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Avoiding the calculation of x-ray transforms on combined ptychographic/absorption and fluorescence experiments

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Abstract

Diffraction imaging or absorption experiments combined with fluorescence measurements are easily performed with x-rays generated at a synchrotron source. Even though the inverse problem of finding the absorption pattern through measured patterns is well established in the literature, the reconstruction of the fluorescence map depends on the previous reconstruction of the absorption coefficient. In this work we propose an alternative model connecting the diffraction (or absorption) data with the fluorescence model using the so-called divergent beam transform. This approach can be used as a tool for high-performance computing algorithms reducing the noise and avoiding a complete previous absorption reconstruction.

© 2018 The Author(s)

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