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D. Auroux ; L. Jaafar-Belaid ; B. Rjaibi - Application of the topological gradient method to tomography
arima:1939 - Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, September 30, 2010, Volume 13 - 2010 - Special issue TAMTAM'09 - https://doi.org/10.46298/arima.1939Application of the topological gradient method to tomographyArticle
Authors: D. Auroux 
1; L. Jaafar-Belaid 2; B. Rjaibi 2
- 1 Laboratoire Jean Alexandre Dieudonné [LJAD]
- 2 Laboratoire de Modélisation Mathématique et Numérique dans les Sciences de l'Ingénieur [Tunis]
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.
Source: HAL:hal-01286815v1
Volume: Volume 13 - 2010 - Special issue TAMTAM'09
Published on: September 30, 2010
Submitted on: April 1, 2010
Keywords: Topological asymptotic expansion, topological gradient, tomographic reconstruction, tomography, Radon transform,Développement asymptotique topologique,gradient topologique,reconstruction tomographique,tomographie,transformation de Radon,[INFO] Computer Science [cs],[MATH] Mathematics [math]
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