X-Ray Tomography in Polychromatic Case: Utilizing the Multicomponent Object Structure in the Reconstruction Method

Abstract

A new approach is proposed to solve the problem of tomographic reconstruction when scanning objects by polychromatic radiation. The application of algebraic reconstruction method, which makes it possible to take into account the spectral features of the interaction between object components and radiation, allows one to reconstruct component distribution maps. Simultaneous analysis of the thus obtained maps and the results of reconstruction using convolution and inverse projection makes it possible to interpret quantitatively the reconstruction result, despite the arising distortions. The optimization problem is solved under limitations imposed on the local composition. The reconstruction results for synthetic projections are discussed.