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On the Inversion of the xfct Radon Transform
Author(s) -
Miqueles Eduardo X.,
De Pierro Álvaro Rodolfo
Publication year - 2011
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/j.1467-9590.2011.00527.x
Subject(s) - novikov self consistency principle , inversion (geology) , partial differential equation , radon transform , tomography , radon , mathematical analysis , spectral analysis , physics , mathematics , optics , geology , pure mathematics , seismology , quantum mechanics , spectroscopy , tectonics
It has been recently shown by Fokas [1, 2, 3] and Novikov [4] that the spectral analysis of a particular partial differential equation yields the inversion formula for the problem of computerized emission tomography. In this paper, we show that a similar analysis can be made for the case of X‐ray fluorescence tomography.