Combining Radon transform and Electrical Capacitance Tomography for a $2d+1$ imaging device

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 th...

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Main Authors: Capdeboscq, Y, Mamigonians, H, Sulaimalebbe, A, Tshitoyan, V
Format: Journal article
Published: IOP Publishing 2018
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author Capdeboscq, Y
Mamigonians, H
Sulaimalebbe, A
Tshitoyan, V
author_facet Capdeboscq, Y
Mamigonians, H
Sulaimalebbe, A
Tshitoyan, V
author_sort Capdeboscq, Y
collection OXFORD
description 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.
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spelling oxford-uuid:d9dcb64d-7755-43ff-bb68-7b968f0215582022-03-27T08:59:02ZCombining Radon transform and Electrical Capacitance Tomography for a $2d+1$ imaging deviceJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:d9dcb64d-7755-43ff-bb68-7b968f021558Symplectic Elements at OxfordIOP Publishing2018Capdeboscq, YMamigonians, HSulaimalebbe, ATshitoyan, VThis 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.
spellingShingle Capdeboscq, Y
Mamigonians, H
Sulaimalebbe, A
Tshitoyan, V
Combining Radon transform and Electrical Capacitance Tomography for a $2d+1$ imaging device
title Combining Radon transform and Electrical Capacitance Tomography for a $2d+1$ imaging device
title_full Combining Radon transform and Electrical Capacitance Tomography for a $2d+1$ imaging device
title_fullStr Combining Radon transform and Electrical Capacitance Tomography for a $2d+1$ imaging device
title_full_unstemmed Combining Radon transform and Electrical Capacitance Tomography for a $2d+1$ imaging device
title_short Combining Radon transform and Electrical Capacitance Tomography for a $2d+1$ imaging device
title_sort combining radon transform and electrical capacitance tomography for a 2d 1 imaging device
work_keys_str_mv AT capdeboscqy combiningradontransformandelectricalcapacitancetomographyfora2d1imagingdevice
AT mamigoniansh combiningradontransformandelectricalcapacitancetomographyfora2d1imagingdevice
AT sulaimalebbea combiningradontransformandelectricalcapacitancetomographyfora2d1imagingdevice
AT tshitoyanv combiningradontransformandelectricalcapacitancetomographyfora2d1imagingdevice