Exact Series Reconstruction in Photoacoustic Tomography with Circular Integrating Detectors
This work provides a theoretically exact solution for a specific detector geometry in photoacoustic imaging, which is an incremental improvement over existing approximate methods.
The paper presents an exact reconstruction method for photoacoustic tomography using circular integrating detectors, establishing inversion formulas for the first step of the two-step process. Numerical results demonstrate the validity and robustness of the algorithm.
A method for photoacoustic tomography is presented that uses circular integrals of the acoustic wave for the reconstruction of a three-dimensional image. Image reconstruction is a two-step process: In the first step data from a stack of circular integrating are used to reconstruct the circular projection of the source distribution. In the second step the inverse circular Radon transform is applied. In this article we establish inversion formulas for the first step, which involves an inverse problem for the axially symmetric wave equation. Numerical results are presented that show the validity and robustness of the resulting algorithm.