Javaherian, A;
Holman, S;
(2018)
A continuous adjoint for photo-acoustic tomography of the brain.
Inverse Problems
, 34
(8)
10.1088/1361-6420/aac530.
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Abstract
We present an optimisation framework for photo-acoustic tomography of the brain based on a system of coupled equations that describe the propagation of sound waves in linear isotropic inhomogeneous and lossy elastic media with absorption and physical dispersion following a frequency power law using fractional Laplacian operators. The adjoint of the associated continuous forward operator is derived, and a numerical framework for computing this adjoint based on a k-space pseudo-spectral method is presented. We analytically show that the derived continuous adjoint matches the adjoint of an associated discretised forward operator. We include this adjoint in a first-order positivity constrained optimisation algorithm that is regularised by total variation minimisation, and show that the iterates monotonically converge to a minimiser of an objective function, even in the presence of some error in estimating the physical parameters of the medium.
| Type: | Article |
|---|---|
| Title: | A continuous adjoint for photo-acoustic tomography of the brain |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1088/1361-6420/aac530 |
| Publisher version: | https://doi.org/10.1088/1361-6420/aac530 |
| 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. |
| 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 Med Phys and Biomedical Eng |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10067950 |
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