Abstract
X-ray computed tomography has become an essential technique in various fields, such as biology, archaeology, geoscience, and materials science. Although considerable effort has been given to reconstructing projection image sets from fixed rigid specimens, little attention has been given to the reconstruction of projected images using an alignment method with a rotation axis for objects that are moving during scanning. Therefore, in this study, a mathematical solution for the reconstruction of a projection image set that is obtained from moving objects is presented. In particular, this study presents the reconstruction of a projection image set for two and three objects moving in different directions using the virtual multi-alignment method.
Highlights
X-ray computed tomography (CT) has been studied due to its potential applications in various fields such as biology, archaeology, geosciences, and materials science[1,2,3,4,5,6]
We present a solution for the creation of a sinogram for each rigid section within a rigid specimen by creating a pair of ideal sinogram patterns (ISPs) for each section of the sample without the need for an overall ISP, and we refer to this approach as the virtual multi-alignment method (VMAM)
When translation errors occur as an object move during scanning, ideally aligned reconstruction (IAR) can be performed by correcting the sinogram of the previous entire part or following entire part of the error in the ISP using the virtual alignment method (VAM)
Summary
X-ray computed tomography has become an essential technique in various fields, such as biology, archaeology, geoscience, and materials science. This study presents the reconstruction of a projection image set for two and three objects moving in different directions using the virtual multi-alignment method. When translation errors occur as an object move during scanning, IAR can be performed by correcting the sinogram of the previous entire part or following entire part of the error in the ISP using the VAM This method can be applied to two rigid objects within a specimen. The sinogram with the LAP can be used to reconstruct the sample image before the movement occurred at the desired projection angle using the region of interest (Fig. 1d). To obtain an IAR without the errors that are mentioned above, we provide a mathematical solution that transforms an NISP into each LAP using two or three rigid objects that are moving in different directions. The sample image can be reconstructed to the position of the object that is desired using the region of interest (Fig. 3e)
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