Review of reconstruction algorithms with incomplete projection data of computed tomography

Tetrahedron beam computed tomography (TBCT) performs volumetric imaging using a stack of fan beams generated by a multiple pixel X-ray source. While the TBCT system was designed to overcome the scatter and detector issues faced by cone beam computed tomography (CBCT), it still suffers the same large cone angle artifacts as CBCT due to the use of approximate reconstruction algorithms. It has been shown that iterative reconstruction algorithms are better able to model irregular system geometries and that algebraic iterative algorithms in particular have been able to reduce cone artifacts appearing at large cone angles. In this paper, the SART algorithm is modified for the use with the different TBCT geometries and is tested using both simulated projection data and data acquired using the TBCT benchtop system. The modified SART reconstruction algorithms were able to mitigate the effects of using data generated at large cone angles and were also able to reconstruct CT images without the introduction of artifacts due to either the longitudinal or transverse truncation in the data sets. Algebraic iterative reconstruction can be especially useful for dual-source dual-detector TBCT, wherein the cone angle is the largest in the center of the field of view.

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Evaluation of image reconstruction algorithms in cone-beam computed tomography technique

Nuclear Science and Technology ◽

10.53747/jnst.v9i4.136 ◽

2021 ◽

Vol 9 (4) ◽

pp. 41-47

Author(s):

Thuy Duong Tran ◽

Ngoc Ha Bui

Keyword(s):

Computed Tomography ◽

Cone Beam Computed Tomography ◽

Cone Beam ◽

Materials Testing ◽

Projection Data ◽

Reconstruction Technique ◽

Reconstruction Algorithms ◽

Medical Diagnostic ◽

Iterative Reconstruction Technique ◽

Image Reconstruction Algorithms

Cone-beam computed tomography (CBCT) technique is largely used in medical diagnostic imaging and nondestructive materials testing, especially in cases which require fast times and high accuracy level. In this paper, the pros and cons of Feldkamp-Davis-Kress (FDK) and simultaneous iterative reconstruction technique (SIRT) algorithms used in CBCT technique is studied. The method of simulating CBCT systems is also used to provide richer projection data, which helps the research to evaluate many aspects of algorithms.

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Convergence and stability analysis of the half thresholding based few-view CT reconstruction

Journal of Inverse and Ill-Posed Problems ◽

10.1515/jiip-2020-0003 ◽

2020 ◽

Vol 28 (6) ◽

pp. 829-847

Author(s):

Hua Huang ◽

Chengwu Lu ◽

Lingli Zhang ◽

Weiwei Wang

Keyword(s):

Noise Suppression ◽

Reconstructed Image ◽

Reference Image ◽

Projection Data ◽

Ct Reconstruction ◽

Reconstruction Algorithms ◽

Ill Posed ◽

Thresholding Algorithm ◽

The Stability ◽

Well Posed

AbstractThe projection data obtained using the computed tomography (CT) technique are often incomplete and inconsistent owing to the radiation exposure and practical environment of the CT process, which may lead to a few-view reconstruction problem. Reconstructing an object from few projection views is often an ill-posed inverse problem. To solve such problems, regularization is an effective technique, in which the ill-posed problem is approximated considering a family of neighboring well-posed problems. In this study, we considered the {\ell_{1/2}} regularization to solve such ill-posed problems. Subsequently, the half thresholding algorithm was employed to solve the {\ell_{1/2}} regularization-based problem. The convergence analysis of the proposed method was performed, and the error bound between the reference image and reconstructed image was clarified. Finally, the stability of the proposed method was analyzed. The result of numerical experiments demonstrated that the proposed method can outperform the classical reconstruction algorithms in terms of noise suppression and preserving the details of the reconstructed image.

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Manual kidney stone size measurements in computed tomography are most accurate using multiplanar image reformatations and bone window settings

Scientific Reports ◽

10.1038/s41598-021-95962-z ◽

2021 ◽

Vol 11 (1) ◽

Author(s):

Robert Peter Reimer ◽

Konstantin Klein ◽

Miriam Rinneburger ◽

David Zopfs ◽

Simon Lennartz ◽

...

Keyword(s):

Computed Tomography ◽

Treatment Decision ◽

Reconstruction Algorithm ◽

Slice Thickness ◽

Reconstruction Algorithms ◽

Stone Size ◽

Bone Window ◽

3D Printed ◽

Measurement Strategies ◽

Digital Caliper

AbstractComputed tomography in suspected urolithiasis provides information about the presence, location and size of stones. Particularly stone size is a key parameter in treatment decision; however, data on impact of reformatation and measurement strategies is sparse. This study aimed to investigate the influence of different image reformatations, slice thicknesses and window settings on stone size measurements. Reference stone sizes of 47 kidney stones representative for clinically encountered compositions were measured manually using a digital caliper (Man-M). Afterwards stones were placed in a 3D-printed, semi-anthropomorphic phantom, and scanned using a low dose protocol (CTDIvol 2 mGy). Images were reconstructed using hybrid-iterative and model-based iterative reconstruction algorithms (HIR, MBIR) with different slice thicknesses. Two independent readers measured largest stone diameter on axial (2 mm and 5 mm) and multiplanar reformatations (based upon 0.67 mm reconstructions) using different window settings (soft-tissue and bone). Statistics were conducted using ANOVA ± correction for multiple comparisons. Overall stone size in CT was underestimated compared to Man-M (8.8 ± 2.9 vs. 7.7 ± 2.7 mm, p < 0.05), yet closely correlated (r = 0.70). Reconstruction algorithm and slice thickness did not significantly impact measurements (p > 0.05), while image reformatations and window settings did (p < 0.05). CT measurements using multiplanar reformatation with a bone window setting showed closest agreement with Man-M (8.7 ± 3.1 vs. 8.8 ± 2.9 mm, p < 0.05, r = 0.83). Manual CT-based stone size measurements are most accurate using multiplanar image reformatation with a bone window setting, while measurements on axial planes with different slice thicknesses underestimate true stone size. Therefore, this procedure is recommended when impacting treatment decision.

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Isotope computed tomography using cone-beam geometry: a comparison of two reconstruction algorithms

Physics in Medicine and Biology ◽

10.1088/0031-9155/32/10/002 ◽

1987 ◽

Vol 32 (10) ◽

pp. 1221-1235 ◽

Cited By ~ 1

Author(s):

A Horsman ◽

J Sutcliffe ◽

L Burkinshaw ◽

P Wild ◽

J Skilling ◽

...

Keyword(s):

Computed Tomography ◽

Cone Beam ◽

Reconstruction Algorithms ◽

Beam Geometry

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Combining Acceleration Techniques for Low-Dose X-Ray Cone Beam Computed Tomography Image Reconstruction

BioMed Research International ◽

10.1155/2017/6753831 ◽

2017 ◽

Vol 2017 ◽

pp. 1-10

Author(s):

Hsuan-Ming Huang ◽

Ing-Tsung Hsiao

Keyword(s):

Computed Tomography ◽

Image Reconstruction ◽

Low Dose ◽

Computational Cost ◽

Reconstruction Algorithm ◽

Reconstruction Algorithms ◽

Acceleration Techniques ◽

Reconstruction Methods ◽

Speed Up ◽

Phantom Studies

Background and Objective. Over the past decade, image quality in low-dose computed tomography has been greatly improved by various compressive sensing- (CS-) based reconstruction methods. However, these methods have some disadvantages including high computational cost and slow convergence rate. Many different speed-up techniques for CS-based reconstruction algorithms have been developed. The purpose of this paper is to propose a fast reconstruction framework that combines a CS-based reconstruction algorithm with several speed-up techniques.Methods. First, total difference minimization (TDM) was implemented using the soft-threshold filtering (STF). Second, we combined TDM-STF with the ordered subsets transmission (OSTR) algorithm for accelerating the convergence. To further speed up the convergence of the proposed method, we applied the power factor and the fast iterative shrinkage thresholding algorithm to OSTR and TDM-STF, respectively.Results. Results obtained from simulation and phantom studies showed that many speed-up techniques could be combined to greatly improve the convergence speed of a CS-based reconstruction algorithm. More importantly, the increased computation time (≤10%) was minor as compared to the acceleration provided by the proposed method.Conclusions. In this paper, we have presented a CS-based reconstruction framework that combines several acceleration techniques. Both simulation and phantom studies provide evidence that the proposed method has the potential to satisfy the requirement of fast image reconstruction in practical CT.

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Muon Tracing and Image Reconstruction Algorithms for Cosmic Ray Muon Computed Tomography

IEEE Transactions on Image Processing ◽

10.1109/tip.2018.2869667 ◽

2019 ◽

Vol 28 (1) ◽

pp. 426-435 ◽

Cited By ~ 5

Author(s):

Zhengzhi Liu ◽

Stylianos Chatzidakis ◽

John M. Scaglione ◽

Can Liao ◽

Haori Yang ◽

...

Keyword(s):

Computed Tomography ◽

Image Reconstruction ◽

Cosmic Ray ◽

Reconstruction Algorithms ◽

Image Reconstruction Algorithms

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Design of a Monte Carlo model based on dual-source computed tomography (DSCT) scanners for dose and image quality assessment using the Monte Carlo N-Particle (MCNP5) code

Polish Journal of Medical Physics and Engineering ◽

10.2478/pjmpe-2020-0002 ◽

2020 ◽

Vol 26 (1) ◽

pp. 11-20

Author(s):

Stefania Chantzi ◽

Emmanouil Papanastasiou ◽

Christina Athanasopoulou ◽

Elisavet Molyvda-Athanasopoulou ◽

Panagiotis Bamidis ◽

...

Keyword(s):

Computed Tomography ◽

Monte Carlo ◽

Monte Carlo Model ◽

Dose Assessment ◽

Projection Algorithm ◽

Projection Data ◽

Ct Number ◽

Low Contrast ◽

Dual Source ◽

Dual Source Computed Tomography

AbstractThe purpose of this work was to develop and validate a Monte Carlo model for a Dual Source Computed Tomography (DSCT) scanner based on the Monte Carlo N-particle radiation transport computer code (MCNP5). The geometry of the Siemens Somatom Definition CT scanner was modeled, taking into consideration the x-ray spectrum, bowtie filter, collimator, and detector system. The accuracy of the simulation from the dosimetry point of view was tested by calculating the Computed Tomography Dose Index (CTDI) values. Furthermore, typical quality assurance phantoms were modeled in order to assess the imaging aspects of the simulation. Simulated projection data were processed, using the MATLAB software, in order to reconstruct slices, using a Filtered Back Projection algorithm. CTDI, image noise, CT-number linearity, spatial and low contrast resolution were calculated using the simulated test phantoms. The results were compared using several published values including IMPACT, NIST and actual measurements. Bowtie filter shapes are in agreement with those theoretically expected. Results show that low contrast and spatial resolution are comparable with expected ones, taking into consideration the relatively limited number of events used for the simulation. The differences between simulated and nominal CT-number values were small. The present attempt to simulate a DSCT scanner could provide a powerful tool for dose assessment and support the training of clinical scientists in the imaging performance characteristics of Computed Tomography scanners.

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