Material Density Distribution of a Radial Symmetric Product from a Single X-Ray Radiograph

  • A. Notea
  • D. Pal
  • M. Deutsch
Part of the Review of Progress in Quantitative Nondestructive Evaluation book series


X-ray digital tomographic methods may be classified according to the number of projections and the angular coverage required to obtain the density distribution of the object under study. At one extremity stands computerized tomography which employs multiple projections and wide angular coverage (± π). At the other extremity stand reconstruction methods employing a single projection. As the number of projections decreases, the information provided for the reconstruction becomes more incomplete. The decrease in the information content may sometimes be compensated by the use of a priori knowledge about the product and thus alleviate to some extent the ill-posedness of the problem [l–4].


Single Projection Linear Attenuation Coefficient Gibbs Phenomenon Symmetric Object Reconstructed Profile 
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Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • A. Notea
    • 1
  • D. Pal
    • 1
  • M. Deutsch
    • 2
  1. 1.Quality Assurance and Reliability TechnionHaifaIsrael
  2. 2.Physics DepartmentBar-Ilan UniversityRamat-GanIsrael

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