On the Addition and Comparison of Graphs Labeled with Stochastic Variables: Learnable Anatomical Catalogs |
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Authors: | Peter Hall |
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Institution: | (1) Department of Mathematical Sciences, University of Bath, Bath, BA2 7AY |
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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. |
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Keywords: | labeled graph eigenmodels incremental acquisition addition operators similarity operators vascular anatomy |
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