Solution of the Inverse Problem of Thermoacoustic Tomography with Scanning on a Half-Disk in the Presence of Noise

摘要

Passive thermoacoustic tomography is one of the most promising methods for noninvasively determining the distribution of temperature inside a human body, which is very important for medical diagnostics. In this paper, we suggest a method for reconstructing internal temperature distribution from noisy measurements on a half-disk. The approach is based on a wavelet denoising procedure and on an explicit inversion formula for the exponential Radon transform on a half-disk.