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Numerical Assessment of the Stability of Reconstruction Processes for Computed Tomography

Marechal, Pierre and Togane, D. and Celler, Anna and Borwein, Jonathan M. (1998) Numerical Assessment of the Stability of Reconstruction Processes for Computed Tomography. [Preprint]

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      Abstract

      This paper deals with the assessment of the stability of reconstruction methods for computed tomography, including Filtered Back Projection and `entropy-like' methods. For each of these methods, the influence of errors in the measured data on the reconstructed image is analyzed. A small perturbation of the data vector induces a perturbation of the reconstructed object which can be computed by means of the {\it sensitivity matrix}. Using appropriate matrix computation techniques, an upper bound on the size of the reconstruction error is determined, as well as the pattern of noise in the sinogram that will result in the largest reconstruction error and the standard deviation map in the object domain. Simulations will illustrate our analysis and demonstrate its utility in the interpretation of computed images and in the selection of reconstruction parameters.

      Item Type: Preprint
      Additional Information: pubdom FALSE
      Subjects: UNSPECIFIED
      Faculty: UNSPECIFIED
      Depositing User: Users 1 not found.
      Date Deposited: 25 Nov 2003
      Last Modified: 21 Apr 2010 11:13
      URI: https://docserver.carma.newcastle.edu.au/id/eprint/218

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