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A Novel Approach to Image Reconstruction from Discrete Projections Using Hopfield-Type Neural Network

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Artificial Intelligence and Soft Computing – ICAISC 2006 (ICAISC 2006)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4029))

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Abstract

Presented paper shows a novel approach to the problem of image reconstruction from projections using recursive Hopfield-type neural network. The reconstruction process is performed during the minimizing of the energy function in this network. Our method is of a great practical use in reconstruction from discrete parallel beam projections. Experimental results show that the appropriately designed neural network is able to reconstruct an image with better quality than obtained from conventional algorithms.

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References

  1. Frieden, B.R., Zoltani, C.R.: Maximum bounded entropy: application to tomographic reconstruction. Appl. Optics 24, 201–207 (1985)

    Article  Google Scholar 

  2. Jaene, B.: Digital Image Processing - Concepts, Algoritms and Scientific Applications. Springer, Heidelberg (1991)

    Google Scholar 

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

    MATH  Google Scholar 

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

    Article  Google Scholar 

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

    Google Scholar 

  6. Radon, J.: Ueber die Bestimmung von Functionen durch ihre Integralwerte Tangs gewisser Mannigfaltigkeiten. Berichte Saechsiche Akad. Wissenschaften, Math. Phys. Klass 69, 262–277 (1917)

    Google Scholar 

  7. Ramachandran, G.N., Lakshminarayanan, A.V.: Three-dimensional reconstruction from radiographs and electron micrographs: II. Application of convolutions instead of Fourier transforms. Proc. Nat. Acad. Sci. 68, 2236–2240 (1971)

    Article  MathSciNet  Google Scholar 

  8. 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 

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© 2006 Springer-Verlag Berlin Heidelberg

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Cierniak, R. (2006). A Novel Approach to Image Reconstruction from Discrete Projections Using Hopfield-Type Neural Network. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., Żurada, J.M. (eds) Artificial Intelligence and Soft Computing – ICAISC 2006. ICAISC 2006. Lecture Notes in Computer Science(), vol 4029. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11785231_93

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  • DOI: https://doi.org/10.1007/11785231_93

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-35748-3

  • Online ISBN: 978-3-540-35750-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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