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. 2019 Sep 16;9:13322. doi: 10.1038/s41598-019-49573-4

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© The Author(s) 2019

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 license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license 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 license, visit http://creativecommons.org/licenses/by/4.0/.

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Relationship between the detection rate and the Euclidean deviation (Median, interquartile range) for the PSISs. The results of the curvature method (CM) for a varying number of landmarks (No of LMs) in the spatial relationship matrix are depicted in shades of red. The result for the ITP method (ITPM) is depicted in blue. CM₄ detects the PS, ASISs, PSISs and ISs. In addition to the landmarks of CM₄, CM₈ detects the AIISs, IPYs, IITs and ITs. In addition to the landmarks of CM₈, CM₁₀ detects the PIISs and ISs. ITPM detects the PS, ASISs, PSISs, ISs and SP.