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. 2023 Oct 28;13:18479. doi: 10.1038/s41598-023-45518-0

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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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Calculation process of the relationship between phantom’s diameter and height. The segmented pixels (black) for each line were computed and stored (A). The index corresponding to the image-matrix column and the number of black pixels were scaled according to the CT’s resolution and consequently matched. A proportional increase of the diameter traversing from apex to base of a cone is shown in (B), thus each diameter can be assigned to a certain height. After smoothing, the resulting height was normalized using the known center of gravity as origin and saved in a diameter/height lookup-table.