Abstract
In some cases of tomography we can only gain high resolution projections of the object with only partial coverage, whereas only a small part of the object – a given Region of Interest (ROI) – is fully covered by high resolution projections. In such cases the structures outside the region of interest cause artefacts to appear in the reconstructed image and degrade the image quality of the tomogram. We proposed three new iterative approaches for the accurate reconstruction of the ROI by combining a high resolution set of projections, with low resolution full field of view projections and prior information. We also evaluate our methods reconstructing software phantoms, and compare their performance to other methods in the literature.
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References
Batenburg, K.J., Sijbers, J.: Dart: a practical reconstruction algorithm for discrete tomography. IEEE Trans. Image Process. 20(9), 2542–2553 (2011)
Chen, L., et al.: Dual resolution cone beam breast CT: a feasibility study. Med. Phys. 36(9Part1), 4007–4014 (2009)
Chityala, R., Hoffmann, K.R., Rudin, S., Bednarek, D.R.: Region of interest (ROI) computed tomography (CT): comparison with full field of view (FFOV) and truncated CT for a human head phantom. In: Flynn, M.J. (ed.) Medical Imaging 2005: Physics of Medical Imaging. SPIE, April 2005
Cho, P.S., Rudd, A.D., Johnson, R.H.: Cone-beam CT from width-truncated projections. Comput. Med. Imaging Graph. 20(1), 49–57 (1996)
Chun, I.K., Cho, M.H., Lee, S.C., Cho, M.H., Lee, S.Y.: X-ray micro-tomography system for small-animal imaging with zoom-in imaging capability. Phys. Med. Biol. 49(17), 3889–3902 (2004)
Courdurier, M., Noo, F., Defrise, M., Kudo, H.: Solving the interior problem of computed tomography using a priori knowledge. Inverse Prob. 24(6), 065001 (2008)
Gentle, D.J., Spyrou, N.M.: Region of interest tomography in industrial applications. Nucl. Instrum. Methods Phys. Res. Sect. A Accel. Spectrometers Detect. Assoc. Equip. 299(1), 534–537 (1990)
Herman, G.T.: Fundamentals of Computerized Tomography: Image Reconstruction from Projections. Springer, Heidelberg (2009). https://doi.org/10.1007/978-1-84628-723-7
Huesman, R.H.: A new fast algorithm for the evaluation of regions of interest and statistical uncertainty in computed tomography. Phys. Med. Biol. 29(5), 543–552 (1984)
Kadrmas, D.J., Jaszczak, R.J., McCormick, J.W., Coleman, R.E.: Truncation artifact reduction in transmission CT for improved SPECT attenuation compensation. Phys. Med. Biol. 40(6), 1085–1104 (1995)
Kak, A.C., Slaney, M.: Principles of Computerized Tomographic Imaging. IEEE Press, New York (1999)
Kingma, D.P., Ba, J.: Adam: a method for stochastic optimization. arXiv:1412.6980 (2014)
Kudo, H., Courdurier, M., Noo, F., Defrise, M.: Tiny a prioriknowledge solves the interior problem in computed tomography. Phys. Med. Biol. 53(9), 2207–2231 (2008)
Kyrieleis, A., Titarenko, V., Ibison, M., Connolley, T., Withers, P.J.: Region-of-interest tomography using filtered backprojection: assessing the practical limits. J. Microsc. 241(1), 69–82 (2010)
Lauritsch, G., Bruder, H.: Technical report: head phantom. Technical report, Institute of Medical Physics, Friedrich-Alexander-University Erlangen-Nrnberg (2009)
Maaß, C., Knaup, M., Kachelrieß, M.: New approaches to region of interest computed tomography. Med. Phys. 38(6Part1), 2868–2878 (2011)
Patel, V., Hoffmann, K.R., Ionita, C.N., Keleshis, C., Bednarek, D.R., Rudin, S.: Rotational micro-CT using a clinical C-arm angiography gantry. Med. Phys. 35(10), 4757–4764 (2008)
Reimers, P., Kettschau, A., Goebbels, J.: Region-of-interest (ROI) mode in industrial X-ray computed tomography. NDT Int. 23(5), 255–261 (1990)
Sourbelle, K., Kachelriess, M., Kalender, W.A.: Reconstruction from truncated projections in CT using adaptive detruncation. Eur. Radiol. 15(5), 1008–1014 (2005)
van der Sluis, A., van der Vorst, H.A.: SIRT- and CG-type methods for the iterative solution of sparse linear least-squares problems. Linear Algebra Appl. 130, 257–303 (1990)
Weber, S., Nagy, A., Schüle, T., Schnörr, C., Kuba, A.: A benchmark evaluation of large-scale optimization approaches to binary tomography. In: Kuba, A., Nyúl, L.G., Palágyi, K. (eds.) DGCI 2006. LNCS, vol. 4245, pp. 146–156. Springer, Heidelberg (2006). https://doi.org/10.1007/11907350_13
Yu, H., Wang, G.: Compressed sensing based interior tomography. Phys. Med. Biol. 54(9), 2791–2805 (2009)
Yu, H., Yang, J., Jiang, M., Wang, G.: Supplemental analysis on compressed sensing based interior tomography. Phys. Med. Biol. 54(18), N425–N432 (2009)
Acknowledgement
This research was supported 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. We gratefully acknowledge the support of NVIDIA Corporation with the donation of a Tesla K40 GPU used for this research.
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Varga, L., Mokso, R. (2018). Iterative High Resolution Tomography from Combined High-Low Resolution Sinogram Pairs. In: Barneva, R., Brimkov, V., Tavares, J. (eds) Combinatorial Image Analysis. IWCIA 2018. Lecture Notes in Computer Science(), vol 11255. Springer, Cham. https://doi.org/10.1007/978-3-030-05288-1_12
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