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A New Approach to Image Reconstruction from Projections Using a Recurrent Neural Network Cover

A New Approach to Image Reconstruction from Projections Using a Recurrent Neural Network

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Open Access
|Jun 2008

References

  1. Averbuch A., Coifman R.R., Donoho D.L., Israeli M. and Waldén J. (2001). A notion of Radon transform for data in a Cartesian grid, which is rapidly computable, algebraically exact, geometrically faithful and invertible,, Department of Statistics, Stanford University, USA.
  2. Censor Y. (1983). Finite series-expansion reconstruction methods,71(3): 409-419.
  3. Cichocki A., Unbehauen R., Lendl M. and Weinzierl K. (1995). Neural networks for linear inverse problems with incomplete data especially in application to signal and image reconstruction,8: 7-41.
  4. Cierniak R. and Rutkowski L. (2000). On image compression by competitive neural networks and optimal linear predictors,15(6): 559-565.
  5. Cierniak R. (2002). Image reconstruction from projection using unsupervised neural network,.
  6. Cierniak R. (2006). A novel approach to image reconstruction from projections using Hopfield-type neural network,Rutkowski L., Tadeusiewicz R., Zadeh L. A., Żurada J. (Eds.),, LNAI, Springer, Berlin, pp. 890-898.
  7. Cormack A.M. (1963). Representation of a function by its line integrals with some radiological application,34: 2722-2727.
  8. Gordon R., Bender R. and Herman G.T. (1970). Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and X-ray photography,29: 471-481.
  9. Hopfield J.J. (1982). Neural networks and physical systems with emergent collective computational abilities,79: 2554-2558.
  10. Ingman D. and Merlis Y. (1992). Maximum entropy signal reconstruction with neural networks,3: 195-201.
  11. Jaene B. (1991)., Springer, Berlin, Heidelberg.
  12. Jain A.K. (1989)., Prentice Hall, Englewood Cliffs, NJ.
  13. Kaczmarz S. (1937). Angeneaherte Aufloesung von Systemen Linearer Gleichungen,35: 355-357.
  14. Kak A.C. and Slanley M. (1988)., IEEE Press, New York.
  15. Kerr J.P. and Barlett E.B. (1995a). A statistically tailored neural network approach to tomographic image reconstruction,22: 601-610.
  16. Kerr J.P. and Barlett E.B. (1995b). Medical image processing utilizing neural networks trained on a massively parallel computer,25: 393-403.
  17. Kerr J.P. and Barlett E.B. (1995c). Neural network reconstruction of single-photon emission computed tomography images,8: 116-126.
  18. Kingston A. and Svalbe I. (2003). Mapping between digital and continuous projections via the discrete Radon transform in Fourier space,, Sydney, pp. 263-272.
  19. Knoll P., Mirzaei S., Muller A., Leitha T., Koriska K., Kohn H. and Neumann M. (1999). An artificial neural net and error backpropagation to reconstruct single photon emission computerized tomography data,26: 244-248.
  20. Lewitt R.M. (1983). Reconstruction algorithms: Transform methods,71(3): 390-408.
  21. Luo F.-L. and Unbehauen R. (1998)., Cambridge University Press, Cambridge, UK.
  22. Munllay M.T., Floyd C.E., Bowsher J.E. and Coleman R. E. (1994). An artificial neural network approach to quantitative single photon emission computed tomographic reconstruction with collimator, attenuation and scatter compensation,21: 1889-1899.
  23. Ramachandran G.N. and Lakshminarayanan A.V. (1971). Three-dimensional reconstruction from radiographs and electron micrographs: II. Application of convolutions instead of Fourier transforms,68: 2236-2240.
  24. Srinivasan V., Han Y.K. and Ong S.H. (1993). Image reconstruction by a Hopfield neural network,11(5): 278-282.
  25. Wang Y. and Wahl F.M. (1997). Vector-entropy optimization-based neural-network approach to image reconstruction from projections,8(5): 1008-1014.
DOI: https://doi.org/10.2478/v10006-008-0014-y | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X
Language: English
Page range: 147 - 157
Published on: Jun 16, 2008
Published by: University of Zielona Góra
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2008 Robert Cierniak, published by University of Zielona Góra
This work is licensed under the Creative Commons License.