Burger, M;
Hauptmann, A;
Helin, T;
Hyvonen, N;
Puska, JP;
(2021)
Sequentially optimized projections in x-ray imaging *.
Inverse Problems
, 37
(7)
, Article 075006. 10.1088/1361-6420/ac01a4.
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Abstract
This work applies Bayesian experimental design to selecting optimal projection geometries in (discretized) parallel beam X-ray tomography assuming the prior and the additive noise are Gaussian. The introduced greedy exhaustive optimization algorithm proceeds sequentially, with the posterior distribution corresponding to the previous projections serving as the prior for determining the design parameters, i.e. the imaging angle and the lateral position of the sourcereceiver pair, for the next one. The algorithm allows redefining the region of interest after each projection as well as adapting parameters in the (original) prior to the measured data. Both A and D-optimality are considered, with emphasis on efficient evaluation of the corresponding objective functions. Two-dimensional numerical experiments demonstrate the functionality of the approach.
| Type: | Article |
|---|---|
| Title: | Sequentially optimized projections in x-ray imaging * |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1088/1361-6420/ac01a4 |
| Publisher version: | http://dx.doi.org/10.1088/1361-6420/ac01a4 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Science & Technology, Physical Sciences, Mathematics, Applied, Physics, Mathematical, Mathematics, Physics, x-ray tomography, parallel beam tomography, optimal projections, Bayesian experimental design, A-optimality, D-optimality, sequential optimization, OPTIMAL EXPERIMENTAL-DESIGN, BAYESIAN EXPERIMENTAL-DESIGN, A-OPTIMAL DESIGN, INVERSE PROBLEMS |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10130687 |
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