Approximate analytic reconstruction in x-ray fluorescence computed tomography.

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