Table of Contents Author Guidelines Submit a Manuscript
International Journal of Biomedical Imaging
Volume 2011 (2011), Article ID 913893, 15 pages
http://dx.doi.org/10.1155/2011/913893
Review Article

Scattered Radiation Emission Imaging: Principles and Applications

1Laboratoire Equipes Traitement de l'Information et Systèmes, CNRS UMR 8051/ENSEA, Université de Cergy-Pontoise, 95302 Cergy-Pontoise, France
2Laboratoire de Physique Théorique et Modélisation, CNRS UMR 8089, Université de Cergy-Pontoise, 95302 Cergy-Pontoise, France
3Facultad Regional Buenos Aires, Universidad Tecnológica Nacional, Mozart 2300, C1407IVT Buenos Aires, Argentina
4Division of Nuclear Medicine, Geneva University Hospital, 1211 Geneva 4, Switzerland
5Geneva Neuroscience Center, Geneva University, 1211 Geneva 4, Switzerland

Received 1 December 2010; Revised 8 March 2011; Accepted 10 April 2011

Academic Editor: Peter Bruyndonckx

Copyright © 2011 M. K. Nguyen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. H. Tuy, “Inversion formula for cone-beam reconstruction,” SIAM Journal on Applied Mathematics, vol. 43, no. 3, pp. 546–552, 1983. View at Google Scholar · View at Scopus
  2. S. Zhao, H. Yu, and G Wang, “A unified framework for exact cone-beam reconstruction formulas,” Medical Physics, vol. 32, no. 6, pp. 1712–1721, 2005. View at Publisher · View at Google Scholar · View at Scopus
  3. M. Wernick and J. Aarsvold, Emission Tomography: The Fundamentals of PET and SPECT, Academic Press, San Diego, Calif, USA, 2004.
  4. S. R. Cherry, J. A. Sorenson, and M. E. Phelps, Physics in Nuclear Medicine, Elsevier Health Sciences, Philadelphia, Pa, USA, 2004.
  5. P. Grangeat, La Tomographie, Hermès Science, Paris, France, 2006.
  6. H. Zaidi and K. F. Koral, “Scatter modelling and compensation in emission tomography,” European Journal of Nuclear Medicine and Molecular Imaging, vol. 31, no. 5, pp. 761–782, 2004. View at Google Scholar · View at Scopus
  7. P. G. Lale, “The examination of internal tissues, using gamma-ray scatter with a possible extension to megavoltage radiography,” Physics in Medicine and Biology, vol. 4, pp. 159–167, 1959. View at Google Scholar · View at Scopus
  8. M. Lenti, “A 3-D imaging device using Compton scattering off the body,” Nuclear Instruments and Methods in Physics Research A, vol. 588, no. 3, pp. 457–462, 2008. View at Publisher · View at Google Scholar · View at Scopus
  9. R. Guzzardi and G. Licitra, “Critical review of Compton imaging,” Critical Reviews in Biomedical Engineering, vol. 15, no. 3, pp. 237–268, 1988. View at Google Scholar · View at Scopus
  10. G. Harding, “Inelastic photon scattering: effects and applications in biomedical science and industry,” Radiation Physics and Chemistry, vol. 50, no. 1, pp. 91–111, 1997. View at Publisher · View at Google Scholar · View at Scopus
  11. S. J. Norton, “Compton scattering tomography,” Journal of Applied Physics, vol. 76, no. 4, pp. 2007–2015, 1994. View at Publisher · View at Google Scholar · View at Scopus
  12. E. M. A. Hussein, “Radiation scattering methods for nondestructive testing and imaging,” International Advances in Nondestructive Testing, vol. 14, pp. 301–321, 1989. View at Google Scholar
  13. S. R. Gautam, F. F. Hopkins, R. Klinksiek, and I. L. Morgan, “Compton interaction tomography I: feasibility studies for applications in earthquake engineering,” IEEE Transactions on Nuclear Science, vol. 30, no. 2, pp. 1680–1684, 1982. View at Google Scholar · View at Scopus
  14. R. W. Todd, J. Nightingale, and D. Everett, “A proposed γ camera,” Nature, vol. 251, no. 5471, pp. 132–134, 1974. View at Google Scholar · View at Scopus
  15. M. Singh, “An electronically collimated gamma camera for single photon emission computed tomography, part I: theoretical considerations and design criteria,” Medical Physics, vol. 10, no. 4, pp. 421–427, 1983. View at Publisher · View at Google Scholar · View at Scopus
  16. M. Singh and D. Doria, “Single photon imaging with electronic collimation,” IEEE Transactions on Nuclear Science, vol. 32, no. 1, pp. 843–847, 1984. View at Google Scholar · View at Scopus
  17. J. Gerl, “Gamma-ray imaging exploiting the Compton effect,” Nuclear Physics A, vol. 752, no. 1–4, pp. 688–695, 2005. View at Publisher · View at Google Scholar · View at Scopus
  18. A. Braem, M. Chamizo Llatas, E. Chesi et al., “Feasibility of a novel design of high resolution parallax-free compton enhanced PET scanner dedicated to brain research,” Physics in Medicine and Biology, vol. 49, no. 12, pp. 2547–2562, 2004. View at Publisher · View at Google Scholar · View at Scopus
  19. J. L. Delarbre, Imagerie d'mission gamma: nouvelles mthodes d'exploitation du rayonnement diffus, Ph.D. thesis, University of Cergy-Pontoise, Paris, France, 2005.
  20. M. K. Nguyen, T. T. Truong, C. Driol, and H. Zaidi, “On a novel approach to compton scattered emission imaging,” IEEE Transactions on Nuclear Science, vol. 56, no. 3, pp. 1430–1437, 2009. View at Publisher · View at Google Scholar · View at Scopus
  21. G. L. Zeng, G. T. Gullberg, B. M. W. Tsui, and J. A. Terry, “Three-dimensional iterative reconstruction algorithms with attenuation and geometric point response correction,” IEEE Transactions on Nuclear Science, vol. 38, no. 2, pp. 693–702, 1991. View at Publisher · View at Google Scholar · View at Scopus
  22. G. L. Zeng, R. Clack, and G. T. Gullberg, “Implementation of Tuy's cone-beam inversion formula,” Physics in Medicine and Biology, vol. 39, no. 3, pp. 493–507, 1994. View at Publisher · View at Google Scholar · View at Scopus
  23. D. J. Kadrmas, E. C. Frey, S. S. Karimi, and B. M. W. Tsui, “Fast implementations of reconstruction-based scatter compensation in fully 3D SPECT image reconstruction,” Physics in Medicine and Biology, vol. 43, no. 4, pp. 857–873, 1998. View at Publisher · View at Google Scholar · View at Scopus
  24. J. D. Pack, F. Noo, and R. Clackdoyle, “Cone-beam reconstruction using the backprojection of locally filtered projections,” IEEE Transactions on Medical Imaging, vol. 24, no. 1, pp. 70–85, 2005. View at Publisher · View at Google Scholar · View at Scopus
  25. H. H. Barrett and W. Swindell, Swindell Radiological Imaging, Academic Press, New York, NY, USA, 1981.
  26. C. E. Floyd Jr., R. J. Jaszczak, K. L. Greer, and R. E. Coleman, “Deconvolution of Compton scatter in SPECT,” Journal of Nuclear Medicine, vol. 26, no. 4, pp. 403–408, 1985. View at Google Scholar · View at Scopus
  27. D. L. Gunter, “Three-dimensional imaging utilizing energy discrimination II,” Journal of the Optical Society of America A, vol. 9, no. 6, pp. 903–923, 1992. View at Google Scholar · View at Scopus
  28. D. J. Kadrmas, E. C. Frey, and B. M. W. Tsui, “Analysis of the reconstructibility and noise properties of scattered photons in Tc SPECT,” Physics in Medicine and Biology, vol. 42, no. 12, pp. 2493–2516, 1997. View at Publisher · View at Google Scholar · View at Scopus
  29. M. K. Nguyen, C. Faye, L. Eglin, and T. T. Truong, “Apparent image formation by compton-scattered photons in gamma-ray imaging,” IEEE Signal Processing Letters, vol. 8, no. 9, pp. 248–251, 2001. View at Publisher · View at Google Scholar · View at Scopus
  30. L. Eglin, M. K. Nguyen, and C. Faye, “Restoration from a multi-energy scintigraphic image sequence in the Bayesian framework,” in Bayesian Inference and Maximum Entropy Methods in Science and Engineering, A. M. Djafari, Ed., pp. 513–520, American Institute of Physics, 2001. View at Google Scholar
  31. R. D. Evans, The Atomic Nucleus, McGraw-Hill, New York, NY, USA, 1955.
  32. M. K. Nguyen and T. T. Truong, “On an integral transform and its inverse in nuclear imaging,” Inverse Problems, vol. 18, no. 1, pp. 265–277, 2002. View at Publisher · View at Google Scholar · View at Scopus
  33. A. Hertle, “The identification problem for the constantly attenuated radon transform,” Mathematische Zeitschrift, vol. 197, no. 1, pp. 13–19, 1988. View at Publisher · View at Google Scholar · View at Scopus
  34. H. Zaidi, “Relevance of accurate Monte Carlo modeling in nuclear medical imaging,” Medical Physics, vol. 26, no. 4, pp. 574–608, 1999. View at Publisher · View at Google Scholar
  35. M. K. Nguyen, T. T. Truong, H. D. Bui, and J. L. Delarbre, “A novel inverse problem in γ-rays emission imaging,” Inverse Problems in Science and Engineering, vol. 12, no. 2, pp. 225–246, 2004. View at Google Scholar · View at Scopus
  36. A. E. Siegman, “Quasi-fast Hankel transform,” Optics Letters, vol. 1, no. 1, pp. 13–15, 1997. View at Google Scholar
  37. M. K. Nguyen, T. T. Truong, J. L. Delarbre, C. Roux, and H. Zaidi, “Novel approach to stationary transmission scanning using Compton scattered radiation,” Physics in Medicine and Biology, vol. 52, no. 15, pp. 4615–4632, 2007. View at Publisher · View at Google Scholar · View at Scopus
  38. C. Driol, M. K. Nguyen, and T. T. Truong, “Modeling and simulation results on high sensitivity scattered gamma-ray emission imaging,” Simulation Modelling Practice and Theory, vol. 16, no. 8, pp. 1067–1076, 2008. View at Publisher · View at Google Scholar · View at Scopus
  39. M. K. Nguyen, C. Driol, T. T. Truong, and H. Zaidi, “Towards a new concept for high sensitivity compton scatter emission imaging,” Journal of the European Optical Society, vol. 3, article 08010, Article ID 08010, 2008. View at Publisher · View at Google Scholar
  40. T. T. Truong, M. K. Nguyen, and H. Zaidi, “The mathematical foundations of 3D compton scatter emission imaging,” International Journal of Biomedical Imaging, vol. 2007, Article ID 92780, 2007. View at Publisher · View at Google Scholar · View at Scopus
  41. T. T. Truong and M. K. Nguyen, “On new V-line radon transforms in 2 and their inversion,” Journal of Physics A, vol. 44, Article ID 075206, 2011. View at Google Scholar
  42. M. Morvidone, M. K. Nguyen, T. T. Truong, and H. Zaidi, “On the V-line radon transform and its imaging applications,” International Journal of Biomedical Imaging, vol. 2010, Article ID 208179, 6 pages, 2010. View at Publisher · View at Google Scholar
  43. J. Lavoine, Transformation de Fourier des Pseudo-Fonctions avec Tables de Nouvelles Transformes, CNRS, Paris, France, 1963.