An accurate projection model for diffraction image formation and inversion using a polychromatic cone beam

W. van Aarle , Wolfgang Ludwig (1) , A. King (2) , D. Penumadu

1 MATEIS - Matériaux, ingénierie et science [Villeurbanne]
2 ESRF - European Synchrotron Radiation Facility

Recently, the concept of X-ray diffraction contrast tomography (DCT) has been extended to the case of more widely available laboratory source CT systems. Using well known concepts from geometrical ray optics, an exact formulation is derived for the forward and backward projection geometry encountered under polychromatic cone beam illumination, and it is shown how this projection model can be efficiently implemented in practice. The new projection model is subsequently used for iterative tomographic reconstruction of the three-dimensional shape of a grain from a set of experimentally observed cone beam projections and shows a clear improvement compared to the simplified projection model used previously. © 2015 International Union of Crystallography.

Mots clés: Three dimensional computer graphics; Tomography; X ray diffraction; Cone-beam projection; Diffraction contrast; Diffraction image formation; Forward-and-backward; Iterative tomographic reconstruction; Laboratory source; Projection models; Three-dimensional shape; Computerized tomography

Domaines: Matériaux

W. van Aarle, Wolfgang Ludwig, A. King, D. Penumadu. An accurate projection model for diffraction image formation and inversion using a polychromatic cone beam. Journal of Applied Crystallography, 2015, 48, pp.334-343. ⟨10.1107/S1600576715000928⟩. ⟨hal-01804711⟩