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An analytical iterative statistical algorithm for image reconstruction from projections Cover

An analytical iterative statistical algorithm for image reconstruction from projections

By: Robert Cierniak  
Open Access
|Mar 2014

References

  1. 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): 480-492.10.1109/83.49132118285133
  2. 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): 873-887.10.1109/42.88783611127602
  3. 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_93
  4. 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.2008.03.00318502625
  5. 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-y
  6. Cierniak, R. (2009). New neural network algorithm for image reconstruction from fan-beam projections, Neurocomputing 72(13-15): 3238-3244.10.1016/j.neucom.2009.02.005
  7. 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.
  8. 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-x318327621814824
  9. DeMan, B. and Basu, S. (2004). Distance-driven projection and backprojection in three dimensions, Physics in Medicine and Biology 49(11): 2463-2475.10.1088/0031-9155/49/11/02415248590
  10. Jain, A.K. (1989). Fundamentals of Digitals Image Processing, Prentice-Hall, Englewood Cliffs, NJ.
  11. Kachelriess, M., Fuchs, T. and Schaller, S. (2001). Advanced single-slice rebinning for tilted spiral cone-beam CT, Medical Physics 31(6): 1033-1041.10.1118/1.137367511439473
  12. 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): 1623-1641.10.1118/1.175556915259667
  13. Kachelriess, M., Schaller, S. and Kalender, W.A. (2000). Advanced single-slice rebinning in cone-beam spiral CT, Medical Physics 27(4): 754-773.10.1118/1.59893810798698
  14. Kaczmarz, S. (1937). Angenaeherte aufloesung von systemen linearer gleichungen, Bulletin International de l’Académie Polonaise des Sciences et des Lettres 35: 355-357.
  15. Lewitt, R.M. (1983). Reconstruction algorithms: Transform methods, Proceedings of the IEEE 71(3): 390-408.10.1109/PROC.1983.12597
  16. Noo, F., Defrise, M. and Clackdoyle, R. (1999). Single-slice rebinning method for helical cone-beam CT, Physics in Medicine and Biology 44(2): 561-570.10.1088/0031-9155/44/2/01910070801
  17. 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.2011.12.04122304977
  18. Sauer, K. and Bouman, C. (1992). Bayesian estimation of transmission tomograms using segmentation based optimization, IEEE Transactions on Nuclear Science 39(4): 1144-1152.10.1109/23.159774
  19. Sauer, K.D. and Bouman, C.A. (1993). A local update strategy for iterative reconstruction from projections, IEEE Transactions on Signal Processing 41(3): 480-492.10.1109/78.193196
  20. 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.1974.6499235
  21. 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.09.295320028923
  22. 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): 4526-4544.10.1118/1.278949918072519
  23. 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.2009.2017139310707019398410
  24. 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.2010.05.01420634106
  25. 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.2010.205881120643609
DOI: https://doi.org/10.2478/amcs-2014-0001 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X
Language: English
Page range: 7 - 17
Published on: Mar 25, 2014
Published by: University of Zielona Góra
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2014 Robert Cierniak, published by University of Zielona Góra
This work is licensed under the Creative Commons License.