Exact frequency-domain reconstruction for thermoacoustic tomography. I. Planar geometry

By Yuan Xu, Dazi Feng, Lihong V. Wang. IEEE Transactions on Medical Imaging, 2002

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Thermoacoustic computed tomography with large planar receivers (2004, methodology): “In the literature, analytical formulas for calculating the density function from measurement data of the pressure have been derived for various sample geometries, such as planes, spheres, cylinders, and circles [4, 15, 16, 17, 9, 10, 8].”
Determining a Function from Its Mean Values Over a Family of Spheres (2004, methodology): “The recent articles [32], [33], [34] use the work of Norton and Linzer [27] for reconstruction in TCT.”
Two-Dimensional Fourier Transforms in Polar Coordinates (2011, background): “(Xu et al., 2002), and attempts have been made to translate ideas from the continuous domain to the discrete domain by developing numerical algorithms for such calculations (Averbuch et al.”
Time-domain reconstruction for thermoacoustic tomography in a spherical geometry (2002, unknown): “The exact reconstruction algorithms in planar and cylindrical geometries are reported in the companion papers [15], [16].”