3D Compton scattering imaging: study of the spectrum and contour reconstruction

Rigaud, Gael

doi:10.48550/arxiv.1908.03066

Cited by 5 publications

(7 citation statements)

References 29 publications

(40 reference statements)

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“…For this sake, we follow the modeling in [4,21]: Let I 0 be the initial beam intensity, i.e. the number of photons emitted at s in the direction of a space element dx.…”

Section: First Order Scatteringmentioning

confidence: 99%

“…Focusing on the 2D case, this manuscript strives to extend the study from [21] by introducing operators that model the g i for i = 0, 1, 2. Due to the complexity of the model, we restrict to these first terms and approximate…”

Section: Introductionmentioning

confidence: 99%

“…2.3. The section ends by reviewing results from [21] on the mapping properties of the operators describing g 1 and g 2 in 2.4. These mapping properties induce the main idea of our algorithm, namely preprocessing the spectrum with a derivative with respect to the energy variable, hoping to cancel out smoother parts as much as possible.…”

Section: Introductionmentioning

confidence: 99%

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On multiple scattering in Compton scattering tomography and its impact on fan-beam CT

Kuger,

Rigaud

2020

Preprint

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The recent development of energy-resolving cameras opens the way to new types of applications and imaging systems. In this work, we consider computerized tomography (CT) with fan-beam geometry and equipped with such cameras. The measured radiation is then a function of the positions of the source and detectors and of the energy of the incoming photons. Due to the Compton effect, the variations in energy (or spectrum) of the measurement are modeled in terms of scattering events leading to the so-called Compton scattering tomography (CST). We propose an analysis of the spectral data in terms of modelling and mapping properties which results in a general reconstruction strategy. Thanks to the supplementary information given by the energy, this joint CT-CST scanner makes accurate reconstructions of characteristics of the sought-for object possible for very few source positions and a small number of detectors. The general reconstruction strategy is finally validated on synthetic data via a total variation iterative scheme. Also illustrative, this work motivates the potential of combining conventional CT and Compton scattering imaging (CSI) with various architectures in 2D and 3D.

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“…For this sake, we follow the modeling in [4,21]: Let I 0 be the initial beam intensity, i.e. the number of photons emitted at s in the direction of a space element dx.…”

Section: First Order Scatteringmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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On multiple scattering in Compton scattering tomography and its impact on fan-beam CT

Kuger,

Rigaud

2020

Preprint

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“…Moreover, multiple scattering is for the moment considered as noise in our model. A work [28] proposed recently a step further in this direction, with a model which integrates data acquired from second-order scattered data I 2 .…”

Section: Practical Additional Considerations For the Modelmentioning

confidence: 99%

“…Otherwise, an interesting work in [28] proposes a feature reconstruction algorithm that can be adapted to this modality.…”

Section: Improving Reconstruction Qualitymentioning

confidence: 99%

On the design of a CST system and its extension to a bi-imaging modality

Tarpau¹,

Cebeiro²,

Nguyen³

et al. 2020

Preprint

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In material testing applications, Computed Tomography is a well established imaging technique that allows the recovery of the attenuation map of an object. Conventional modalities exploit only primary radiation and although in the energy ranges used in industrial applications Compton scatter radiation is significant, it is removed from the measured data. On the contrary, Compton Scattering Tomography not only accounts for the Compton effect but also uses it to image material electronic density. Despite its promising applications, some aspects of Compton scattering tomography have not been studied so far and, since they are necessary for the design of a operational system, they need to be addressed.In this paper we analyze the effect of some physical influences regarding real detectors for the Circular Compton Scattering tomography, a system recently introduced by the authors. This is accomplished through the formulation of a new weighted Radon transform. In addition, we propose to adapt the acquired data with pre-processing steps so that they are suitable for reconstruction with a filtered back-projection type reconstruction algorithm, and thus, properly deal with missing data of real measurements. Finally, we introduce a bi-imaging configuration that allows recovering simultaneously the electronic density map of the object as well as its attenuation map.

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Compton scattering tomography in translational geometries

Webber

Miller

2020

Inverse Problems

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Here we present new L2 injectivity results for 2D and 3D Compton scattering tomography (CST) problems in translational geometries. The results are proven through the explicit inversion of a new toric section and apple Radon transform, which describe novel 2D and 3D acquisition geometries in CST. The geometry considered has potential applications in airport baggage screening and threat detection. We also present a generalization of our injectivity results in 3D to Radon transforms which describe the integrals of the charge density over the surfaces of revolution of a class of C1 curves.

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3D Compton scattering imaging: study of the spectrum and contour reconstruction

Cited by 5 publications

References 29 publications

On multiple scattering in Compton scattering tomography and its impact on fan-beam CT

On multiple scattering in Compton scattering tomography and its impact on fan-beam CT

On the design of a CST system and its extension to a bi-imaging modality

Compton scattering tomography in translational geometries

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