A Bayesian Approach to CT Reconstruction with Uncertain Geometry

@article{Pedersen2022ABA,
  title={A Bayesian Approach to CT Reconstruction with Uncertain Geometry},
  author={Frederik H G Pedersen and Jakob Sauer J{\o}rgensen and Martin S. Andersen},
  journal={ArXiv},
  year={2022},
  volume={abs/2203.01045}
}
Computed tomography is a method for synthesizing volumetric or cross-sectional images of an object from a collection of projections. Popular reconstruction methods for computed tomography are based on idealized models and assumptions that may not be valid in practice. One such assumption is that the exact projection geometry is known. The projection geometry describes the relative location of the radiation source, object, and detector for each projection. However, in practice, the geometric… 

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References

SHOWING 1-10 OF 36 REFERENCES

Automated angular and translational tomographic alignment and application to phase-contrast imaging.

TLDR
An iterative reconstruction algorithm for wrapped phase projection data and an alignment algorithm that automatically takes 5 degrees of freedom, including the possible linear and angular motion errors, into consideration are presented.

Calculation of the rotational centers in computed tomography sinograms

An efficient method for accurately calculating the center-of-rotation, or projection center, for parallel computed tomography projection data, or sinograms, is described. This method uses all the

Automated determination of the center of rotation in tomography data.

TLDR
It is found that the image metrics make it possible to determine the axis position reliably at well below the resolution of one detector bin in an automated procedure.

Automatic alignment and reconstruction of images for soft X-ray tomography.

A geometric calibration method for cone beam CT systems.

TLDR
A new high-precision method for cone beam CT system calibration that uses multiple projection images acquired from rotating point-like objects and the angle information generated from the rotating gantry system is presented.

Reliable method for calculating the center of rotation in parallel-beam tomography.

TLDR
This work proposes an alternative technique which is based on the Fourier analysis of the sinogram which shows excellent performance particularly on challenging data.

Fast and flexible X-ray tomography using the ASTRA toolbox.

TLDR
Aimed at researchers across multiple tomographic application fields, the ASTRA Toolbox provides a highly efficient and highly flexible open source set of tools for tomographic projection and reconstruction.

Correction of center of rotation and projection angle in synchrotron X-ray computed tomography

TLDR
This study involved designing an automatic method for efficiently correcting errors resulting from incorrectly determined rotational axes and projection angles, and minimization is accomplished by using the gradient descent method.

Cauchy difference priors for edge-preserving Bayesian inversion

Abstract We consider inverse problems in which the unknown target includes sharp edges, for example interfaces between different materials. Such problems are typical in image reconstruction,