Signal processing for photoacoustic tomography

This study examines one of the open problems yet to solve in photoacoustic tomography: How to prepare photoacoustic signals to ensure interpretation as projection data? The main part of this difficulty is related to the setting of the linear photoacoustic transport model. Notably errors are due to the discrepancy between the mathematical reconstruction and the physical realization: Tomographic image reconstruction from projections require a linear acquisition system. However in practice, the physical reality presents different non-linear phenomena. In account of this incompatibility, it was our purpose to provide some advancement in signal processing for dealing the projection issue while considering different perspectives in the interpretation of the transport model to be applied in a broader manner. Numerical examples are analyzed in detail and unveil the foundations for photoacoustic signal processing methodologies focused on the task of tomographic image reconstruction from projections.