Geodesic Tracking via New Data-Driven Connections of Cartan Type for Vascular Tree Tracking
Nicky J. van den Berg,
Bart M. N. Smets,
Gautam Pai
et al.
Abstract:We introduce a data-driven version of the plus Cartan connection on the homogeneous space $${\mathbb {M}}_2$$
M
2
of 2D positions and orientations. We formulate a theorem that describes all shortest and straight curves (parallel velocity and parallel momentum, respectively) with respect to this new data-driven connection and corresponding Riemannian manifold. Then we use these shortest curves for geodesic tracking of complex v… Show more
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