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

Peter Hall
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Peter Hall: University of Bath

Journal of Combinatorial Optimization, 2001, vol. 5, issue 1, No 4, 43-58

Abstract: 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.

Keywords: labeled graph; eigenmodels; incremental acquisition; addition operators; similarity operators; vascular anatomy (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1023/A:1009881416744

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