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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,657 papers · 148 categories

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3 results for “multi-orientation”

Connected Components on Lie Groups and Applications to Multi-Orientation Image Analysismath.DG

Algorithm finds connected components on Lie groups for multi-orientation image analysis.

problem Finding connected components in complex, multi-orientation images.

method Iterative algorithm using morphological dilations and Hamilton-Jacobi-Bellman kernels on Lie groups.

result Algorithm converges in finitely many steps and can differentiate between crossing and aligned structures.

Lie groups connected components multi-orientation image analysis retinal images

2024-09-26abs ↗pdf ↗

Geodesic Tracking via New Data-driven Connections of Cartan Type for Vascular Tree Trackingmath.DG

New data-driven Cartan connection tracks complex vascular structures.

problem Tracking complex vascular structures in multi-orientation images.

method Formulated a data-driven Cartan connection on

\mathbb{M}_2

for geodesic tracking.

result Improved geodesic tracking of vascular trees with globally optimal curves.

vascular tree tracking Cartan connection geodesic multi-orientation steepest descent

2022-08-23abs ↗pdf ↗

Optimal Transport on the Lie Group of Roto-translationscs.CV

This paper develops optimal transport methods on the roto-translation group SE2.

problem Optimal transport on the roto-translation group SE2 for image analysis.

method Develops a computational framework for optimal transportation over Lie groups, focusing on SE2. Uses Sinkhorn-like algorithm with efficient distance approximations.

result Advances in image barycentric interpolation, orientation field interpolation, and Wasserstein flows on SE2.

Optimal Transport Lie Groups Roto-Translation Image Analysis Geodesic Flows

2024-02-23abs ↗pdf ↗