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A Combinatorial Method for 3D Landmark-Based Morphometry: Application to the Study of Coronal Craniosynostosis

  • Emeric Gioan
  • Kevin Sol
  • Gérard Subsol
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7512)

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.

Keywords

Convex Hull Convexity Property Oriented Matroid Skull Shape Anterior Clinoid Process 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    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)CrossRefGoogle Scholar
  2. 2.
    Björner, A., Vergnas, M.L., Sturmfels, B., White, N., Ziegler, G.M.: Oriented Matroids, 2nd edn. Cambridge University Press (2000)Google Scholar
  3. 3.
    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)CrossRefGoogle Scholar
  4. 4.
    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)CrossRefGoogle Scholar
  5. 5.
    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)CrossRefGoogle Scholar
  6. 6.
    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)CrossRefGoogle Scholar
  7. 7.
    Richtsmeier, J.T., Deleon, V.B., Lele, S.R.: The Promise of Geometric Morphometrics. Yearbook of Physcial Anthropology 45, 63–91 (2002)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Emeric Gioan
    • 1
  • Kevin Sol
    • 1
  • Gérard Subsol
    • 1
  1. 1.LIRMM, CNRS / Université Montpellier 2France

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