Tamminen, JP;
Tarvainen, T;
Siltanen, S;
(2017)
The D-bar Method for Diffuse Optical Tomography: a computational study.
Experimental Mathematics
, 26
(2)
pp. 225-240.
10.1080/10586458.2016.1157775.
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Abstract
The D-bar method at negative energy is numerically implemented. Using the method we are able to numerically reconstruct potentials and investigate exceptional points at negative energy. Subsequently, applying the method to Diffusive Optical Tomography, a new way of reconstructing the diffusion coefficient from the associated Complex Geometrics Optics solution is suggested and numerically validated.
| Type: | Article |
|---|---|
| Title: | The D-bar Method for Diffuse Optical Tomography: a computational study |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1080/10586458.2016.1157775 |
| Publisher version: | http://www.tandfonline.com/doi/full/10.1080/105864... |
| Language: | English |
| Additional information: | This is an Accepted Manuscript of an article published by Taylor & Francis in the Experimental Mathematics on 5 August 2016, available online: http://www.tandfonline.com/10.1080/10586458.2016.1157775 |
| Keywords: | Inverse problems, diffuse optical tomography, D-bar method, numerical simulation, exceptional points |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices 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/1502378 |
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