Department of Applied Mathematics, University of Campinas, Campinas, Brazil.
Phys Med Biol. 2010 Feb 21;55(4):1007-24. doi: 10.1088/0031-9155/55/4/007. Epub 2010 Jan 20.
X-ray fluorescence computed tomography (XFCT) is a relatively new synchrotron-based imaging modality aiming at reconstructing the distribution of nonradiative elements within a sample irradiated with high-intensity monochromatic x-rays. In a recent paper La Rivière (2004 Phys. Med. Biol. 49 2391-405) presented an approximated inversion method based on reducing the problem to the inversion of the exponential radon transform. In this paper we compare La Rivière's results with recently derived 'exact' analytic formulae for the generalized attenuated radon transform. We present numerical experiments with real and simulated data.
X 射线荧光计算机断层扫描（XFCT）是一种基于同步加速器的相对较新的成像方式，旨在重建用高强度单色 X 射线照射的样品中无辐射元素的分布。在最近的一篇论文中，拉·里维埃（2004 年《物理医学与生物学》第 49 卷第 2391-405 页）提出了一种基于将问题简化为对指数 Radon 变换的反演的近似反演方法。在本文中，我们将拉·里维埃的结果与最近推导出的广义衰减 Radon 变换的“精确”解析公式进行了比较。我们使用真实和模拟数据进行了数值实验。
