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.

翻译：这些讲义介绍了计算机断层成像（CT）的数学基础。内容包括X射线断层成像原理、作为测量过程数学模型的Radon变换及其性质、底层数学重建问题的不适定性，以及经典重建技术。此外，还简要总结了所需的傅里叶分析背景知识。