Abel inversion using total variation regularization : applications

  title={Abel inversion using total variation regularization : applications},
  author={Thomas J. Asaki and Patrick Campbell and Rick Chartrand and Collin Powell and Kevin R. Vixie and Brendt Wohlberg},
We apply total-variation (TV) regularization methods to Abel inversion tomography. Inversions are performed using the fixed-point iteration method and the regularization parameter is chosen such that the resulting data fidelity approximates the known or estimated statistical character of the noisy data. Five one-dimensional (1D) examples illustrate the favorable characteristics of TV-regularized solutions: noise suppression and density discontinuity preservation. Experimental and simulated… CONTINUE READING


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