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- W2295882015 abstract "We propose an efficient algorithm for discovering the high-level topological structure of a collection of 3-dimensional trajectories. Our algorithm computes a sparse graph representing the latent bundling and unbundling structure of the trajectory data. Our motivation stems from the emerging area of brain tractography, which aims to construct the connectome of human brain white matter fibers. These fibers can be inferred noninvasively using magnetic resonance imaging (MRI) diffusion scans of the brain interior and modeled abstractly as a set of time-independent geometric trajectories in a three-dimensional brain space. Real neuronal fiber pathways exhibit complex but natural bundling structures, which elude existing MRI reconstruction techniques, but are easily captured by our algorithm. We validate our algorithms both theoretically (uniqueness of the graph representation and provably efficient algorithms) and empirically (using both synthetic and real scanned brain data sets)." @default.
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- W2295882015 date "2015-11-03" @default.
- W2295882015 modified "2023-09-27" @default.
- W2295882015 title "A reeb graph approach to tractography" @default.
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- W2295882015 doi "https://doi.org/10.1145/2820783.2820848" @default.
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