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Three-dimensional reconstruction of flat heritage objects based on Compton scattering tomography.

Abstract : Three-dimensional characterization of flat ancient material objects has remained a challenging activity to accomplish by conventional X-ray tomography methods due to their anisotropic morphology and flattened geometry.To overcome the limitations of such methodologies, an imaging modality based on Compton scattering is studied in this work. Classical X-ray tomography treats Compton scattering data as noise in the image formation process, while in Compton scattering tomography the conditions are set such that Compton data become the principal image contrasting agent. Under these conditions, we are able to avoid relative rotations between the sample and the imaging setup. Mathematically this problem is addressed by means of the conical Radon transform. A model of the direct problem is presented where the output of the system is the spectral image obtained from an input object. The inverse problem is addressed to estimate the 3D distribution of the electronic density of the input object from the spectral image. The feasibility of this methodology is supported by numerical simulations.
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Submitted on : Wednesday, September 26, 2018 - 2:59:16 PM
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  • HAL Id : tel-01881999, version 1

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Patricio Guerrero Prado. Three-dimensional reconstruction of flat heritage objects based on Compton scattering tomography.. Mathematical Physics [math-ph]. Université Paris-Saclay, 2018. English. ⟨NNT : 2018SACLV035⟩. ⟨tel-01881999⟩

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