{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T04:14:20Z","timestamp":1742962460562,"version":"3.40.3"},"publisher-location":"Cham","reference-count":17,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783031162091"},{"type":"electronic","value":"9783031162107"}],"license":[{"start":{"date-parts":[[2022,1,1]],"date-time":"2022-01-01T00:00:00Z","timestamp":1640995200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2022,1,1]],"date-time":"2022-01-01T00:00:00Z","timestamp":1640995200000},"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":[],"published-print":{"date-parts":[[2022]]},"DOI":"10.1007\/978-3-031-16210-7_33","type":"book-chapter","created":{"date-parts":[[2022,9,20]],"date-time":"2022-09-20T23:03:09Z","timestamp":1663714989000},"page":"396-405","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["An Original Continuous-to-Continuous Forward Model as\u00a0a\u00a0Universal Method for\u00a0the\u00a0Formulation of\u00a0Reconstruction Methods for\u00a0Medical Imaging Techniques"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4185-1971","authenticated-orcid":false,"given":"Robert","family":"Cierniak","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Piotr","family":"Pluta","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2022,9,21]]},"reference":[{"key":"33_CR1","doi-asserted-by":"publisher","first-page":"161","DOI":"10.1109\/TIP.2010.2058811","volume":"20","author":"Y Zhou","year":"2011","unstructured":"Zhou, Y., Thibault, J.-B., Bouman, C.A., Hsieh, J., Sauer, K.D.: Fast model-based X-ray CT reconstruction using spatially non-homogeneous ICD optimization. IEEE Tran. Image Proc. 20, 161\u2013175 (2011)","journal-title":"IEEE Tran. Image Proc."},{"key":"33_CR2","doi-asserted-by":"crossref","unstructured":"Mathews, J. D., et al.: Cancer risk in 680 people expose to computed tomography scans in childhood or adolescent: data linkage study of 11 million Australians. British Medical Journal, f2360, 346\u2013360 (2013)","DOI":"10.1136\/bmj.f2360"},{"key":"33_CR3","doi-asserted-by":"publisher","first-page":"534","DOI":"10.1109\/78.193196","volume":"41","author":"K Sauer","year":"1993","unstructured":"Sauer, K., Bouman, C.: A local update strategy for iterative reconstruction from projections. IEEE Tran. Signal Proc. 41, 534\u2013548 (1993)","journal-title":"IEEE Tran. Signal Proc."},{"key":"33_CR4","doi-asserted-by":"publisher","first-page":"480","DOI":"10.1109\/83.491321","volume":"5","author":"CA Bouman","year":"1996","unstructured":"Bouman, C.A., Sauer, K.: A unified approach to statistical tomography using coordinate descent optimization. IEEE Tran. Image Proc. 5, 480\u2013492 (1996)","journal-title":"IEEE Tran. Image Proc."},{"key":"33_CR5","doi-asserted-by":"publisher","first-page":"409","DOI":"10.1109\/PROC.1983.12598","volume":"71","author":"Y Censor","year":"1983","unstructured":"Censor, Y.: Finite series-expansion reconstruction methods. Proc. IEEE 71, 409\u2013419 (1983)","journal-title":"Proc. IEEE"},{"key":"33_CR6","doi-asserted-by":"publisher","first-page":"4526","DOI":"10.1118\/1.2789499","volume":"34","author":"J-B Thibault","year":"2007","unstructured":"Thibault, J.-B., Sauer, K.D., Bouman, C.A., Hsieh, J.: A three-dimensional statistical approach to improved image quality for multislice helical CT. Med. Phys. 34, 4526\u20134544 (2007)","journal-title":"Med. Phys."},{"key":"33_CR7","doi-asserted-by":"publisher","first-page":"113","DOI":"10.1016\/j.artmed.2008.03.003","volume":"43","author":"R Cierniak","year":"2008","unstructured":"Cierniak, R.: A new approach to tomographic image reconstruction using a Hopfield-type neural network. Int. J. Artif. Intell. Med. 43, 113\u2013125 (2008)","journal-title":"Int. J. Artif. Intell. Med."},{"key":"33_CR8","doi-asserted-by":"publisher","first-page":"147","DOI":"10.2478\/v10006-008-0014-y","volume":"183","author":"R Cierniak","year":"2008","unstructured":"Cierniak, R.: A new approach to image reconstruction from projections problem using a recurrent neural network. Int. J. Appl. Math. Comput. Sci. 183, 147\u2013157 (2008)","journal-title":"Int. J. Appl. Math. Comput. Sci."},{"key":"33_CR9","doi-asserted-by":"publisher","first-page":"3238","DOI":"10.1016\/j.neucom.2009.02.005","volume":"72","author":"R Cierniak","year":"2009","unstructured":"Cierniak, R.: New neural network algorithm for image reconstruction from fan-beam projections. Neurocomputing 72, 3238\u20133244 (2009)","journal-title":"Neurocomputing"},{"key":"33_CR10","first-page":"505","volume":"6113","author":"R Cierniak","year":"2010","unstructured":"Cierniak, R.: A three-dimensional neural network based approach to the image reconstruction from projections problem. Lect. Notes Artif. Intell. 6113, 505\u2013514 (2010)","journal-title":"Lect. Notes Artif. Intell."},{"key":"33_CR11","unstructured":"Cierniak, R.: Analytical statistical reconstruction algorithm with the direct use of projections performed in spiral cone-beam scanners. In: Proceedings of the 5th International Meeting on Image Formation in X-Ray Computed Tomography, Salt Lake City, pp. 293\u2013296 (2018)"},{"key":"33_CR12","doi-asserted-by":"publisher","first-page":"137","DOI":"10.2478\/jaiscr-2020-0010","volume":"10","author":"R Cierniak","year":"2020","unstructured":"Cierniak, R., Pluta, P., Ka\u017amierczak, A.: A practical statistical approach to the reconstruction problem using a single slice rebinning method. J. Artif. Intell. Soft Comput. Res. 10, 137\u2013149 (2020)","journal-title":"J. Artif. Intell. Soft Comput. Res."},{"key":"33_CR13","doi-asserted-by":"publisher","first-page":"271","DOI":"10.2478\/jaiscr-2021-0016","volume":"11","author":"R Cierniak","year":"2021","unstructured":"Cierniak, R., et al.: A new statistical reconstruction method for the computed tomography using an X-ray tube with flying focal spot. J. Artif. Intell. Soft Comput. Res. 11, 271\u2013286 (2021)","journal-title":"J. Artif. Intell. Soft Comput. Res."},{"issue":"2","key":"33_CR14","doi-asserted-by":"publisher","first-page":"113","DOI":"10.1109\/TMI.1982.4307558","volume":"1","author":"LA Shepp","year":"1982","unstructured":"Shepp, L.A., Vardi, Y.: Maximum likelihood reconstruction for emission tomography. IEEE Tran. Med. Imag. 1(2), 113\u2013122 (1982)","journal-title":"IEEE Tran. Med. Imag."},{"key":"33_CR15","unstructured":"FORBILD project. http:\/\/www.imp.uni-erlangen.de\/forbild\/deutsch\/results\/head\/head.html Accessed 12 Dec 2020"},{"key":"33_CR16","doi-asserted-by":"publisher","first-page":"259","DOI":"10.1016\/0167-2789(92)90242-F","volume":"60","author":"LI Rudin","year":"1992","unstructured":"Rudin, L.I., Osher, S., Fatemi, E.: Nonlinear total variation based noise removal algorithms. Phys. D Nonlin. Phenom. 60, 259\u2013268 (1992)","journal-title":"Phys. D Nonlin. Phenom."},{"key":"33_CR17","doi-asserted-by":"publisher","first-page":"339","DOI":"10.1148\/radiol.2015132766","volume":"276","author":"LL Geyer","year":"2017","unstructured":"Geyer, L.L., et al.: State of the art: iterative CT reconstruction techniques. Radiology 276, 339\u2013357 (2017)","journal-title":"Radiology"}],"container-title":["Communications in Computer and Information Science","Advances in Computational Collective Intelligence"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-16210-7_33","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,9]],"date-time":"2023-03-09T12:20:59Z","timestamp":1678364459000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-16210-7_33"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022]]},"ISBN":["9783031162091","9783031162107"],"references-count":17,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-16210-7_33","relation":{},"ISSN":["1865-0929","1865-0937"],"issn-type":[{"type":"print","value":"1865-0929"},{"type":"electronic","value":"1865-0937"}],"subject":[],"published":{"date-parts":[[2022]]},"assertion":[{"value":"21 September 2022","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}