2015/01/12 by Yulia Hristova, Hristova, Yulia, Sunghwan Moon +3
Engineering · Mathematics · Medicine · #35L05 #44A12 #65R10 #92C55 #Analysis of PDEs (math.AP) #FOS: Mathematics #Optical Imaging and Spectroscopy Techniques #Photoacoustic and Ultrasonic Imaging #Thermography and Photoacoustic Techniques #math.AP #msc:35L05 #msc:44A12 #msc:65R10 #msc:92C55
paper · pdf · doi:10.48550/arxiv.1501.02532
19 pages, 3 figures. Some formatting changes from v2
openalex publication_date 2015/01/12 · arxiv created 2015/01/16 · arxiv updated 2015/01/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper is devoted to a Radon-type transform arising in a version of Photoacoustic Tomography that uses integrating circular detectors. We show that the transform can be decomposed into the spherical Radon transform and the Funk-Minkowski transform. An inversion formula and a range description are obtained by combining existing inversion for- mulas and range descriptions for the spherical Radon transform and the Funk-Minkowski transform. Numerical simulations are performed to demonstrate our proposed algorithm.