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Application of the topological gradient method to tomography

Abstract : A new method for parallel beam tomography is proposed. This method is based on the topological gradient approach. The use of the topological asymptotic analysis for detecting the main edges of the data allows us to filter the noise while inverting the Radon transform. Experimental results obtained on noisy data illustrate the efficiency of this promising approach in the case of Magnetic Resonance Imaging. We also study the sensitivity of the algorithm with respect to several regularization and weight parameters.
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D. Auroux, L. Jaafar-Belaid, B. Rjaibi. Application of the topological gradient method to tomography. Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, INRIA, 2010, 13, pp.91-104. ⟨hal-01286815⟩

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