CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2006, Vol. 23 ›› Issue (2): 144-150.

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A Conjugate Gradient Algorithm for Density Reconstruction in High-energy X-ray Radiography

XU Hai-bo, WEI Su-hua   

  1. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
  • Received:2004-11-18 Revised:2005-04-07 Online:2006-03-25 Published:2006-03-25

Abstract: A point spread function and a cost function are obtained with a physical analysis of the high-energy x-ray radiography. Taking the French Test Object model as an example, the conjugate gradient algorithm is applied to the density reconstruction in high-energy x-ray radiography, and the result is satisfactory. The algorithm starts at a simulation in radiography and searches for a maximum likelihood by comparing the simulated radiographs with the measured radiographs. To some extent, the algorithm overcomes the uncertainty in eliminating the blurting effects through a deconvolution process in reconstruction methods.

Key words: x-ray radiography, point spread function, cost function, conjugate gradient algorithm, density reconstruction

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