How to position sensors in thermo-acoustic tomography
Abstract
Thermo-acoustic tomography is a non-invasive medical imaging technique: the object to be reconstructed is excited by an impulse, inducing inhomogeneous heating and thus tissue expansion. This creates an acoustic wave pressure that can be measured by sensors. The reconstruction of internal heterogeneities can then be achieved by solving an inverse problem, once the sound wave measurements are known outside the body. As the measured pressure intensity is expected to be low, a difficult problem is to position the sensors properly.
- Publication:
-
Inverse Problems
- Pub Date:
- July 2019
- DOI:
- arXiv:
- arXiv:1809.07060
- Bibcode:
- 2019InvPr..35g4003B
- Keywords:
-
- wave equation;
- observability;
- shape optimization;
- primal-dual algorithm;
- minimax problem;
- calculus of variation;
- Mathematics - Analysis of PDEs;
- Mathematics - Optimization and Control
- E-Print:
- doi:10.1088/1361-6420/ab0e4d