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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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Transition of the average reconstruction error and the number of QU pieces used in each reconstruction process step of the model simulation. (a) Each average error calculated between the model and the reconstructed image is normalised by dividing by the maximum value of the model grey-level. Error is gradually reduced as the image definition increases. At a QU size of 4 pixels (128 image definition), further error reduction becomes negligible, and the reconstructed structure roughly appears at this step. (b) Number of QUs used in the reconstruction and the number rearranged in each step. There is a large difference for the number of rearranged QUs between the single base tilt angle and the plural ones, suggesting that the effect of a large number of rearranged QUs when using the plural base angles is the removal of the artificial mosaic-like pattern shown in Fig. 4h. However, the difference of the errors for the same choice is small as shown in (a).