Skip to main content

A Three-Dimentional Neural Network Based Approach to the Image Reconstruction from Projections Problem

  • Conference paper
Artificial Intelligence and Soft Computing (ICAISC 2010)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6113))

Included in the following conference series:

Abstract

This paper presents a novel neural network approach to the problem of image reconstruction from projections obtained by spiral tomography scanner. The reconstruction process is performed during the minimizing of the energy function in recurrent neural network. Our method is of a great practical use in reconstruction from discrete cone-beam projections. Experimental results show that the appropriately designed neural network is able to reconstruct an image with better quality than obtained from used commercial conventional algorithms.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Cichocki, A., Unbehauen, R., Lendl, M., Weinzierl, K.: Neural networks for linear inverse problems with incomplete data especially in application to signal and image reconstruction. Neurocomputing 8, 7–41 (1995)

    Article  MATH  Google Scholar 

  2. Cierniak, R.: Computed tomography. Academic Publishing House EXIT, Warsaw (2005)

    Google Scholar 

  3. Cierniak, R.: A new approach to image reconstruction from projections problem using a recurrent neural network. Applied Mathematics and Computer Science 18, 147–157 (2008)

    Article  MathSciNet  Google Scholar 

  4. Cierniak, R.: A new approach to tomographic image reconstruction using a Hopfield-type neural network. International Journal Artificial Intelligence in Medicine 43, 113–125 (2008)

    Article  Google Scholar 

  5. Cierniak, R.: A novel approach to image reconstruction from fan-beam projections using recurrent neural network. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2008. LNCS (LNAI), vol. 5097, pp. 752–761. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  6. Cierniak, R.: New neural network algorithm for image reconstruction from fan-beam projections. Elsevier Science: Neurocomputing 72, 3238–3244 (2009)

    Article  Google Scholar 

  7. Crawford, C.R., King, K.F.: Computer tomography scanning with simultaneous patient translation. Medical Physics 17, 967–981 (1990)

    Article  Google Scholar 

  8. Feldkamp, L.A., Davis, L.C., Kress, J.W.: Practical cone-beam algorithm. J. Optical Society of America 1(A), 612–619 (1984)

    Article  Google Scholar 

  9. Hopfield, J.J.: Neural networks and physical systems with emergent collective computational abilities. Proc. National Academy of Science USA 79, 2554–2558 (1982)

    Article  MathSciNet  Google Scholar 

  10. Ingman, D., Merlis, Y.: Maximum entropy signal reconstruction with neural networks. IEEE Trans. on Neural Networks 3, 195–201 (1992)

    Article  Google Scholar 

  11. Jain, A.K.: Fundamentals of Digital Image Processing. Prentice Hall, New Jersey (1989)

    MATH  Google Scholar 

  12. Kachelrieß, M., Schaller, S., Kalender, W.A.: Advanced single-slice rebinning in cone-beam spiral CT. Medical Physics 27, 754–773 (2000)

    Article  Google Scholar 

  13. Kak, A.C., Slanley, M.: Principles of Computerized Tomographic Imaging. IEEE Press, New York (1988)

    MATH  Google Scholar 

  14. Kerr, J.P., Bartlett, E.B.: A statistically tailored neural network approach to tomographic image reconstruction. Medical Physics 22, 601–610 (1995)

    Article  Google Scholar 

  15. Knoll, P., Mirzaei, S., Muellner, A., Leitha, T., Koriska, K., Koehn, H., Neumann, M.: An artificial neural net and error backpropagation to reconstruct single photon emission computerized tomography data. Medical Physics 26, 244–248 (1999)

    Article  Google Scholar 

  16. Lewitt, R.M.: Reconstruction algorithms: transform methods. Proceeding of the IEEE 71, 390–408 (1983)

    Article  Google Scholar 

  17. Luo, F.-L., Unbehauen, R.: Applied Neural Networks for Signal Processing. Cambridge University Press, Cambridge (1998)

    Google Scholar 

  18. Munlay, M.T., Floyd, C.E., Bowsher, J.E., Coleman, R.E.: An artificial neural network approach to quantitative single photon emission computed tomographic reconstruction with collimator, attenuation, and scatter compensation. Medical Physics 21, 1889–1899 (1994)

    Article  Google Scholar 

  19. Srinivasan, V., Han, Y.K., Ong, S.H.: Image reconstruction by a Hopfield neural network. Image and Vision Computing 11, 278–282 (1993)

    Article  Google Scholar 

  20. Wang, Y., Wahl, F.M.: Vector-entropy optimization-based neural-network approach to image reconstruction from projections. IEEE Transaction on Neural Networks 8, 1008–1014 (1997)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Cierniak, R. (2010). A Three-Dimentional Neural Network Based Approach to the Image Reconstruction from Projections Problem. In: Rutkowski, L., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds) Artificial Intelligence and Soft Computing. ICAISC 2010. Lecture Notes in Computer Science(), vol 6113. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13208-7_63

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-13208-7_63

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-13207-0

  • Online ISBN: 978-3-642-13208-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics