Abstract
We present a new method to analyze, classify and characterize 3D landmark-based shapes. It is based on a framework provided by oriented matroid theory, that is on a combinatorial encoding of convexity properties. We apply this method to a set of skull shapes presenting various types of coronal craniosynostosis.
Research supported by the OMSMO project (LIRMM), the TEOMATRO grant ANR-10-BLAN-0207, and the French-South African INLOO project (CNRS).
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Adams, D.C., Rohlf, F.J., Slice, D.E.: Geometric Morphometrics: Ten Years of Progress Following the “Revolution”. Ital. J. Zool. 71(1), 5–16 (2004)
Björner, A., Vergnas, M.L., Sturmfels, B., White, N., Ziegler, G.M.: Oriented Matroids, 2nd edn. Cambridge University Press (2000)
Cole III, T.M., Richtsmeier, J.T.: A Simple Method for Visualization of Influential Landmarks When Using Euclidean Distance Matrix Analysis. Am. J. of Phys. Anthropol. 107(3), 273–283 (1998)
von Cramon-Taubadel, N., Frazier, B.C., Lahr, M.M.: The Problem of Assessing Landmark Error in Geometric Morphometrics: Theory, Methods, and Modifications. Am. J. of Phys. Anthropol. 134(1), 24–35 (2007)
Heuzé, Y., Martínez-Abadías, N., Stella, J.M., Senders, C.W., Boyadjiev, S.A., Lo, L., Richtsmeier, J.T.: Unilateral and Bilateral Expression of a Quantitative Trait: Asymmetry and Symmetry in Coronal Craniosynostosis. J. Exp. Zool. Part B 318(2), 109–122 (2012)
Niu, J., Li, Z., Salvendy, G.: Mathematical Methods for Shape Analysis and form Comparison in 3D Anthropometry: A Literature Review. In: Duffy, V.G. (ed.) Digital Human Modeling, HCII 2007. LNCS, vol. 4561, pp. 161–170. Springer, Heidelberg (2007)
Richtsmeier, J.T., Deleon, V.B., Lele, S.R.: The Promise of Geometric Morphometrics. Yearbook of Physcial Anthropology 45, 63–91 (2002)
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Gioan, E., Sol, K., Subsol, G. (2012). A Combinatorial Method for 3D Landmark-Based Morphometry: Application to the Study of Coronal Craniosynostosis. In: Ayache, N., Delingette, H., Golland, P., Mori, K. (eds) Medical Image Computing and Computer-Assisted Intervention – MICCAI 2012. MICCAI 2012. Lecture Notes in Computer Science, vol 7512. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33454-2_66
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DOI: https://doi.org/10.1007/978-3-642-33454-2_66
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