2024/09/21 by Michael V. Klibanov, Klibanov, Michael V., Jingzhi Li +5
Engineering · Medicine · #Advanced X-ray and CT Imaging #Electrical and Bioimpedance Tomography #FOS: Mathematics #Medical Imaging Techniques and Applications #Numerical Analysis (math.NA)
paper · pdf · doi:10.48550/arxiv.2409.14025
openalex publication_date 2024/09/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The travel time tomography problem is a coefficient inverse problem for the eikonal equation. This problem has well known applications in seismic. The eikonal equation is considered here in the circular cylinder, where point sources run along its axis and measurements of travel times are conductes on the whole surface of this cylinder. A new version of the globally convergent convexification numerical method for this problem is developed. Results of numerical studies are presented.