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For photoacoustic image reconstruction, certain parameters such as sensorpositions and speed of sound have a major impact in the reconstruction processand must be carefully determined before data acquisition. Uncertainties inthese parameters can lead to errors produced by a modeling mismatch, hinderingthe reconstruction process and severely affecting the resulting image quality.Therefore, in this work we study how modeling errors arising from uncertaintyin sensor locations affect the images obtained by matrix model-basedreconstruction algorithms based on time domain and frequency domain models ofthe photoacoustic problem. The effects on the reconstruction performance withrespect to the uncertainty in the knowledge of the sensors location is comparedand analyzed both in a qualitative and quantitative fashion for both time andfrequency models. Ultimately, our study shows that the frequency domainapproach is more sensitive to this kind of modeling errors. These conclusionsare supported by numerical experiments and a theoretical sensitivity analysisof the mathematical operator for the direct problem.

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