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. 2021 Jul 19;11:14731. doi: 10.1038/s41598-021-94141-4

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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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(a) Five bones selected from Fig. 8b, planned for treatment using an oblique double-cut rotation osteotomy, further optimized for length (a = [0.1–0.2], bone contact δ_d = δ_p = 0.2). The green bone represents the target. The residual length translation d_l, and transverse displacement, d_t, of the distal segment is quantified for (b) balanced ODCRO optimization as in Fig. 8b of the bone segments (a = 0.5) or (c) adjusted for optimal length (a = [0.1–0.2], bone contact δ_d = δ_p = 0.2) as shown in (a).