PMID: 15248585Jul 14, 2004Paper

Approximate analytic reconstruction in x-ray fluorescence computed tomography

Physics in Medicine and Biology
Patrick La Riviere

Abstract

X-ray fluorescence computed tomography (XFCT) is an emerging imaging modality that allows for the reconstruction of the distribution of nonradioactive elements within a sample from measurements of fluorescence x-rays produced by irradiation of the sample with monochromatic synchrotron radiation. XFCT is not a transmission tomography modality, but rather a stimulated emission tomography modality and thus correction for attenuation of the incident and fluorescence photons is essential if accurate images are to be obtained. In this work, we develop and characterize an approximate analytic approach to image reconstruction with attenuation correction in XFCT that is applicable when the incident beam attenuation is uniform and when a factor involving fluorescence attenuation and solid angle effects satisfies a certain approximation. When these conditions hold, we demonstrate that the XFCT imaging equation reduces to the exponential Radon transform, which can be readily inverted. The necessary approximation worsens as the total fluorescence attenuation in the sample grows, but the approach is found to be relatively robust as the approximation breaks down. In a long-axis, small solid angle geometry the proposed approach performs compar...Continue Reading

Citations

Sep 11, 2012·Physical Chemistry Chemical Physics : PCCP·Hongyu ChenJeffrey N Anker
Feb 22, 2014·IEEE Transactions on Bio-medical Engineering·Peng FengGe Wang
Apr 13, 2010·IEEE Transactions on Nuclear Science·Patrick La RiviereXiaochuan Pan
Jan 10, 2012·IEEE Transactions on Nuclear Science·L J MengP J La Riviere
Oct 12, 2010·IEEE Transactions on Medical Imaging·Eduardo X Miqueles, Alvaro R De Pierro
Apr 3, 2015·The Analyst·Biao DengTiqiao Xiao
Jan 22, 2010·Physics in Medicine and Biology·Eduardo X Miqueles, Alvaro R De Pierro
Jan 15, 2010·Physics in Medicine and Biology·Seong-Kyun CheongSang Hyun Cho
Aug 10, 2017·Optics Express·Zichao Wendy DiStefan M Wild
Jun 21, 2018·Scientific Reports·Keying XuYidong Yang
Jan 29, 2019·Contrast Media & Molecular Imaging·Yuyang LiMuhammet S Toprak

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