计算机断层扫描课堂讲稿

arXiv - CS - Numerical Analysis Pub Date : 2023-12-04 DOI:arxiv-2312.02393

Matthias Beckmann

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引用次数: 0

摘要

这些课堂讲稿介绍了计算机化断层扫描(CT)的数学。讨论了x射线层析成像的原理、作为测量过程数学模型的theRadon变换及其性质、基础数学重建问题的病态性和经典重建技术。本文还简要总结了傅立叶分析所需的背景知识。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Lecture Notes on Computerized Tomography

These lecture notes give an introduction to the mathematics of computer(ized) tomography (CT). Treated are the imaging principle of X-ray tomography, the Radon transform as mathematical model for the measurement process and its properties, the ill-posedness of the underlying mathematical reconstruction problem and classical reconstruction techniques. The required background from Fourier analysis is also briefly summarized.

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来源期刊

arXiv - CS - Numerical Analysis

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