LECTURE NOTES IN MEDICAL ENGINEERING

The Math behind Computed Tomography

CT Reconstruction — Filtered Backprojection & ART

Andreas Maier
24 min readFeb 17, 2022

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These are the lecture notes for FAU’s YouTube Lecture “Medical Engineering”. This is a full transcript of the lecture video & matching slides. The course is supported by a corresponding Open Access Book, and Open Source Slides (zenodo/github). We hope, you enjoy this as much as the videos. Of course, this transcript was created with deep learning techniques largely automatically and only minor manual modifications were performed. Try it yourself! If you spot mistakes, please let us know!

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Welcome back to Medical Engineering. Today we want to continue our journey through the mathematics and algorithms of computed tomography. What we want to do today is we want to discover the different algorithms that are used to reconstruct the images. So I’m very much looking forward to looking into the reconstruction algorithms of computed tomography.

Image from the Medical Engineering lecture under CC BY 4.0.

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Andreas Maier
Andreas Maier

Written by Andreas Maier

I do research in Machine Learning. My positions include being Prof @FAU_Germany, President @DataDonors, and Board Member for Science & Technology @TimeMachineEU