An analytical iterative statistical algorithm for image reconstruction from projections

Bouman, C.A. and Sauer, K.D. (1996). A unified approach to statistical tomography using coordinate descent optimization, IEEE Transactions on Image Processing 5(3): 480-492.10.1109/83.49132118285133Search in Google Scholar

Bruder, H., Kachelriess, M., Schaller, S., Stierstorfer, K. and Flohr, T. (2000). Single-slice rebinning reconstruction in spiral cone-beam computed tomography, IEEE Transactions on Medical Imaging 9(9): 873-887.10.1109/42.88783611127602Search in Google Scholar

Cierniak, R. (2006). A novel approach to image reconstruction from projections using Hopfield-type neural network, in L. Rutkowski, R. Tadeusiewicz, L.A. Zadeh and J. ˙Zurada (Eds.), Artificial Intelligence and Soft Computing, Lecture Notes in Artificial Intelligence Vol. 4029, Springer-Verlag, Berlin/Heidelberg, pp. 890-898.10.1007/11785231_93Search in Google Scholar

Cierniak, R. (2008a). A new approach to image reconstruction from projections using a recurrent neural network, Artificial Intelligence in Medicine 43(2): 113-125.10.1016/j.artmed.2008.03.00318502625Search in Google Scholar

Cierniak, R. (2008b). A new approach to image reconstruction from projections problem using a recurrent neural network, International Journal of Applied Mathematics and Computer Science 18(2): 147-157, DOI: 10.2478/v10006-008-0014-y.10.2478/v10006-008-0014-ySearch in Google Scholar

Cierniak, R. (2009). New neural network algorithm for image reconstruction from fan-beam projections, Neurocomputing 72(13-15): 3238-3244.10.1016/j.neucom.2009.02.005Search in Google Scholar

Cierniak, R. (2010). A three-dimensional neural network based approach to the image reconstruction from projections problem, in L. Rutkowski, R. Scherer, R. Tadeusiewicz, L.A. Zadeh and J. ˙Zurada (Eds.), Artificial Intelligence and Soft Computing, Lecture Notes in Artificial Intelligence, Vol. 6113, Springer-Verlag, Berlin/Heidelberg, pp. 505-514.Search in Google Scholar

Cierniak, R. (2011). Neural network algorithm for image reconstruction using the grid-friendly projections, Australasian Physical & Engineering Sciences in Medicine 34(3): 375-389.10.1007/s13246-011-0089-x318327621814824Search in Google Scholar

DeMan, B. and Basu, S. (2004). Distance-driven projection and backprojection in three dimensions, Physics in Medicine and Biology 49(11): 2463-2475.10.1088/0031-9155/49/11/02415248590Search in Google Scholar

Jain, A.K. (1989). Fundamentals of Digitals Image Processing, Prentice-Hall, Englewood Cliffs, NJ.Search in Google Scholar

Kachelriess, M., Fuchs, T. and Schaller, S. (2001). Advanced single-slice rebinning for tilted spiral cone-beam CT, Medical Physics 31(6): 1033-1041.10.1118/1.137367511439473Search in Google Scholar

Kachelriess, M., Knaup, M. and Kalender, W.A. (2004). Extended parallel backprojection for standard three-dimensional and phase-correlated four-dimensional axial and spiral cone-beam CT with arbitrary pitch, arbitrary cone-angle, and 100% dose usage, Medical Physics 31(6): 1623-1641.10.1118/1.175556915259667Search in Google Scholar

Kachelriess, M., Schaller, S. and Kalender, W.A. (2000). Advanced single-slice rebinning in cone-beam spiral CT, Medical Physics 27(4): 754-773.10.1118/1.59893810798698Search in Google Scholar

Kaczmarz, S. (1937). Angenaeherte aufloesung von systemen linearer gleichungen, Bulletin International de l’Académie Polonaise des Sciences et des Lettres 35: 355-357.Search in Google Scholar

Lewitt, R.M. (1983). Reconstruction algorithms: Transform methods, Proceedings of the IEEE 71(3): 390-408.10.1109/PROC.1983.12597Search in Google Scholar

Noo, F., Defrise, M. and Clackdoyle, R. (1999). Single-slice rebinning method for helical cone-beam CT, Physics in Medicine and Biology 44(2): 561-570.10.1088/0031-9155/44/2/01910070801Search in Google Scholar

Ren, Q., Dewan, S.K., Li,M., Li, J., Mao, D.,Wang, Z. and Hua, Y. (2012). Comparison of adaptive statistical iterative and filtered back projection reconstruction techniques in brain CT, European Journal of Radiology 81(10): 2597-2601.10.1016/j.ejrad.2011.12.04122304977Search in Google Scholar

Sauer, K. and Bouman, C. (1992). Bayesian estimation of transmission tomograms using segmentation based optimization, IEEE Transactions on Nuclear Science 39(4): 1144-1152.10.1109/23.159774Search in Google Scholar

Sauer, K.D. and Bouman, C.A. (1993). A local update strategy for iterative reconstruction from projections, IEEE Transactions on Signal Processing 41(3): 480-492.10.1109/78.193196Search in Google Scholar

Shepp, L.A. and Logan, B.F. (1974). The Fourier reconstruction of a head section, IEEE Transactions on Nuclear Science NS-21: 21-43.10.1109/TNS.1974.6499235Search in Google Scholar

Silva, A.C., Lawder, H.J., Hara, A., Kujak, J. and Pavlicek, W. (2010). Innovations in CT dose reduction strategy: Application of the adaptive statistical iterative reconstruction algorithm, American Journal of Roentgenology 194(1): 191-199.10.2214/AJR.09.295320028923Search in Google Scholar

Thibault, J.B., Sauer, K.D., Bouman, C.A. and Hsieh, J. (2007). A three-dimensional statistical approach to improved image quality for multislice helical CT, Medical Physics 34(11): 4526-4544.10.1118/1.278949918072519Search in Google Scholar

Xu, J. and Tsui, B.M.W. (2009). Electronic noise modeling in statistical iterative reconstruction, IEEE Transactions on Image Processing 18(6): 1228-1238.10.1109/TIP.2009.2017139310707019398410Search in Google Scholar

Yanagawa, M., Honda, O., Yoshida, S., Kikuyama, A., Inoue, A., Sumikawa, H., Koyama, M. and Tomiyama, N. (2010). Adaptive statistical iterative reconstruction technique for pulmonary CT: Image quality of the cadeveric lung on standard- and reduced-dose CT, Academic Radiology 17(10): 1259-1266.10.1016/j.acra.2010.05.01420634106Search in Google Scholar

Zhou, Y., Thibault, J.B., Bouman, C.A., Sauer, K.D. and Hsieh, J. (2011). Fast model-based x-ray CT reconstruction using spatially non-homogeneous ICD optimization, IEEE Transactions on Image Processing 20(1): 161-175. 10.1109/TIP.2010.205881120643609Search in Google Scholar