Abstract
X-ray computed tomography has been studied in various fields. Considerable effort has been focused on reconstructing the projection image set from a rigid-type specimen. However, reconstruction of images projected from an object showing elastic motion has received minimal attention. In this paper, a mathematical solution to reconstructing the projection image set obtained from an object with specific elastic motions—periodically, regularly, and elliptically expanded or contracted specimens—is proposed. To reconstruct the projection image set from expanded or contracted specimens, methods are presented for detection of the sample’s motion modes, mathematical rescaling of pixel values, and conversion of the projection angle for a common layer.
Highlights
X-ray computed tomography (CT) is an imaging technique in which the three-dimensional (3D) structure of a sample is reconstructed on the basis of two-dimensional projections formed by the penetration of X-rays at different projection angles
We provide mathematical solutions that can be applied to CT images to reconstruct the image of an object showing certain types of elastic motion, periodic, regular, and elliptical expansion or contraction
Objects that regularly change in size require modification of the length in the sinogram, while objects that elliptically change require transformation of the unit pixel length and the projection angle in the sinogram
Summary
X-ray computed tomography (CT) is an imaging technique in which the three-dimensional (3D) structure of a sample is reconstructed on the basis of two-dimensional projections formed by the penetration of X-rays at different projection angles. The main benefit of our method is that the sample size can be freely adjusted in the projection image set obtained from elastic-type objects showing the above motions. If the size of the object changes during scanning, it is necessary to adjust the projected specimen obtained at the same axial level (common layer) because a unit pixel in the CCD for each projection image may contain a different axial size in the specimen.
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