Reconstruction Formula for Photoacoustic Tomography with Cylindrical Detectors

Photoacoustic tomography, the well-known example of a hybrid imaging method, is a biomedical imaging modality based on the photoacoustic effect. Assuming cylindrical-shaped detectors are used to record the acoustical data for the photoacoustic tomography, we propose a new Radon-type transform to reconstruct the initial density function. The reconstruction of the suggested Radon-type transform is based on the properties of Bessel functions and Fourier–Bessel series expansion. Numerical simulation results are presented to demonstrate our proposed algorithm.