2013/09/17 by Sunghwan Moon, Moon, Sunghwan · 1 citation
Engineering · Mathematics · #Numerical methods in inverse problems #Photoacoustic and Ultrasonic Imaging #Thermography and Photoacoustic Techniques #math.AP #math.FA #msc:44A12 #msc:92C55
paper · pdf · doi:10.48550/arxiv.1309.4143
arxiv created 2014/12/07 · arxiv updated 2014/12/09
This paper is devoted to a Radon-type transform arising in Photoacoustic Tomography that uses integrating line detectors. We consider two situations: when the line detectors are tangent to the boundary of a cylindrical domain and when the line detectors are located on a plane. We present the analogue of the Fourier slice theorems for each case of the Radon-type transforms. Also, we provide several new inversion formulas, a support theorem, and stability estimate and necessary range condition results.