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

E-ISSN： 1600-5767|48|2|334-343

ISSN： 0021-8898

Source： JOURNAL OF APPLIED CRYSTALLOGRAPHY (ELECTRONIC), Vol.48, Iss.2, 2015-04, pp. : 334-343

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Abstract

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.