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. 2020 Nov 19;10:20146. doi: 10.1038/s41598-020-77156-1

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© The Author(s) 2020

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

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Reconstruction results of the model with QURT for various tilt-angle conditions. Although the missing wedge due to the poorer conditions gradually degrades the image quality from the model (Fig. 5a), the structural parts are well preserved compared to those with the conventional methods shown in Fig. 9. In addition, artificial images such as streaks and blurred background do not appear, and the edge parts are clearly resolved. From a rough judgement, if the tilt angle range is greater than or equal to about ± 60° and the step angle is less than or equal to about 5°, the structure is almost recovered.