Alignment Theory of Parallel-beam CT Image Reconstruction for Elastic-type Objects using Virtual Focusing Method

摘要

X-ray tomography has been studied in various fields. Although a great deal ofeffort has been directed at reconstructing the projection image set from arigid-type specimen, little attention has been addressed to the reconstructionof projected images from an object showing elastic motion. Here, we present amathematical solution to reconstruct the projection image set obtained from anobject with specific elastic motions: periodically, regularly, and ellipticallyexpanded or contracted specimens. To reconstruct the projection image set fromexpanded or contracted specimens, we introduce new methods; detection ofsample's motion modes, mathematical re-scaling pixel values and convertingprojection angle for a common layer