Fast 3D reconstruction method for differential phase contrast X-ray CT
Open accessAbstract
We present a fast algorithm for fully 3D regularized X-ray tomography reconstruction for both traditional and differential phase contrast measurements. In many applications, it is critical to reduce the X-ray dose while producing high-quality reconstructions. Regularization is an excellent way to do this, but in the differential phase contrast case it is usually applied in a slice-by-slice manner. We propose using fully 3D regularization to improve the dose/quality trade-off beyond what is possible using slice-by-slice regularization. To make this computationally feasible, we show that the two computational bottlenecks of our iterative optimization process can be expressed as discrete convolutions; the resulting algorithms for computation of the X-ray adjoint and normal operator are fast and simple alternatives to regridding. We validate this algorithm on an analytical phantom as well as conventional CT and differential phase contrast measurements from two real objects. Compared to the slice-by-slice approach, our algorithm provides a more accurate reconstruction of the analytical phantom and better qualitative appearance on one of the two real datasets.
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The class of normal-convolutional inverse problems includes denoising, deconvolution, MRI, X-ray CT, and diffraction tomography.
“The class trivially includes denoising and deconvolution, but also includes MRI [35], X-ray CT [13], [16], and diffraction tomography (DT).”
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- Authors
- McCann, M. T., Nilchian, M., Stampanoni, M., & Unser, M.
- Affiliations
- École Polytechnique Fédérale de Lausanne (CH)
- Paul Scherrer Institute (CH)
- Corresponding author
- McCann, Michael T.
- Venue
- Optics Express
- Publisher
- Optica Publishing Group
- Published
- 2016-06-20
- Volume
- 24
- Issue
- 13
- Pages
- 14564
- ISSN
- 1094-4087 (ISSN-L)
- OpenAlex
- W2463302795
- Cited by
- 28
- References
- 38
- Citations by year
- 2026: 1 · 2025: 2 · 2024: 1 · 2023: 3 · 2022: 1 · 2021: 2 · 2020: 5 · 2019: 6 · 2018: 4 · 2017: 3
- FWCI
- 4.86
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Locations
- Optics Express (publishedVersion)
- PubMed (publishedVersion)
- DORA PSI (Paul Scherrer Institute) (submittedVersion, other-oa)
- Infoscience (Ecole Polytechnique Fédérale de Lausanne) (submittedVersion)
- Funders
- European Research Council (ERC) (267439 - FUN-SP)
- Topics
- Physical Sciences › Physics and Astronomy › Radiation › Advanced X-ray Imaging Techniques
- Physical Sciences › Engineering › Biomedical Engineering › Advanced X-ray and CT Imaging
- Physical Sciences › Mathematics › Mathematical Physics › Numerical methods in inverse problems
- Keywords
- differential phase contrast, X-ray tomography, iterative reconstruction, X-ray dose reduction, discrete convolution, computational efficiency
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