Abstract
Binary tomography focuses on the problem of reconstructing homogeneous objects from a small number of their projections. In many applications, incomplete projection data holds insufficient information for the correct reconstruction of the original object. In this paper, we provide an optimization based method to select the “most informative” projection set, using information of global uncertainty. Beside the projection data we assume no further knowledge of the image to be reconstructed. Still, we achieve approximately as accurate reconstruction results, as it is possible to gain with a former method that uses blueprint images to find the optimal set of projections. We give experimental results for validating our approach on artificial images of various structures.
This research was supported by the NKFIH OTKA [grant number K112998] and by the project “Integrated program for training new generation of scientists in the fields of computer science”, no EFOP-3.6.3-VEKOP-16-2017-0002. The project has been supported by the European Union and co-funded by the European Social Fund.
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References
Batenburg, K.J., Fortes, W., Hajdu, L., Tijdeman, R.: Bounds on the difference between reconstructions in binary tomography. In: Debled-Rennesson, I., Domenjoud, E., Kerautret, B., Even, P. (eds.) DGCI 2011. LNCS, vol. 6607, pp. 369–380. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-19867-0_31
Batenburg, K.J., Palenstijn, W.J., Balázs, P., Sijbers, J.: Dynamic angle selection in binary tomography. Comput. Vis. Image Underst. 117(4), 306–318 (2013)
Frost, A., Renners, E., Hotter, M., Ostermann, J.: Probabilistic evaluation of three-dimensional reconstructions from X-Ray images spanning a limited angle. SENSORS 13(1), 137–151 (2013)
Haque, M.A., Ahmad, M.O., Swamy, M.N.S., Hasan, M.K., Lee, S.Y.: Adaptive projection selection for computed tomography. IEEE Trans. Image Process. 22(12), 5085–5095 (2013)
Herman, G.T.: Image Reconstruction from Projections, Fundamentals of Computerized Tomography, 2nd edn. Springer, London (2009)
Kak, A.C., Slaney, M.: Principles of Computerized Tomographic Imaging. IEEE Press, New York (1999)
Nagy, A., Kuba, A.: Reconstruction of binary matrices from fan-beam projections. Acta Cybern. 17(2), 359–385 (2005)
Pudil, P., Novovicová, J., Kittler, J.: Floating search methods in feature selection. Pattern Recogn. Lett. 15(11), 1119–1125 (1994)
Varga, L., Balázs, P., Nagy, A.: Direction-dependency of binary tomographic reconstruction algorithms. Graph. Models 73(6), 365–375 (2011)
Varga, L., Balázs, P., Nagy, A.: Projection selection dependency in binary tomography. Acta Cybern. 20, 167–187 (2011)
Varga, L.G., Nyúl, L.G., Nagy, A., Balázs, P.: Local and global uncertainty in binary tomographic reconstruction. Comput. Vis. Image Underst. 129, 52–62 (2014)
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Lékó, G., Balázs, P., Varga, L.G. (2018). Projection Selection for Binary Tomographic Reconstruction Using Global Uncertainty. In: Campilho, A., Karray, F., ter Haar Romeny, B. (eds) Image Analysis and Recognition. ICIAR 2018. Lecture Notes in Computer Science(), vol 10882. Springer, Cham. https://doi.org/10.1007/978-3-319-93000-8_1
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DOI: https://doi.org/10.1007/978-3-319-93000-8_1
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