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. 2021 Dec 2;11:23347. doi: 10.1038/s41598-021-02722-0

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© The Author(s) 2021

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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The process of histogram partitioning. (a) The original MRI brain image. (b) The histogram of the MR image is utilized to divide the background and the brain regions. H(x) is the histogram of the MR image and P(x) is the normal distribution graph having the same mean and standard deviation as H(x). The blue line (L) represents the calculated threshold for background removal. (c) The final result of histogram partitioning.