{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,8]],"date-time":"2026-04-08T09:42:49Z","timestamp":1775641369481,"version":"3.50.1"},"reference-count":30,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2021,12,20]],"date-time":"2021-12-20T00:00:00Z","timestamp":1639958400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,12,20]],"date-time":"2021-12-20T00:00:00Z","timestamp":1639958400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Sci Comput"],"published-print":{"date-parts":[[2022,1]]},"DOI":"10.1007\/s10915-021-01716-4","type":"journal-article","created":{"date-parts":[[2021,12,20]],"date-time":"2021-12-20T16:03:50Z","timestamp":1640016230000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":21,"title":["Learning Nonlinear Electrical Impedance Tomography"],"prefix":"10.1007","volume":"90","author":[{"given":"Francesco","family":"Colibazzi","sequence":"first","affiliation":[],"role":[{"role":"author","vocab":"crossref"}]},{"given":"Damiana","family":"Lazzaro","sequence":"additional","affiliation":[],"role":[{"role":"author","vocab":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8334-8798","authenticated-orcid":false,"given":"Serena","family":"Morigi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocab":"crossref"}]},{"given":"Andrea","family":"Samor\u00e9","sequence":"additional","affiliation":[],"role":[{"role":"author","vocab":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,12,20]]},"reference":[{"issue":"1","key":"1716_CR1","doi-asserted-by":"publisher","first-page":"44","DOI":"10.1109\/TMI.2009.2022540","volume":"29","author":"A Borsic","year":"2010","unstructured":"Borsic, A., Graham, B.M., Adler, A., Lionheart, W.R.B.: In vivo impedance imaging with total variation regularization. IEEE Trans. Med. Imaging 29(1), 44\u201354 (2010)","journal-title":"IEEE Trans. Med. Imaging"},{"key":"1716_CR2","unstructured":"Calder\u00f3n, A.P.: On an inverse boundary value problem. In: Seminar on Numerical Analysis and Its Applications to Continuum Physics, 65\u201373 (1980)"},{"issue":"6","key":"1716_CR3","doi-asserted-by":"publisher","first-page":"1964","DOI":"10.1137\/S1064827596299767","volume":"20","author":"TF Chan","year":"1999","unstructured":"Chan, T.F., Golub, G.H., Mulet, P.: A nonlinear primal-dual method for total variation-based image restoration. SIAM J. Sci. Comput. 20(6), 1964\u20131977 (1999)","journal-title":"SIAM J. Sci. Comput."},{"key":"1716_CR4","first-page":"1","volume":"70","author":"X Chen","year":"2021","unstructured":"Chen, X., Wang, Z., Zhang, X., Fu, R., Wang, D., Zhang, M., Wang, H., Member, S.: Deep autoencoder imaging method for electrical impedance tomography. IEEE Trans. Instrum. Meas. 70, 1\u201315 (2021)","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"1716_CR5","first-page":"1","volume":"70","author":"Z Chen","year":"2021","unstructured":"Chen, Z., Yang, Y., Bagnaninchi, P.-O.: Hybrid learning-based cell aggregate imaging with miniature electrical impedance tomography. IEEE Trans. Instrum. Meas. 70, 1\u201310 (2021)","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"1716_CR6","doi-asserted-by":"publisher","first-page":"65","DOI":"10.1002\/ima.1850020203","volume":"2","author":"M Cheney","year":"1990","unstructured":"Cheney, M., Isaacson, D., Newell, J., Simske, S., Goble, J.: Noser: an algorithm for solving the inverse conductivity problem. Int. J. Imag. Syst. Technol. 2, 65\u201375 (1990)","journal-title":"Int. J. Imag. Syst. Technol."},{"issue":"9","key":"1716_CR7","doi-asserted-by":"publisher","first-page":"918","DOI":"10.1109\/10.35300","volume":"36","author":"K-S Cheng","year":"1989","unstructured":"Cheng, K.-S., Isaacson, D., Newell, J.C., Gisser, D.G.: Electrode models for electric current computed tomography. IEEE Trans. Biomed. Eng. 36(9), 918\u2013924 (1989)","journal-title":"IEEE Trans. Biomed. Eng."},{"issue":"6","key":"1716_CR8","doi-asserted-by":"publisher","first-page":"064001","DOI":"10.1088\/1361-6579\/ac023b","volume":"42","author":"M Cortesi","year":"2021","unstructured":"Cortesi, M., Samor\u00e9, A., Lovecchio, J., Ramilli, R., Tartagni, M., Giordano, E., Crescentini, M.: Development of an electrical impedance tomography set-up for the quantification of mineralization in biopolymer scaffolds. Physiol. Meas. 42(6), 064001 (2021)","journal-title":"Physiol. Meas."},{"issue":"12","key":"1716_CR9","doi-asserted-by":"publisher","first-page":"125009","DOI":"10.1088\/1361-6560\/ab831a","volume":"65","author":"Q Ding","year":"2020","unstructured":"Ding, Q., Chen, G., Zhang, X., Huang, Q., Ji, H., Gao, H.: Low-dose ct with deep learning regularization via proximal forward\u2013backward splitting. Phys. Med. Biol. 65(12), 125009 (2020)","journal-title":"Phys. Med. Biol."},{"issue":"10","key":"1716_CR10","doi-asserted-by":"publisher","first-page":"2367","DOI":"10.1109\/TMI.2018.2828303","volume":"37","author":"SJ Hamilton","year":"2018","unstructured":"Hamilton, S.J., Hauptmann, A.: Deep d-bar: real-time electrical impedance tomography imaging with deep neural networks. IEEE Trans. Med. Imaging 37(10), 2367\u20132377 (2018)","journal-title":"IEEE Trans. Med. Imaging"},{"issue":"9","key":"1716_CR11","doi-asserted-by":"publisher","first-page":"095005","DOI":"10.1088\/0266-5611\/28\/9\/095005","volume":"28","author":"SJ Hamilton","year":"2012","unstructured":"Hamilton, S.J., Herrera, C.N., Mueller, J.L., Von Herrmann, A.: A direct D-bar reconstruction algorithm for recovering a complex conductivity in 2D. Inverse Problems 28(9), 095005 (2012)","journal-title":"Inverse Problems"},{"issue":"7","key":"1716_CR12","doi-asserted-by":"publisher","first-page":"074002","DOI":"10.1088\/1361-6579\/ab21b2","volume":"40","author":"SJ Hamilton","year":"2019","unstructured":"Hamilton, S.J., H\u00e4nninen, A., Hauptmann, A., Kolehmainen, V.: Beltrami-net: domain-independent deep d-bar learning for absolute imaging with electrical impedance tomography (a-EIT). Physiol. Meas. 40(7), 074002 (2019)","journal-title":"Physiol. Meas."},{"key":"1716_CR13","doi-asserted-by":"crossref","unstructured":"Huska, M., Lazzaro, D., Morigi, S., et al.: A forward-backward strategy for handling non-linearity in electrical impedance tomography. In: Gervasi, O. (ed.) Lecture Notes in Computer Science. Computational Science and Its Applications-ICCSA, vol. 12951, 635\u2013651. Springer, Cham (2021)","DOI":"10.1007\/978-3-030-86970-0_44"},{"key":"1716_CR14","doi-asserted-by":"publisher","first-page":"46","DOI":"10.1007\/s10915-020-01295-w","volume":"84","author":"M Huska","year":"2020","unstructured":"Huska, M., Lazzaro, D., Morigi, S., Samor\u00e9, A., Scrivanti, G.: Spatially-adaptive variational reconstructions for linear inverse electrical impedance tomography. J. Sci. Comput. 84, 46 (2020)","journal-title":"J. Sci. Comput."},{"issue":"3","key":"1716_CR15","doi-asserted-by":"publisher","first-page":"741","DOI":"10.4310\/CMS.2009.v7.n3.a11","volume":"7","author":"Y Li","year":"2009","unstructured":"Li, Y., Osher, S.: A new median formula with applications to PDE based denoising. Commun. Math. Sci. 7(3), 741\u2013753 (2009)","journal-title":"Commun. Math. Sci."},{"key":"1716_CR16","doi-asserted-by":"crossref","unstructured":"Lionheart, W. R.: EIT reconstruction algorithms: Pitfalls, challenges and recent developments. In: Physiological Measurement (2004)","DOI":"10.1088\/0967-3334\/25\/1\/021"},{"key":"1716_CR17","doi-asserted-by":"publisher","first-page":"304","DOI":"10.1016\/j.softx.2018.09.005","volume":"7","author":"B Liu","year":"2018","unstructured":"Liu, B., Yang, B., Xu, C., Xia, J., Dai, M., Ji, Z., You, F., Dong, X., Shi, X., Fu, F.: pyeit: a python based framework for electrical impedance tomography. SoftwareX 7, 304\u2013308 (2018)","journal-title":"SoftwareX"},{"key":"1716_CR18","doi-asserted-by":"crossref","unstructured":"Martins, P.H., Niculae, V., Marinho, Z., Martins, A.F.T.: Sparse and structured visual attention (2020). ArXiv, abs\/2002.05556","DOI":"10.1109\/ICIP42928.2021.9506028"},{"key":"1716_CR19","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611972344","volume-title":"Linear and Nonlinear Inverse Problems with Practical Applications","author":"JL Mueller","year":"2012","unstructured":"Mueller, J.L., Siltanen, S.: Linear and Nonlinear Inverse Problems with Practical Applications. Society for Industrial and Applied Mathematics, Philadelphia (2012)"},{"issue":"4","key":"1716_CR20","doi-asserted-by":"publisher","first-page":"045008","DOI":"10.1088\/1361-6579\/aab8c4","volume":"39","author":"PA Muller","year":"2018","unstructured":"Muller, P.A., Mueller, J.L., Mellenthin, M., Murthy, R., Capps, M., Wagner, B.D., Alsaker, M., Deterding, R., Sagel, S.D., Hoppe, J.: Evaluation of surrogate measures of pulmonary function derived from electrical impedance tomography data in children with cystic fibrosis. Physiol. Meas. 39(4), 045008 (2018)","journal-title":"Physiol. Meas."},{"key":"1716_CR21","doi-asserted-by":"publisher","first-page":"108239","DOI":"10.1016\/j.sigpro.2021.108239","volume":"189","author":"JM Ramirez","year":"2021","unstructured":"Ramirez, J.M., Torre, J.I.M., Arguello, H.: Ladmm-net: an unrolled deep network for spectral image fusion from compressive data. Signal Process. 189, 108239 (2021)","journal-title":"Signal Process."},{"issue":"15","key":"1716_CR22","doi-asserted-by":"publisher","first-page":"1","DOI":"10.3390\/s19153400","volume":"19","author":"T Rymarczyk","year":"2019","unstructured":"Rymarczyk, T., Koz\u0142owski, E., K\u0142osowski, G., Niderla, K.: Logistic regression for machine learning in process tomography. Sensors (Switzerland) 19(15), 1\u201319 (2019)","journal-title":"Sensors (Switzerland)"},{"issue":"1","key":"1716_CR23","doi-asserted-by":"publisher","first-page":"216","DOI":"10.1137\/0150014","volume":"50","author":"F Santosa","year":"1990","unstructured":"Santosa, F., Vogelius, M.: A backprojection algorithm for electrical impedance imaging. SIAM J. Appl. Math. 50(1), 216\u2013243 (1990)","journal-title":"SIAM J. Appl. Math."},{"key":"1716_CR24","doi-asserted-by":"crossref","unstructured":"Stefanesco, S., Schlumberger, C., Schlumberger, M.: Sur la distribution \u00e9lectrique potentielle autour d\u2019une prise de terre ponctuelle dans un terrain \u00e0 couches horizontales, homog\u00e8nes et isotropes. Journal de Physique et le Radium 1(4), 132\u2013140 (1930)","DOI":"10.1051\/jphysrad:0193000104013200"},{"issue":"12","key":"1716_CR25","doi-asserted-by":"publisher","first-page":"123001","DOI":"10.1088\/1361-665X\/abb352","volume":"29","author":"TN Tallman","year":"2020","unstructured":"Tallman, T.N., Smyl, D.J.: Structural health and condition monitoring via electrical impedance tomography in self-sensing materials: a review. Smart Mater. Struct. 29(12), 123001 (2020)","journal-title":"Smart Mater. Struct."},{"issue":"2","key":"1716_CR26","doi-asserted-by":"publisher","first-page":"285","DOI":"10.1109\/42.700740","volume":"17","author":"M Vauhkonen","year":"1998","unstructured":"Vauhkonen, M., Vadasz, D., Karjalainen, P.A., Somersalo, E., Kaipio, J.P.: Tikhonov regularization and prior information in electrical impedance tomography. IEEE Trans. Med. Imaging 17(2), 285\u2013293 (1998)","journal-title":"IEEE Trans. Med. Imaging"},{"key":"1716_CR27","doi-asserted-by":"publisher","first-page":"1093","DOI":"10.1109\/TIM.2004.831180","volume":"53","author":"H Wang","year":"2004","unstructured":"Wang, H., Wang, C., Yin, W.: A pre-iteration method for the inverse problem in electrical impedance tomography. IEEE Trans. Instrum. Meas. 53, 1093\u20131096 (2004)","journal-title":"IEEE Trans. Instrum. Meas."},{"issue":"12","key":"1716_CR28","doi-asserted-by":"publisher","first-page":"2796","DOI":"10.1109\/TIM.2018.2831478","volume":"67","author":"Z Wang","year":"2018","unstructured":"Wang, Z., Yue, S., Song, K., Liu, X., Wang, H.: An unsupervised method for evaluating electrical impedance tomography images. IEEE Trans. Instrum. Meas. 67(12), 2796\u20132803 (2018)","journal-title":"IEEE Trans. Instrum. Meas."},{"issue":"5","key":"1716_CR29","doi-asserted-by":"publisher","first-page":"1326","DOI":"10.1109\/TMI.2019.2948909","volume":"39","author":"Z Wei","year":"2020","unstructured":"Wei, Z., Chen, X.: Induced-current learning method for nonlinear reconstructions in electrical impedance tomography. IEEE Trans. Med. Imaging 39(5), 1326\u20131334 (2020)","journal-title":"IEEE Trans. Med. Imaging"},{"key":"1716_CR30","unstructured":"Yang, Q., Sadeghi, A., Wang, G., Giannakis, G. B., Sun, J.: Gauss-Newton unrolled neural networks and data-driven priors for regularized PSSE with robustness (2020). arXiv e-prints arXiv:2003.01667"}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-021-01716-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10915-021-01716-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-021-01716-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,1,17]],"date-time":"2022-01-17T23:05:25Z","timestamp":1642460725000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10915-021-01716-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,12,20]]},"references-count":30,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2022,1]]}},"alternative-id":["1716"],"URL":"https:\/\/doi.org\/10.1007\/s10915-021-01716-4","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,12,20]]},"assertion":[{"value":"30 July 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"23 October 2021","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 November 2021","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"20 December 2021","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"58"}}