Reconstruction of Abel-transformable images: The Gaussian basis-set expansion Abel transform method

By V. Dribinski, A. Ossadtchi, V. Mandelshtam, H. Reisler. 2002

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Strongly correlated quantum fluids: ultracold quantum gases, quantum chromodynamic plasmas and holographic duality (2012, methodology): “For this method, the three dimensional density n(x, y, z) is determined by tomographic imaging, using an inverse Abel transform [107] to determine n from the measured column density.”
Quantum simulation of the Hubbard model with ultracold fermions in optical lattices (2018, positive): “n ( x, √ y2 + z2), however, the three-dimensional density profile can be reconstructed from the column density using an inverse Abel transformation [121,122].”
Direct Probing of the Mott Crossover in the SU(N) Fermi-Hubbard Model (2015, methodology): “Exploiting the carefully characterized geometry of the trap configuration, we determine the local 3D density nðr; yÞ by performing an inverse Abel transform with y as the symmetry axis [25].”