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. 2023 Oct 9;13:17005. doi: 10.1038/s41598-023-44207-2

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© The Author(s) 2023, corrected publication 2024

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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Landmarks, reference lines, and definitions of linear and angular measurements. Linear measurements: 1. A_x (mm), the horizontal distance from point A to VRP. 2. PNS_x (mm), the horizontal distance from PNS to VRP. 3. U1_x (mm), the horizontal distance from U1E to VRP. 4. U6_x (mm), the horizontal distance from U6MBC to VRP. 5. A_y (mm), the vertical distance from point A to HRP. 6. PNS_y (mm), the vertical distance from PNS to HRP. 7. U1_y(mm), the vertical distance from U1E to HRP. 8. U6_y (mm), the vertical distance from U6MBC to HRP. 9. B_x (mm), the horizontal distance from point B to VRP. 10. Pog_x (mm), the horizontal distance from Pog to VRP. 11. L1_x (mm), the horizontal distance from L1E to VRP. 12. L6_x (mm), the horizontal distance from L6MBC to VRP. 13. B_y (mm), the vertical distance from point B to HRP. 14. Pog_y(mm), the vertical distance from Pog to HRP. 15. L1_y (mm), the vertical distance from L1E to HRP. 16. L6_y (mm), the vertical distance from L6MBC to HRP.