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arXiv · 1501.07385

Tomography: mathematical aspects and applications

Paolo Facchi·Marilena Ligabò·Sergio Solimini
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Abstract

In this article we present a review of the Radon transform and the instability of the tomographic reconstruction process. We show some new mathematical results in tomography obtained by a variational formulation of the reconstruction problem based on the minimization of a Mumford-Shah type functional. Finally, we exhibit a physical interpretation of this new technique and discuss some possible generalizations.

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Paolo Facchi, Marilena Ligabò, Sergio Solimini. 2015-01-29. Tomography: mathematical aspects and applications. https://doi.org/10.1088/0031-8949%2F90%2F7%2F074007

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