Tree-Space Statistics and Approximations for Large-Scale Analysis of Anatomical Trees

@article{Feragen2013TreeSpaceSA,
  title={Tree-Space Statistics and Approximations for Large-Scale Analysis of Anatomical Trees},
  author={Aasa Feragen and Megan Owen and Jens Petersen and Mathilde M. W. Wille and Laura H. Thomsen and Asger Dirksen and Marleen de Bruijne},
  journal={Information processing in medical imaging : proceedings of the ... conference},
  year={2013},
  volume={23},
  pages={
          74-85
        }
}
Statistical analysis of anatomical trees is hard to perform due to differences in the topological structure of the trees. In this paper we define statistical properties of leaf-labeled anatomical trees with geometric edge attributes by considering the anatomical trees as points in the geometric space of leaf-labeled trees. This tree-space is a geodesic metric space where any two trees are connected by a unique shortest path, which corresponds to a tree deformation. However, tree-space is not a… CONTINUE READING
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SHOWING 1-10 OF 22 REFERENCES

The maximal data piling direction for discrimination

  • J. Ahn, J. S. Marron
  • 2010
Highly Influential
4 Excerpts

Geometry of the space of phylogenetic trees

  • L. J. Billera, S. P. Holmes, K. Vogtmann
  • Adv. in Appl. Math.,
  • 2001
Highly Influential
6 Excerpts

A novel algorithm for computing the Fréchet mean in Hadamard spaces

  • M. Bacak
  • Preprint, http://arxiv.org/abs/1210.,
  • 2012
2 Excerpts

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