Limited-angle tomography reconstruction via deep end-to-end learning on synthetic data
full text: | html |
author/s: | Thomas Germer, Stefan Harmeling, Sebastian Konietzny, Jan Robine, Tobias Uelwer |
type: | Article |
journal: | Applied Mathematics for Modern Challenges |
month: | October |
year: | 2023 |
language: | English |
copyright: | American Institute of Mathematical Sciences |
keywords: | Helsinki tomography challenge 2022, limited angle tomography, computed tomography, deep learning, artificial neural networks, inverse problems |
Computed tomography (CT) has become an essential part of modern science and medicine. A CT scanner consists of an X-ray source that is spun around an object of interest. On the opposite end of the X-ray source, a detector captures X-rays that are not absorbed by the object. The reconstruction of an image is a linear inverse problem, which is usually solved by filtered back projection. However, when the number of measurements is small, the reconstruction problem is ill-posed. This is for example the case when the X-ray source is not spun completely around the object, but rather irradiates the object only from a limited angle. To tackle this problem, we present a deep neural network that is trained on a large amount of carefully-crafted synthetic data and can perform limited-angle tomography reconstruction even for only 30° or 40° sinograms. With our approach we won the first place in the Helsinki Tomography Challenge 2022.