Skip to main content
Log in

Speeding Up Image Reconstruction Methods in Coded Mask γ Cameras Using Neural Networks: Application to the EM Algorithm

  • Published:
Experimental Astronomy Aims and scope Submit manuscript

Abstract

When using γ-ray coded-mask cameras, one does not get a direct image as in classical optical cameras but the correlation of the mask response with the source. Therefore the data must be mathematically treated in order to reconstruct the original sky sources. Generally this reconstruction is based on linear methods, such as correlating the detector plane with a reconstruction array, or non-linear ones such as iterative or maximization methods (i.e. the EM algorithm). The latter have a better performance but they increase the computational complexity by taking a lot of time to reconstruct an image. Here we present a method for speeding up such kind of algorithms by making use of a neural network with a back-propagation learning rule.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Ballesteros, F. J., et al.: 1998, The EM imaging reconstruction method in ã-ray astronomy, Nucl. Inst. and Meth. B 145.

  • Ballesteros, F. J.: 1992, Development of imaging techniques in gamma-ray astronomy using coded mask systems. Application to the Telescope LEGRI, Ph.D. Thesis, University of Valencia, ISBN 84–370–3645–3.

  • Fenimore, E. E. and Cannon, T. M.: 1981, Uniformly redundant arrays: digital reconstruction methods, Appl. Opt. 20, 1858.

    Article  ADS  Google Scholar 

  • Gottesman, S. R. and Fenimore, E. E.: 1989, New family of binary arrays for coded aperture imaging, Appl. Opt. 28, 4344.

    Article  ADS  Google Scholar 

  • Hammersley, A. P.: 1986, The reconstruction of coded mask under conditions realistic to X-ray astronomy observations, Ph.D. Thesis, University of Birminghan.

  • Hammersley, A. P., et al.: 1992, Reconstruction of images from a coded-aperture box camera, Nucl. Inst. and Meth. A 311, 585.

    Article  ADS  Google Scholar 

  • Haykin, S.: 1998, Neural Networks: A Comprehensive Foundation, Mac-Millan.

  • Lavigne, J. M., Jean, P., Kandel, B., Borrel, V., Roques, J. P., Lichti, G., Schönfelder, V., Diehl, R., Georgii, R., Kirchner, T., Durouchoux, P., Cordier, B., Diallo, N., Sánchez, F., Payne, B., Leleux, P., Caraveo, P., Teegarden, B., Matteson, J., Slassi-Sennou, S., Skinner, G. K. and Connell, P. H.: 1998, The INTEGRAL experiment, Nucl. Physics (Suppl.) B 60, 69.

    Article  ADS  Google Scholar 

  • LeCun, Y.: 1985, Une procedure d'apprentissage pour reseau a seuil assymetrique, Proc. Cognitiva 85, 599.

    Google Scholar 

  • Ohyama, N., Honda, T., Tsujiuchi, J., Matumoto, T., Iinuma, T. A. and Ishimatsu, K.: 1983, Advanced coded-aperture imaging-system for nuclear-medicine, Applied Optics 22, 3555.

    Article  ADS  Google Scholar 

  • Pedersen, T. Sunn and Granetz, R. S.: 1984, Edge X-ray imaging measurements of plasma edge in Alcator, Review of Scientific Instruments 70 (No. 1 January), 586.

    Article  ADS  Google Scholar 

  • Ponman, T. J.: 1984, ‘Maximum Entropy Methods', Nucl. Inst. and Meth. 72, 221.

    Google Scholar 

  • Reglero, V., et al.: 1996, in 'The Transparent Universe', 16–20 September 1996, St. Malo, France, p. 343.

  • Ress, D., Bell, P. M. and Bradley, D. K.: 1993, A time-resolved X-ray ring coded-aperture microscope for inertial confinement fusion aplications, Re. Sci. Instrum. 64, 1404.

    Article  ADS  Google Scholar 

  • Roberts, A., Ballesteros, F. et al.: 1998, in 'Small Satellite Systems and Services', 14–18 September 1998, Antibes - Juan Les Pins, France.

    Google Scholar 

  • Rumelhart, D. E., Hinton, D. E. and Williams, R. J.: 1986, Parallel Distributed Processing: Exploration in the Microstructure of Cognition, Cambridge, MA, MIT Press.

    Google Scholar 

  • Skinner, G. K.: 1988, X-Ray Imaging with Coded Mask, Scientific American, August.

  • Werbos, P. J.: 1974, Beyond Regression: New Tools for Prediction and Analysis in the Behavioral Sciences, Harvard University, Cambridge, MA.

    Google Scholar 

  • Zell, A., Mache, N., Sommer, T. and Korb, T. G.: 1991, The SNNS neural network simulator, in GWAI-91, 15. Fachtagung für künstliche Intelligenz, Informatik-Fachberichte 285, pp. 254–263, Springer-Verlag

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Enrique M. Muro.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ballesteros, F.J., Muro, E.M. & Luque, B. Speeding Up Image Reconstruction Methods in Coded Mask γ Cameras Using Neural Networks: Application to the EM Algorithm. Experimental Astronomy 11, 207–222 (2001). https://doi.org/10.1023/A:1013101111446

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1013101111446

Navigation