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. 2019 Jun 27;9:9317. doi: 10.1038/s41598-019-45586-1

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© The Author(s) 2019

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 license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license 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 license, visit http://creativecommons.org/licenses/by/4.0/.

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The proposed pipeline for 3D skeletonization to simplify viable myocardial geometry and enable automated quantification of the 3D viable myocardium model. (a) Laplacian-based maximal voluntary contraction (MVC) (b) and conformal contraction (c) were performed to abstract and smooth the shape of the complex structures of the 3D model. 3D skeletonization was performed by topological thinning, resulting in a 3D skeleton with its simplified geometry represented by lines. (d) During the skeletonization process, each segment of the structural model is contracted as a point on the 3D skeletal graph, so that the structural properties of the model can be automatically characterized using the skeletal graph (e).