2018/08/02 by Gerhard Zangerl, Markus Haltmeier, Zangerl, Gerhard +5
Engineering · #Advanced X-ray and CT Imaging #FOS: Mathematics #Flow Measurement and Analysis #Numerical Analysis (math.NA) #Photoacoustic and Ultrasonic Imaging
paper · pdf · doi:10.48550/arxiv.1808.00816
openalex publication_date 2018/08/02 · openalex created_date 2022/08/04 · openalex updated_date 2026/07/28
Recently, a novel measurement setup has been introduced to photoacoustic\ntomography, that collects data in the form of projections of the full 3D\nacoustic pressure distribution at a certain time instant. Existing imaging\nalgorithms for this kind of data assume a constant speed of sound. This\nassumption is not always met in practice and thus leads to erroneous\nreconstructions. In this paper, we present a two-step reconstruction method for\nfull field detection photoacoustic tomography that takes variable speed of\nsound into account. In the first step, by applying the inverse Radon transform,\nthe pressure distribution at the measurement time is reconstructed point-wise\nfrom the projection data. In the second step, one solves a final time wave\ninversion problem where the initial pressure distribution is recovered from the\nknown pressure distribution at the measurement time. For the latter problem, we\nderive an iterative solution approach, compute the required adjoint operator,\nand show its uniqueness and stability.\n