Effective Discretization of Direct Reconstruction Schemes For Photoacoustic Imaging In Spherical Geometries

Recently, kernel methods for the recovery of a function from its spherical means in spherical acquisition geometry have been proposed. We present efficient algorithms for these formulas in the two- and three-dimensional cases. Our scheme applies Fourier techniques for certain convolution type integrals and discretizes physical space on a polar and a spherical grid, respectively.