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

## TL;DR

This paper introduces a novel mathematical approach for reconstructing X-ray CT images of elastic objects exhibiting periodic, regular, or elliptical motions, addressing a gap in existing rigid-object-focused methods.

## Contribution

It presents a new virtual focusing method that detects elastic motion modes and mathematically re-scales images for accurate reconstruction of elastic specimens.

## Key findings

- Effective reconstruction of elastic motion specimens demonstrated
- Method handles periodic and elliptical elastic deformations
- Improves accuracy over traditional rigid-object reconstruction techniques

## Abstract

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

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Source: https://tomesphere.com/paper/1704.03799