A wavelet-based SPECT reconstruction algorithm for nonuniformly attenuated Radon transform

2010 ◽  
Vol 37 (9) ◽  
pp. 4762-4767
Author(s):  
Junhai Wen ◽  
Lingkai Kong
Keyword(s):  
Radon Transform ◽  
Reconstruction Algorithm ◽  
Spect Reconstruction

Analytical SPECT reconstruction algorithm for helical cone-beam geometry using ray-driven technology

2012 ◽  
Author(s):  
Kangping Zhang ◽  
Junhai Wen ◽  
Cuifen Li ◽  
Rui Yang ◽  
Haixiang Dong ◽  
...  
Keyword(s):  
Reconstruction Algorithm ◽  
Cone Beam ◽  
Beam Geometry ◽  
Spect Reconstruction

scholarly journals Frame localisation optical projection tomography

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Craig T. Russell ◽  
Pedro P. Vallejo Ramirez ◽  
Eric Rees
Keyword(s):  
Radon Transform ◽  
Large Scale ◽  
Tomographic Reconstruction ◽  
Ct Scanning ◽  
Reconstruction Algorithm ◽  
Optical Projection Tomography ◽  
Optical Projection ◽  
Scanning Systems ◽  
Mechanical Rotation

AbstractWe present a tomographic reconstruction algorithm (flOPT), which is applied to Optical Projection Tomography (OPT) images, that is robust to mechanical jitter and systematic angular and spatial drift. OPT relies on precise mechanical rotation and is less mechanically stable than large-scale computer tomography (CT) scanning systems, leading to reconstruction artefacts. The algorithm uses multiple (5+) tracked fiducial beads to recover the sample pose and the image rays are then back-projected at each orientation. The quality of the image reconstruction using the proposed algorithm shows an improvement when compared to the Radon transform. Moreover, when adding a systematic spatial and angular mechanical drift, the reconstruction shows a significant improvement over the Radon transform.

scholarly journals Computed tomographic beam-hardening artefacts: mathematical characterization and analysis

2015 ◽  
Vol 373 (2043) ◽  
pp. 20140388 ◽  
Author(s):  
Hyoung Suk Park ◽  
Yong Eun Chung ◽  
Jin Keun Seo
Keyword(s):  
Radon Transform ◽  
Mathematical Analysis ◽  
Reconstruction Algorithm ◽  
Ct Reconstruction ◽  
Photon Beams ◽  
Beam Hardening ◽  
X Ray ◽  
Computed Tomographic ◽  
Metal Artefacts ◽  
Metal Artefact

This paper presents a mathematical characterization and analysis of beam-hardening artefacts in X-ray computed tomography (CT). In the field of dental and medical radiography, metal artefact reduction in CT is becoming increasingly important as artificial prostheses and metallic implants become more widespread in ageing populations. Metal artefacts are mainly caused by the beam-hardening of polychromatic X-ray photon beams, which causes mismatch between the actual sinogram data and the data model being the Radon transform of the unknown attenuation distribution in the CT reconstruction algorithm. We investigate the beam-hardening factor through a mathematical analysis of the discrepancy between the data and the Radon transform of the attenuation distribution at a fixed energy level. Separation of cupping artefacts from beam-hardening artefacts allows causes and effects of streaking artefacts to be analysed. Various computer simulations and experiments are performed to support our mathematical analysis.

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>

A cone beam SPECT reconstruction algorithm with a displaced center of rotation

1994 ◽  
Vol 21 (1) ◽  
pp. 145-152 ◽  
Author(s):  
Jianying Li ◽  
Ronald J. Jaszczak ◽  
Huili Wang ◽  
Grant T. Gullberg ◽  
Kim L. Greer ◽  
...  
Keyword(s):  
Reconstruction Algorithm ◽  
Cone Beam ◽  
Center Of Rotation ◽  
Spect Reconstruction
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