{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T08:58:37Z","timestamp":1777366717232,"version":"3.51.4"},"reference-count":40,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2013,9,18]],"date-time":"2013-09-18T00:00:00Z","timestamp":1379462400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Math Imaging Vis"],"published-print":{"date-parts":[[2014,6]]},"DOI":"10.1007\/s10851-013-0465-0","type":"journal-article","created":{"date-parts":[[2013,9,17]],"date-time":"2013-09-17T16:35:17Z","timestamp":1379435717000},"page":"335-351","source":"Crossref","is-referenced-by-count":10,"title":["Efficient Binary Tomographic Reconstruction"],"prefix":"10.1007","volume":"49","author":[{"given":"St\u00e9phane","family":"Roux","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hugo","family":"Leclerc","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fran\u00e7ois","family":"Hild","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2013,9,18]]},"reference":[{"key":"465_CR1","doi-asserted-by":"crossref","first-page":"553","DOI":"10.1007\/s00348-009-0728-0","volume":"47","author":"C. Atkinson","year":"2009","unstructured":"Atkinson, C., Soria, J.: An efficient simultaneous reconstruction technique for tomographic particle image velocimetry. Exp. Fluids 47, 553\u2013568 (2009)","journal-title":"Exp. Fluids"},{"key":"465_CR2","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1016\/j.scriptamat.2006.02.012","volume":"55","author":"J. Baruchel","year":"2006","unstructured":"Baruchel, J., Buffi\u00e8re, J.-Y., Cloetens, P., di Michiel, M., Ferri\u00e9, E., Ludwig, W., Maire, E., Salvo, L.: Advances in synchrotron radiation microtomography. Scr. Mater. 55, 41\u201346 (2006)","journal-title":"Scr. Mater."},{"key":"465_CR3","doi-asserted-by":"crossref","first-page":"1760","DOI":"10.1109\/83.869187","volume":"9","author":"S. Basu","year":"2000","unstructured":"Basu, S., Bresler, Y.: ${\\mathcal{O}}(N^{2} \\log_{2}N)$ filtered backprojection reconstruction algorithm for tomography. IEEE Trans. Image Process. 9, 1760\u20131773 (2000)","journal-title":"IEEE Trans. Image Process."},{"key":"465_CR4","doi-asserted-by":"crossref","first-page":"1103","DOI":"10.1109\/83.931104","volume":"10","author":"S. Basu","year":"2001","unstructured":"Basu, S., Bresler, Y.: Error analysis and performance optimization of fast hierarchical backprojection algorithms. IEEE Trans. Image Process. 10, 1103\u20131117 (2001)","journal-title":"IEEE Trans. Image Process."},{"key":"465_CR5","doi-asserted-by":"crossref","first-page":"175","DOI":"10.1007\/s10851-006-9798-2","volume":"27","author":"K.J. Batenburg","year":"2007","unstructured":"Batenburg, K.J.: A network flow algorithm for reconstructing binary images from discrete X-rays. J. Math. Imaging Vis. 27, 175\u2013191 (2007)","journal-title":"J. Math. Imaging Vis."},{"key":"465_CR6","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1007\/s10851-007-0053-2","volume":"30","author":"K.J. Batenburg","year":"2008","unstructured":"Batenburg, K.J.: A network flow algorithm for reconstructing binary images from continuous X-rays. J. Math. Imaging Vis. 30, 231\u2013248 (2008)","journal-title":"J. Math. Imaging Vis."},{"key":"465_CR7","doi-asserted-by":"crossref","first-page":"438","DOI":"10.1016\/j.dam.2008.05.033","volume":"157","author":"K.J. Batenburg","year":"2009","unstructured":"Batenburg, K.J., Sijbers, J.: Generic iterative subset algorithms for discrete tomography. Discrete Appl. Math. 157, 438\u2013451 (2009)","journal-title":"Discrete Appl. Math."},{"key":"465_CR8","doi-asserted-by":"crossref","first-page":"96","DOI":"10.1109\/83.210869","volume":"2","author":"C.L. Byrne","year":"1993","unstructured":"Byrne, C.L.: Iterative image reconstruction algorithms based on cross-entropy minimization. IEEE Trans. Image Process. 2, 96\u2013103 (1993)","journal-title":"IEEE Trans. Image Process."},{"key":"465_CR9","first-page":"226","volume":"4","author":"C.L. Byrne","year":"1995","unstructured":"Byrne, C.L.: Erratum and addendum to \u2018Iterative image reconstruction algorithms based on cross-entropy minimization\u2019. IEEE Trans. Image Process. 4, 226\u2013227 (1995)","journal-title":"IEEE Trans. Image Process."},{"key":"465_CR10","doi-asserted-by":"crossref","first-page":"792","DOI":"10.1109\/83.499919","volume":"5","author":"C.L. Byrne","year":"1996","unstructured":"Byrne, C.L.: Block-iterative methods for image reconstruction from projections. IEEE Trans. Image Process. 5, 792\u2013794 (1996)","journal-title":"IEEE Trans. Image Process."},{"key":"465_CR11","doi-asserted-by":"crossref","first-page":"1455","DOI":"10.1088\/0266-5611\/14\/6\/006","volume":"14","author":"C.L. Byrne","year":"1998","unstructured":"Byrne, C.L.: Iterative algorithms for deblurring and deconvolution with constraints. Inverse Probl. 14, 1455\u20131467 (1998)","journal-title":"Inverse Probl."},{"key":"465_CR12","doi-asserted-by":"crossref","first-page":"489","DOI":"10.1109\/TIT.2005.862083","volume":"52","author":"E.J. Cand\u00e8s","year":"2006","unstructured":"Cand\u00e8s, E.J., Romberg, J., Tao, T.: Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information. IEEE Trans. Inf. Theory 52, 489\u2013509 (2006)","journal-title":"IEEE Trans. Inf. Theory"},{"key":"465_CR13","series-title":"LNCS","first-page":"29","volume-title":"IPMI\u201999","author":"B.M. Carvalho","year":"1999","unstructured":"Carvalho, B.M., Herman, G.T., Matej, S., Salzberg, C., Vardi, E.: Binary tomography for triplane cardiography. In: Kuba, A., et al. (eds.) IPMI\u201999. LNCS, vol. 1613, pp. 29\u201341. Springer, Berlin (1999)"},{"key":"465_CR14","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1016\/S0024-3795(01)00470-0","volume":"339","author":"Y. Censor","year":"2001","unstructured":"Censor, Y.: Binary steering in discrete tomography reconstruction with sequential and simultaneous iterative algorithms. Linear Algebra Appl. 339, 111\u2013124 (2001)","journal-title":"Linear Algebra Appl."},{"key":"465_CR15","doi-asserted-by":"crossref","first-page":"1470","DOI":"10.1214\/aoms\/1177692379","volume":"43","author":"J.N. Darroch","year":"1972","unstructured":"Darroch, J.N., Ratcliff, D.: Generalized iterative scaling for log linear models. Ann. Math. Stat. 43, 1470\u20131480 (1972)","journal-title":"Ann. Math. Stat."},{"key":"465_CR16","unstructured":"Donoho, D.L.: Neighborly polytopes and sparse solution of underdetermined linear equations. Technical Report, Department of Statistics, Stanford University (2004)"},{"key":"465_CR17","doi-asserted-by":"crossref","first-page":"522","DOI":"10.1007\/s00454-009-9221-z","volume":"43","author":"D.L. Donoho","year":"2010","unstructured":"Donoho, D.L., Tanner, J.: Counting the faces of randomly-projected hypercubes and orthants with applications. Discrete Comput. Geom. 43, 522\u2013541 (2010)","journal-title":"Discrete Comput. Geom."},{"key":"465_CR18","doi-asserted-by":"crossref","first-page":"913","DOI":"10.1109\/JPROC.2010.2045630","volume":"98","author":"D.L. Donoho","year":"2010","unstructured":"Donoho, D.L., Tanner, J.: Precise undersampling theorems. Proc. IEEE 98, 913\u2013924 (2010)","journal-title":"Proc. IEEE"},{"key":"465_CR19","doi-asserted-by":"crossref","first-page":"933","DOI":"10.1007\/s00348-006-0212-z","volume":"41","author":"G.E. Elsinga","year":"2006","unstructured":"Elsinga, G.E., Scarano, F., Wieneke, B., van Oudheusden, B.W.: Tomographic particle image velocimetry. Exp. Fluids 41, 933\u2013947 (2006)","journal-title":"Exp. Fluids"},{"key":"465_CR20","doi-asserted-by":"crossref","first-page":"39","DOI":"10.1016\/S0166-218X(96)00083-2","volume":"75","author":"P. Fishburn","year":"1997","unstructured":"Fishburn, P., Schwander, P., Shepp, L., Vanderbei, R.: The discrete Radon transform and its approximate inversion via linear programming. Discrete Appl. Math. 75, 39\u201361 (1997)","journal-title":"Discrete Appl. Math."},{"key":"465_CR21","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9781107341029","volume-title":"Geometric Tomography","author":"R.J. Gardner","year":"2006","unstructured":"Gardner, R.J.: Geometric Tomography. Cambridge University Press, New York (2006)"},{"key":"465_CR22","doi-asserted-by":"crossref","first-page":"2271","DOI":"10.1090\/S0002-9947-97-01741-8","volume":"349","author":"R.J. Gardner","year":"1997","unstructured":"Gardner, R.J., Gritzmann, P.: Discrete tomography: determination of finite sets by X-rays. Trans. Am. Math. Soc. 349, 2271\u20132295 (1997)","journal-title":"Trans. Am. Math. Soc."},{"key":"465_CR23","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1016\/S0012-365X(98)00347-1","volume":"202","author":"R.J. Gardner","year":"1999","unstructured":"Gardner, R.J., Gritzmann, P., Prangenberg, D.: On the computational complexity of reconstructing lattice sets from their X-rays. Discrete Math. 202, 45\u201371 (1999)","journal-title":"Discrete Math."},{"key":"465_CR24","doi-asserted-by":"crossref","DOI":"10.1088\/0266-5611\/29\/3\/035003","volume":"29","author":"E. Gouillart","year":"2013","unstructured":"Gouillart, E., Krzakala, F., Mezard, M., Zdeborov\u00e1, L.: Belief propagation reconstruction for discrete tomography. Inverse Probl. 29, 035003 (2013)","journal-title":"Inverse Probl."},{"key":"465_CR25","doi-asserted-by":"crossref","first-page":"522","DOI":"10.1137\/S105262349935726X","volume":"11","author":"P. Gritzmann","year":"2000","unstructured":"Gritzmann, P., de Vries, S., Wiegelmann, M.: Approximating binary images from discrete X-rays. SIAM J. Optim. 11, 522\u2013546 (2000)","journal-title":"SIAM J. Optim."},{"key":"465_CR26","volume-title":"Discrete Tomography: Foundations, Algorithms and Applications","year":"1999","unstructured":"Herman, G.T., Kuba, A. (eds.): Discrete Tomography: Foundations, Algorithms and Applications. Bikh\u00e4user, Boston (1999)"},{"key":"465_CR27","volume-title":"Advances in Discrete Tomography and Its Applications","year":"2007","unstructured":"Herman, G.T., Kuba, A. (eds.): Advances in Discrete Tomography and Its Applications. Bikh\u00e4user, Basel (2007)"},{"key":"465_CR28","doi-asserted-by":"crossref","first-page":"273","DOI":"10.1016\/0010-4825(76)90066-4","volume":"6","author":"G.T. Herman","year":"1976","unstructured":"Herman, G.T., Lent, A.: Iterative reconstruction algorithms. Comput. Biol. Med. 6, 273\u2013294 (1976)","journal-title":"Comput. Biol. Med."},{"key":"465_CR29","doi-asserted-by":"crossref","DOI":"10.1137\/1.9780898719277","volume-title":"Principles of Computerized Tomographic Imaging","author":"A.C. Kak","year":"2001","unstructured":"Kak, A.C., Slaney, M.: Principles of Computerized Tomographic Imaging. SIAM, Philadelphia (2001)"},{"key":"465_CR30","volume-title":"Advances in Discrete Tomography and Its Applications","author":"H.Y. Liao","year":"2007","unstructured":"Liao, H.Y., Herman, G.T.: Direct Image Reconstruction-Segmentation as Motivated by Electron Microscopy. In: Herman, G.T., Kuba, A. (eds.): Advances in Discrete Tomography and Its Applications. Bikh\u00e4user, Basel (2007)"},{"key":"465_CR31","doi-asserted-by":"crossref","first-page":"426","DOI":"10.1145\/276304.276342","volume-title":"ACM SIGMOD","author":"G.S. Manku","year":"1998","unstructured":"Manku, G.S., Rajagopalan, S., Lindsay, B.G.: Approximate medians and other quantiles in one pass and with limited memory. In: ACM SIGMOD, vol. 12, pp. 426\u2013435 (1998)"},{"key":"465_CR32","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1016\/0010-4825(76)90064-0","volume":"6","author":"R.M. Mersereau","year":"1976","unstructured":"Mersereau, R.M.: Direct Fourier transform techniques in 3-D image reconstruction. Comput. Biol. Med. 6, 247\u2013258 (1976)","journal-title":"Comput. Biol. Med."},{"key":"465_CR33","doi-asserted-by":"crossref","first-page":"1035","DOI":"10.1137\/120868281","volume":"6","author":"D. Needell","year":"2013","unstructured":"Needell, D., Ward, R.: Stable image reconstruction using total variation minimization. SIAM J. Imaging Sci. 6, 1035\u20131058 (2013)","journal-title":"SIAM J. Imaging Sci."},{"key":"465_CR34","series-title":"Nucl. Med.","volume-title":"Iterative Separation of Sections in Tomographic Scintigrams","author":"P. Schmidlin","year":"1972","unstructured":"Schmidlin, P.: Iterative Separation of Sections in Tomographic Scintigrams. Nucl. Med., vol. 15. Schattauer, Stuttgart (1972)"},{"key":"465_CR35","doi-asserted-by":"crossref","first-page":"4299","DOI":"10.1109\/TIT.2009.2025528","volume":"55","author":"S. Sina Jafarpour","year":"2009","unstructured":"Sina Jafarpour, S., Xu, W., Hassibi, B., Calderbank, A.R.: Efficient and robust compressed sensing using optimized expander graphs. IEEE Trans. Inf. Theory 55, 4299\u20134308 (2009)","journal-title":"IEEE Trans. Inf. Theory"},{"key":"465_CR36","doi-asserted-by":"crossref","first-page":"18","DOI":"10.1016\/0146-664X(82)90097-1","volume":"18","author":"C.H. Slump","year":"1982","unstructured":"Slump, C.H., Gerbrands, J.J.: A network flow approach to reconstruction of the left ventricle from two projections. Comput. Graph. Image Process. 18, 18\u201336 (1982)","journal-title":"Comput. Graph. Image Process."},{"key":"465_CR37","series-title":"Lect. Notes in Comput. Sci.","doi-asserted-by":"crossref","first-page":"242","DOI":"10.1007\/978-3-642-12712-0_22","volume-title":"CompIMAGE 2010","author":"L. Varga","year":"2010","unstructured":"Varga, L., Bal\u00e1zs, P., Nagy, A.: Direction-dependency of a binary tomographic reconstruction algorithm. In: Barneva, R.P., et al. (eds.) CompIMAGE 2010. Lect. Notes in Comput. Sci., vol.\u00a06026, pp. 242\u2013253 (2010)"},{"key":"465_CR38","doi-asserted-by":"crossref","unstructured":"Weber, S., Schn\u00f6rr, C., Hornegger, J.: A linear programming relaxation for binary tomography with smoothness priors. Electron. Notes Discrete Math. 12 (2003)","DOI":"10.1016\/S1571-0653(04)00490-1"},{"key":"465_CR39","first-page":"146","volume-title":"Lect. Notes in Comput. Sci.","author":"S. Weber","year":"2006","unstructured":"Weber, S., Nagy, A., Sch\u00fcle, T., Schn\u00f6rr, C., Kuba, A.: A benchmark evaluation of large-scale optimization approaches to binary tomography. In: Kuba, A., Ny\u00fal, L.G., Pal\u00e1gyi, K. (eds.) Lect. Notes in Comput. Sci., vol. 4245, pp. 146\u2013156 (2006)"},{"key":"465_CR40","doi-asserted-by":"crossref","unstructured":"Zang, C.: Private communication (2011)","DOI":"10.1007\/978-3-642-03296-7"}],"container-title":["Journal of Mathematical Imaging and Vision"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10851-013-0465-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10851-013-0465-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10851-013-0465-0","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,7,24]],"date-time":"2019-07-24T04:57:33Z","timestamp":1563944253000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10851-013-0465-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,9,18]]},"references-count":40,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2014,6]]}},"alternative-id":["465"],"URL":"https:\/\/doi.org\/10.1007\/s10851-013-0465-0","relation":{},"ISSN":["0924-9907","1573-7683"],"issn-type":[{"value":"0924-9907","type":"print"},{"value":"1573-7683","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,9,18]]}}}