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首页> 外文期刊>Philosophical transactions of the Royal Society. Mathematical, physical, and engineering sciences >Computed tomographic beam-hardening artefacts: mathematical characterization and analysis
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Computed tomographic beam-hardening artefacts: mathematical characterization and analysis

机译：计算机断层扫描束硬化伪像：数学表征和分析

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摘要

This paper presents a mathematical characterization and analysis of beam-hardening artefacts in Xray computed tomography (CT). In the field of dental and medical radiography, metal artefact reduction in CT is becoming increasingly important as artificial prostheses and metallic implants become more widespread in ageing populations. Metal artefacts are mainly caused by the beam-hardening of polychromatic X-ray photon beams, which causes mismatch between the actual sinogram data and the data model being the Radon transform of the unknown attenuation distribution in the CT reconstruction algorithm. We investigate the beam-hardening factor through a mathematical analysis of the discrepancy between the data and the Radon transform of the attenuation distribution at a fixed energy level. Separation of cupping artefacts from beam-hardening artefacts allows causes and effects of streaking artefacts to be analysed. Various computer simulations and experiments are performed to support our mathematical analysis.
机译：本文介绍了X射线计算机断层扫描（CT）中光束硬化伪像的数学特征和分析。在牙科和医学放射线照相领域，随着人工假体和金属植入物在老年人口中越来越普遍，减少CT中的金属伪影变得越来越重要。金属伪影主要是由多色X射线光子束的束硬化引起的，这导致实际的正弦图数据与数据模型之间的不匹配，该数据模型是CT重建算法中未知衰减分布的Radon变换。我们通过对固定能量水平上的数据与衰减分布的Radon变换之间的差异进行数学分析来研究光束硬化因子。将拔罐文物与射束硬化文物分开可以分析条纹状文物的原因和影响。执行各种计算机模拟和实验以支持我们的数学分析。

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