":"10.1088\/0031-9155\/56\/18\/011","volume":"56","author":"Z Tian","year":"2011","unstructured":"Tian Z, Jia X, Yuan K, Pan T, Jiang SB (2011) Low-dose CT reconstruction via edge-preserving total variation regularization. Phys Med Biol 56(18):5949\u20135967","journal-title":"Phys Med Biol"},{"issue":"4","key":"3348_CR30","doi-asserted-by":"publisher","first-page":"600","DOI":"10.1109\/TIP.2003.819861","volume":"13","author":"Z Wang","year":"2004","unstructured":"Wang Z, Bovik AC, Sheikh H, Simoncelli EP (2004) Image quality assessment: from error visibility to structural similarity. IEEE Trans Image Process 13(4):600\u2013612","journal-title":"IEEE Trans Image Process"},{"issue":"5","key":"3348_CR31","doi-asserted-by":"publisher","first-page":"1073","DOI":"10.1109\/TIM.2014.2298271","volume":"63","author":"W Yan","year":"2014","unstructured":"Yan W, Wang Q, Shen Y (2014) Shrinkage-based alternating projection algorithm for efficient measurement matrix construction in compressive sensing. IEEE Trans Instrum Meas 63(5):1073\u20131084","journal-title":"IEEE Trans Instrum Meas"},{"key":"3348_CR32","doi-asserted-by":"publisher","first-page":"329","DOI":"10.3390\/math9040329","volume":"9","author":"R Yi","year":"2021","unstructured":"Yi R, Cui C, Wu B, Gong Y (2021) A new method of measurement matrix optimization for compressed sensing based on alternating minimization. Mathematics 9:329","journal-title":"Mathematics"},{"key":"3348_CR33","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2022.108896","volume":"205","author":"W Yumo","year":"2023","unstructured":"Yumo W, Sun J, Chen W, Yin J (2023) Improved image compressive sensing recovery with low-rank prior and deep image prior. Signal Process 205:108896 (ISSN 0165-1684)","journal-title":"Signal Process"},{"key":"3348_CR34","doi-asserted-by":"publisher","first-page":"490","DOI":"10.1109\/ACCESS.2015.2430359","volume":"3","author":"Z Zhang","year":"2015","unstructured":"Zhang Z, Xu Y, Yang J, Li X, Zhang D (2015) Survey of sparse representation: algorithms and applications. IEEE Access 3:490\u2013530","journal-title":"IEEE Access"},{"issue":"2014","key":"3348_CR35","first-page":"26","volume":"748","author":"H Zhanli","year":"2014","unstructured":"Zhanli H, Liang D, Xia D, Zheng H (2014) Compressive sampling in computed tomography: method and application. Nucl Instrum Methods Phys Res, Sect A 748(2014):26\u201332 (ISSN 0168-9002)","journal-title":"Nucl Instrum Methods Phys Res, Sect A"}],"container-title":["Computational and Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-025-03348-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s40314-025-03348-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-025-03348-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,14]],"date-time":"2025-10-14T11:14:10Z","timestamp":1760440450000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s40314-025-03348-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,8,8]]},"references-count":35,"journal-issue":{"issue":"8","published-print":{"date-parts":[[2025,12]]}},"alternative-id":["3348"],"URL":"https:\/\/doi.org\/10.1007\/s40314-025-03348-y","relation":{},"ISSN":["2238-3603","1807-0302"],"issn-type":[{"type":"print","value":"2238-3603"},{"type":"electronic","value":"1807-0302"}],"subject":[],"published":{"date-parts":[[2025,8,8]]},"assertion":[{"value":"12 July 2024","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"28 May 2025","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"18 July 2025","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 August 2025","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"402"}}