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. 2023 Feb 24;13:3220. doi: 10.1038/s41598-023-30430-4

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© The Author(s) 2023

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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Qualitative visualization of the serial cone beam computed tomography volume. The columns represent three clusters of clinical asymmetries, i.e., mild, moderate, and marked. The (A) profile and (B) frontal images from three-time points (T0, T1, and T2) are presented as an overlay. The overlay images show an improvement in goodness after the proposed principal coordinate-based alignment is performed.