On Analytical Solutions to Beam-Hardening
| Autor: | Gaël Rigaud |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Radon transform
business.industry Attenuation Feature extraction Microlocal analysis 01 natural sciences 030218 nuclear medicine & medical imaging 010309 optics 03 medical and health sciences 0302 clinical medicine 0103 physical sciences Computer vision Gravitational singularity Tomography Monochromatic color Artificial intelligence Electrical and Electronic Engineering Representation (mathematics) business Instrumentation Mathematics |
| Zdroj: | Sensing and Imaging. 18 |
| ISSN: | 1557-2072 1557-2064 |
| DOI: | 10.1007/s11220-016-0153-4 |
| Popis: | When polychromatic X-rays propagate through a material, for instance in computerized tomography (CT), low energy photons are more attenuated resulting in a “harder” beam. The beam-hardening phenomenon breaks the monochromatic radiation model based on the Radon transform giving rise to artifacts in CT reconstructions to the detriment of visual inspection and automated segmentation algorithms. We propose first a simplified analytic representation for the beam-hardening. Besides providing a general understanding of the phenomenon, this model proposes to invert the beam-hardening effect for homogeneous objects leading to classical monochromatic data. For heterogeneous objects, no analytical reconstruction of the density can be derived without more prior information. However, the beam-hardening is shown to be a smooth operation on the data and thus to preserve the encoding of the singularities of the attenuation map within the data. A microlocal analysis encourages the use of contour extraction methods to solve partially the beam-hardening effect even for heterogeneous objects. The application of both methods, exact analytical solution for homogeneous objects and feature extraction for heterogeneous ones, on real data demonstrates their relevancy and efficiency. |
| Databáze: | OpenAIRE |
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