Universal back-projection algorithm for photoacoustic computed tomography

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Fast Semi-Analytical Model-Based Acoustic Inversion for Quantitative Optoacoustic Tomography (2010, methodology): “Back-projection formulas exist for several detection geometries and are implemented either in the spatio-temporal domain [6], [14] or in the Fourier domain [5].”
Reconstruction and time reversal in thermoacoustic tomography in acoustically homogeneous and inhomogeneous media (2008, background): “A different set of formulae was obtained in all dimensions in [36] (in 3D, the formula of [36] was obtained earlier in [63]).”
Temporal back-projection algorithms for photoacoustic tomography with integrating line detectors (2007, methodology): “The first exact BP formulae in three dimensions were derived for a spherical detection surface [18, 19, 35] and in two dimensions for a circular detection curve [35, 36].”
Quantitative spectroscopic photoacoustic imaging: a review. (2012, methodology): “(9) computationally, it may, for example, be written in a weak formulation and implemented on a discretized mesh using the finite element method.”
Mathematics of thermoacoustic tomography (2007, background): “12) is equivalent to one of the formulas derived in [130] for the 3D case.”
The Application of Compressed Sensing for Photo-Acoustic Tomography (2009, methodology): “For instance, an exact solution using back-projections that can be generalized to any geometry has been developed by Xu and Wang [12].”