Rotating projection algorithm for computer tomography of discrete structures

  • Authors:
  • A. Grebennikov;J. G. Vázquez Luna;T. Valencia Perez;M. Najera Enriquez

  • Affiliations:
  • Faculty of Physical and Mathematical Sciences, Autonomous University of Puebla, Puebla, México;Faculty of Physical and Mathematical Sciences, Autonomous University of Puebla, Puebla, México;Faculty of Physical and Mathematical Sciences, Autonomous University of Puebla, Puebla, México;Faculty of Physical and Mathematical Sciences, Autonomous University of Puebla, Puebla, México

  • Venue:
  • WSEAS Transactions on Signal Processing
  • Year:
  • 2008

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Abstract

Traditional computer tomography requires scanning the object to obtain a lot of projections. Then the image reconstruction is realized on the base of some mathematical model that corresponds to the concrete physical field producing this tomography. For example, in the X-rays tomography the inversion of the Radon transform is used. It seems necessary for difficult structures and can be realized in sufficiently fast manner. We consider in this paper the situation, when the investigating object has the "Discrete Structure", so its reconstruction consists only in localization of some point-wise elements with different characteristic inside of the homogeneous (or quasi homogeneous) substance in the considered region. We propose for this case the Rotating Projection algorithm with a little number of scanning angles. This algorithm do not requires application of some inverse transforms. It simplifies the image reconstruction. Proposed approach is faster in its computer realization, gives possibility to reduce the time of the radiation treatment. The good properties of the developed algorithm are demonstrated on simulated numerical examples.