2011/01/19 by Qian, Jianliang, Günther Uhlmann, Stefanov, Plamen +3 · 1 citation
Engineering · #Advanced X-ray and CT Imaging #FOS: Mathematics #Numerical Analysis (math.NA) #Photoacoustic and Ultrasonic Imaging #Thermography and Photoacoustic Techniques
paper · pdf · doi:10.48550/arxiv.1101.3729
openalex publication_date 2011/01/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01
We present a new algorithm for reconstructing an unknown source in Thermoacoustic and Photoacoustic Tomography based on the recent advances in understanding the theoretical nature of the problem. We work with variable sound speeds that might be also discontinuous across some surface. The latter problem arises in brain imaging. The new algorithm is based on an explicit formula in the form of a Neumann series. We present numerical examples with non-trapping, trapping and piecewise smooth speeds, as well as examples with data on a part of the boundary. These numerical examples demonstrate the robust performance of the new algorithm.