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Method and apparatus for reconstruction of the attenuation density of an object from X-ray projection image data

  • US 6,973,156 B2
  • Filed: 03/02/2004
  • Issued: 12/06/2005
  • Est. Priority Date: 01/13/2004
  • Status: Expired due to Fees
First Claim
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1. A method for reconstruction of the attenuation density of an object from X-ray projection image data values, comprising the steps of:

  • representing the attenuation density of said object by a sum of predetermined continuous harmonics with unknown coefficients;

    relating each of said X-ray projection image data values to an integral of the attenuation density of said object, and thus to a corresponding sum of sums of said predetermined continuous harmonics with unknown coefficients;

    determining said unknown coefficients from the relations between each of said X-ray projection image data values and the respective corresponding sum of sums of said predetermined continuous harmonics with unknown coefficients; and

    reconstructing the attenuation density of said object by said sum of predetermined continuous harmonics with said determined coefficients.

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