scholarly journals Analytical reconstruction formula with efficient implementation for a modality of Compton scattering tomography with translational geometry

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Cécilia Tarpau ◽  
Javier Cebeiro ◽  
Geneviève Rollet ◽  
Maï K. Nguyen ◽  
Laurent Dumas
Keyword(s):  
Compton Scattering ◽  
Radon Transform ◽  
Reconstruction Algorithm ◽  
Numerical Realization ◽  
Original Study ◽  
Alternative Formulation ◽  
Fourier Domain ◽  
Reconstruction Formula ◽  
Analytical Reconstruction ◽  
Stability Issues

<p style='text-indent:20px;'>In this paper, we address an alternative formulation for the exact inverse formula of the Radon transform on circle arcs arising in a modality of Compton Scattering Tomography in translational geometry proposed by Webber and Miller (Inverse Problems (36)2, 025007, 2020). The original study proposes a first method of reconstruction, using the theory of Volterra integral equations. The numerical realization of such a type of inverse formula may exhibit some difficulties, mainly due to stability issues. Here, we provide a suitable formulation for exact inversion that can be straightforwardly implemented in the Fourier domain. Simulations are carried out to illustrate the efficiency of the proposed reconstruction algorithm.</p>

Compton scattering tomography reconstruction algorithm combined with transmission CT

2014 ◽  
Vol 26 (2) ◽  
pp. 24003
Author(s):  
古宇飞 Gu Yufei ◽  
闫镔 Yan Bin ◽  
王彪 Wang Biao ◽  
李磊 Li Lei ◽  
韩玉 Han Yu
Keyword(s):  
Compton Scattering ◽  
Reconstruction Algorithm ◽  
Tomography Reconstruction ◽  
Transmission Ct

scholarly journals Compton scattering tomography for agricultural measurements

2006 ◽  
Vol 26 (1) ◽  
pp. 151-160 ◽  
Author(s):  
Paulo E. Cruvinel ◽  
Fatai A. Balogun
Keyword(s):  
Compton Scattering ◽  
Linear Correlation ◽  
Imaging Technique ◽  
Reconstruction Algorithm ◽  
Transmission Tomography ◽  
Electronic Density ◽  
New Approach ◽  
Quantitative Results ◽  
Water Contents ◽  
Better Than

This paper presents a new approach in tomographic instrumentation for agriculture based on Compton scattering, which allows for the simultaneous measurements of density and moisture of soil samples. Compton tomography is a technique that can be used to obtain a spatial map of electronic density of samples. Quantitative results can be obtained by using a reconstruction algorithm that takes into account the absorption of incident and scattered radiation. Results show a coefficient of linear correlation better than 0.81, when comparison is made between soil density measurements based on this method and direct transmission tomography. For soil water contents, a coefficient of linear correlation better than 0.79 was found when compared with measurements obtained by time domain reflectrometry (TDR). In addition, a set of Compton scatter images are presented to illustrate the efficacy of this imaging technique, which makes possible improved spatial variability analysis of pre-established planes.

GPU Accelerated Reconstruction in Compton Scattering Tomography Using Matrix Compression

2014 ◽  
Vol 519-520 ◽  
pp. 102-107
Author(s):  
Yu Fei Yu ◽  
Bin Yan ◽  
Biao Wang ◽  
Lei Li ◽  
Yu Han ◽  
...  
Keyword(s):  
Compton Scattering ◽  
Graphics Processing Unit ◽  
Sparse Matrix ◽  
Reconstruction Algorithm ◽  
Processing Unit ◽  
Matrix Vector Multiplication ◽  
Speedup Ratio ◽  
Parallel Features ◽  
Graphics Processing ◽  
Matrix Vector

An acceleration strategy for TV-ADM reconstruction algorithm in Compton scattering tomography (CST) is proposed. By analyzing the sparse characteristic of CST projection matrixes, firstly, the sparse matrix vector CSR format and ELL format are used to store them, which greatly reduce the memory consumption. Then, a Sparse Matrix Vector multiplication (SpMV) method is utilized to accelerate the projector and back projector process. Finally, based on the parallel features, the TV-ADM is computed with Graphics Processing Unit (GPU). Numerical experiments show that the TV-ADM with the presented acceleration strategy could achieve a 96 times speedup ratio and 224 times memory compression ratio without precision loss.

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