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Properties of a Joint Reconstruction Method for Edge-Illumination X-ray Phase-Contrast Tomography

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Abstract

Edge illumination X-ray phase-contrast tomography (EIXPCT) is an emerging technique for estimating the complex-valued refractive index distribution of an imaged object. A conventional EIXPCT system requires measurement of multiple images at each tomographic view angle, leading to prolonged data acquisition times. Recently, a joint reconstruction (JR) method has been developed to enable single-shot EIXPCT imaging without restrictive assumptions related to the object, imaging geometry or hardware. In the JR method, estimates of the refractive index distribution are recast as the solution to a nonlinear optimization problem. While a preliminary study has demonstrated the potential usefulness of the JR method, its numerical properties remain largely unexplored. In this project, the convexity, cross-talk properties and noise properties of the JR method are investigated.

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Acknowledgements

This work was supported in part by NIH awards EB020604 and EB023045 and NSF CBET 1263988. We would like to thank Frank Brooks for his comments that greatly improved the manuscript.

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Authors and Affiliations

  1. Washington University in St Louis, Campus Box 1097, One Brookings Drive, St. Louis, MO, 63130, USA

    Yujia Chen & Mark A. Anastasio

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  1. Yujia Chen
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  2. Mark A. Anastasio
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Correspondence to Mark A. Anastasio.

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This article is part of the Topical Collection on Recent Developments in Sensing and Imaging.

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Chen, Y., Anastasio, M.A. Properties of a Joint Reconstruction Method for Edge-Illumination X-ray Phase-Contrast Tomography. Sens Imaging 19, 7 (2018). https://doi.org/10.1007/s11220-018-0186-y

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  • DOI: https://doi.org/10.1007/s11220-018-0186-y

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