Combining radon transform and electrical capacitance tomography for a 2d+1 imaging device
| Autor: | Vahe Tshitoyan, Yves Capdeboscq, Aslam Sulaimalebbe, Hrand Mami Mamigonians |
|---|---|
| Přispěvatelé: | Laboratoire Jacques-Louis Lions (LJLL (UMR_7598)), Université Paris Diderot - Paris 7 (UPD7)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Google Inc [Mountain View], Research at Google |
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Permittivity
Surface (mathematics) Capacitive sensing 02 engineering and technology Electrical capacitance tomography 01 natural sciences Theoretical Computer Science Quality (physics) Optics FOS: Electrical engineering electronic engineering information engineering [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] Mathematical Physics Mathematics Radon transform business.industry Applied Mathematics Image and Video Processing (eess.IV) 010401 analytical chemistry Resolution (electron density) Experimental data Electrical Engineering and Systems Science - Image and Video Processing 021001 nanoscience & nanotechnology 0104 chemical sciences Computer Science Applications Signal Processing 0210 nano-technology business [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] |
| Zdroj: | Inverse Problems Inverse Problems, 2018, 34 (10), pp.104001, 14. ⟨10.1088/1361-6420/aad344⟩ |
| DOI: | 10.1088/1361-6420/aad344⟩ |
| Popis: | This paper describes a coplanar non invasive non destructive capacitive imaging device. We first introduce a mathematical model for its output, and discuss some of its theoretical capabilities. We show that the data obtained from this device can be interpreted as a weighted Radon transform of the electrical permittivity of the measured object near its surface. Image reconstructions from experimental data provide good surface resolution as well as short depth imaging, making the apparatus a $2d+1$ imager. The quality of the images leads us to expect that excellent results can be delivered by \emph{ad-hoc} optimized inversion formulas. There are also interesting, yet unexplored, theoretical questions on imaging that this sensor will allow to test. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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