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On the Addition and Comparison of Graphs Labeled with Stochastic Variables: Learnable Anatomical Catalogs

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  • Peter Hall

    (University of Bath)

Abstract

We provide an operator for the addition of a pair of graphs, labeled with continuous variables which are subject to stochastic variation. We also provide an operator for measuring dissimilarity between a pair of such graphs. We use such a representation and operators to model a collection of vascular anatomy which accounts for inter-individual variations in both branching structure and in vessel shape. The model may be incrementally acquired, and is thus a catalog of anatomy whose content may be learned. The model may be used in applications such as the reconstruction of vasculature in three-dimensions from x-ray images, which we briefly outline.

Suggested Citation

  • Peter Hall, 2001. "On the Addition and Comparison of Graphs Labeled with Stochastic Variables: Learnable Anatomical Catalogs," Journal of Combinatorial Optimization, Springer, vol. 5(1), pages 43-58, March.
    • Handle: RePEc:spr:jcomop:v:5:y:2001:i:1:d:10.1023_a:1009881416744
    DOI: 10.1023/A:1009881416744
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