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• W2005016239 abstract "In many tomographic applications and elsewhere, there arises a need to reconstruct a function from the data on the boundary of some domain given either by the spherical means of the function, or by the corresponding solution of the free-space wave equation. In this paper, we show that the so-called universal back-projection formulas provide exact recovery of the unknown function with compact support for data on any quadric hypersurfaces that can be approximated by elliptic hypersurfaces. These quadric hypersurfaces include elliptic paraboloid as well as parabolic and elliptic cylinders." @default.
• W2005016239 created "2016-06-24" @default.
• W2005016239 creator A5024354228 @default.
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• W2005016239 date "2015-09-01" @default.
• W2005016239 modified "2023-10-14" @default.
• W2005016239 title "The universal back-projection formula for spherical means and the wave equation on certain quadric hypersurfaces" @default.
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• W2005016239 doi "https://doi.org/10.1016/j.jmaa.2015.04.018" @default.
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