Abstract
Symmetry analysis of the surface of anatomical structures offers good promise for diagnosis, follow-up and therapy planning of pathologies causing abnormal deformities. This paper addresses the problem of detecting and modelling symmetry of bilateral structures, even in cases where the transformation between the two lateral parts is not a simple planar reflection but a symmetry with respect to a curved symmetry surface. We describe a new method to compute a piecewise curved symmetry surface for 3D objects. The algorithm is based on the computation of a 3D symmetry line, which defines strips by orthogonal slicing. A local symmetry plane is computed for each strip by an ICP-like method. The set of all local symmetry planes forms a piecewise symmetry surface. The method is first validated on parametric objects. Then, we show its potential as a non-invasive technique for the study of patients affected by scoliosis. Finally, our approach is generic enough that it could be extended to other medical applications such as facial dysplasia.
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Notes
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Acquisition device developed by AXS Medical (DMS Imaging): http://www.dms.com/biomod-3s/.
References
Aroeira, R.M.C., de Las Casas, E.B., Pertence, A.E.M., Greco, M., Tavares, J.M.R.: Non-invasive methods of computer vision in the posture evaluation of adolescent idiopathic scoliosis. J. Bodyw. Mov. Ther. 20(4), 832–843 (2016)
Chetverikov, D., Svirko, D., Stepanov, D., Krsek, P.: The trimmed iterative closest point algorithm. In: 16th International Conference on Pattern Recognition, vol. 3, pp. 545–548 (2002)
Combès, B.: Efficient computational tools for the statistical analysis of shape and asymmetry of 3D point sets. Ph.D. thesis. Signal and Image Processing, University of Rennes 1 (2010)
Combès, B., Hennessy, R., Waddington, J., Roberts, N., Prima, S.: Automatic symmetry plane estimation of bilateral objects in point clouds. In: 26th IEEE Conference on Computer Vision and Pattern Recognition, Anchorage, US (2008)
Davarpanah, S.H.: Brain mid-sagittal surface extraction based on fractal analysis. Neural Comput. Appl. 30(1), 153–162 (2018)
Di Angelo, L., Di Stefano, P., Spezzaneve, A.: Symmetry line detection for non-erected postures. Int. J. Interact. Des. Manuf. 7(4), 271–276 (2013)
Di Angelo, L., Di Stefano, P.: Bilateral symmetry estimation of human face. Int. J. Interact. Des. Manuf. 7(4), 217–225 (2013)
Drerup, B., Hierholzer, E.: Back shape measurement using video rasterstereography and three-dimensional reconstruction of spinal shape. Clin. Biomech. 9(1), 28–36 (1994)
Drerup, B.: Rasterstereographic measurement of scoliotic deformity. Scoliosis 9(1), 22 (2014)
Krajíček, V., Dupej, J., Velemínská, J., Pelikán, J.: Morphometric analysis of mesh asymmetry. J. WSCG 20(1), 65–72 (2012)
Kuijf, H.J., Veluw, S.J.V., Geerlings, M.I., Viergever, M.A., Jan, G., Koen, B.: Automatic extraction of the midsagittal surface from brain MR images using the Kullback–Leibler measure. Neuroinformatics 12 (2013)
Lee, S., Liu, Y.: Curved glide-reflection symmetry detection. IEEE Trans. Pattern Anal. Mach. Intell. 34(2), 266–278 (2012)
Lee, T.S.H., Fidler, S., Dickinson, S.: Detecting curved symmetric parts using a deformable disc model. In: IEEE International Conference on Computer Vision, Sydney, Australia, pp. 1753–1760 (2013)
Morand, M., Comas, O., Fiorio, C., Subsol, G.: Automatic extraction of the 3D symmetry line of back surface: application on scoliotic adolescents. In: 40th International IEEE Conference on Engineering in Medicine and Biology Society, EMBS, Honolulu, US (2018)
Quan, L., Zhang, Y., Tang, K.: Curved reflection symmetric axes on free-form surfaces and their extraction. IEEE Trans. Autom. Sci. Eng. 15(1), 111–126 (2018)
Sato, Y., Tamura, S.: Detecting planar and curved symmetries of 3D shapes from a range image. Comput. Vis. Image Underst. 64(1), 175–187 (1996)
Stegmann, M.B., Skoglund, K., Ryberg, C., Plads, R.P., Lyngby, D.K.: Mid-sagittal plane and mid-sagittal surface optimization in brain MRI using a local symmetry measure. In: Medical Imaging 2005: Image Processing, vol. 5747, pp. 568–579 (2005)
Sun, C., Sherrah, J.: 3D symmetry detection using the extended Gaussian image. IEEE Trans. Pattern Anal. Mach. Intell. 19(2), 164–169 (1997)
Acknowledgements
This work was supported by a CIFRE grant (French National Association of Research and Technology) for the doctoral work of Marion Morand.
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Morand, M., Comas, O., Subsol, G., Fiorio, C. (2018). Automatic Extraction of a Piecewise Symmetry Surface of a 3D Mesh: Application to Scoliosis. In: Reuter, M., Wachinger, C., Lombaert, H., Paniagua, B., Lüthi, M., Egger, B. (eds) Shape in Medical Imaging. ShapeMI 2018. Lecture Notes in Computer Science(), vol 11167. Springer, Cham. https://doi.org/10.1007/978-3-030-04747-4_14
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