Argonne National Laboratory

Optimization-Based Approach for Joint X-ray Fluorescence and Transmission Tomographic Inversion

TitleOptimization-Based Approach for Joint X-ray Fluorescence and Transmission Tomographic Inversion
Publication TypeJournal Article
Year of Publication2015
AuthorsDi, Z, Leyffer, S, Wild, SM
JournalSIAM Journal on Imaging Science
Other NumbersANL/MCS-P5327-0415
AbstractFluorescence tomographic reconstruction, based on the detection of photons coming from fluorescent emission, can be used for revealing the internal elemental composi- tion of a sample. On the other hand, conventional X-ray transmission tomography can be used for reconstructing the spatial distribution of the absorption coefficient inside a sample. In this work, we integrate both X-ray fluorescence and X-ray transmission data modalities and formulate a nonlinear optimization-based approach for reconstruction of the elemental composition of a given object. This model provides a simultaneous reconstruction of both the quantitative spatial distribution of all elements and the absorption effect in the sample. Mathematically speaking, we show that compared with the single-modality inversion (i.e., the X-ray transmission or fluorescence alone), the joint inversion provides a better-posed problem, which implies a better recovery. Therefore, the challenges in X-ray fluorescence tomography arising mainly from the effects of self absorption in the sample are partially mitigated. The use of this technique is demonstrated on the reconstruction of several synthetic samples.