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J Synchrotron Radiat. 2018 Nov 1;25(Pt 6):1847-1859. doi: 10.1107/S1600577518013681. Epub 2018 Oct 24.

A modified discrete tomography for improving the reconstruction of unknown multi-gray-level material in the `missing wedge' situation.

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National Synchrotron Radiation Laboratory, University of Science and Technology of China, 3#222, No. 42 Hezuohua South Road, Hefei, Anhui 230029, People's Republic of China.


Full angular rotational projections cannot always be acquired in tomographic reconstructions because of the limited space in the experimental setup, leading to the `missing wedge' situation. In this paper, a recovering `missing wedge' discrete algebraic reconstruction technique algorithm (rmwDART) has been proposed to solve the `missing wedge' problem and improve the quality of the three-dimensional reconstruction without prior knowledge of the material component's number or the material's values. By using oversegmentation, boundary extraction and mathematical morphological operations, `missing wedge' artifact areas can be located. Then, in the iteration process, by updating the located areas and regions, high-quality reconstructions can be obtained from the simulations, and the reconstructed images based on the rmwDART algorithm can be obtained from soft X-ray nano-computed tomography experiments. The results showed that there is the potential for discrete tomography.


discrete algebraic reconstruction technique (DART); limited-angle; missing wedge; over-segmentation; tomography


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