On the robustness of model-based algorithms for photoacoustic tomography: Comparison between time and frequency domains

HIRSCH, L.; GONZÁLEZ, M. G.; REY VEGA, L.

REVIEW OF SCIENTIFIC INSTRUMENTS

AMER INST PHYSICS

Año: 2021 vol. 92

0034-6748

For photoacoustic image reconstruction, certain parameters such as sensor positions and speed of sound havea major impact in the reconstruction process and must be carefully determined before data acquisition. Uncertainties in these parameters can lead to errors produced by a modeling mismatch, hindering the reconstructionprocess and severely affecting the resulting image quality. Therefore, in this work we study how modeling errorsarising from uncertainty in sensor locations affect the images obtained by matrix model-based reconstruction algorithms based on time domain and frequency domain models of the photoacoustic problem. The effects on thereconstruction performance with respect to the uncertainty in the knowledge of the sensors location is comparedand analyzed both in a qualitative and quantitative fashion for both time and frequency models. Ultimately,our study shows that the frequency domain approach is more sensitive to this kind of modeling errors. Theseconclusions are supported by numerical experiments and a theoretical sensitivity analysis of the mathematicaloperator for the direct problem.