TY  - JOUR
EP  - 31
Y1  - 2018/08//
AV  - public
VL  - 34
TI  - A continuous adjoint for photo-acoustic tomography of the brain
N1  - This version is the author accepted manuscript. For information on re-use, please refer to the publisher?s terms and conditions.
IS  - 8
SN  - 1361-6420
UR  - https://doi.org/10.1088/1361-6420/aac530
PB  - IOP PUBLISHING LTD
ID  - discovery10067950
N2  - 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.
A1  - Javaherian, A
A1  - Holman, S
JF  - Inverse Problems
ER  -