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arXiv · 2202.10724

Feature reconstruction from incomplete tomographic data without detour

Simon Göppel·Jürgen Frikel·Markus Haltmeier
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Abstract

In this paper, we consider the problem of feature reconstruction from incomplete x-ray CT data. Such problems occurs, e.g., as a result of dose reduction in the context medical imaging. Since image reconstruction from incomplete data is a severely ill-posed problem, the reconstructed images may suffer from characteristic artefacts or missing features, and significantly complicate subsequent image processing tasks (e.g., edge detection or segmentation). In this paper, we introduce a novel framework for the robust reconstruction of convolutional image features directly from CT data, without the need of computing a reconstruction firs. Within our framework we use non-linear (variational) regularization methods that can be adapted to a variety of feature reconstruction tasks and to several limited data situations . In our numerical experiments, we consider several instances of edge reconstructions from angularly undersampled data and show that our approach is able to reliably reconstruct feature maps in this case.

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Simon Göppel, Jürgen Frikel, Markus Haltmeier. 2022-02-22. Feature reconstruction from incomplete tomographic data without detour. https://arxiv.org/abs/2202.10724

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