49 citations · 100 across the 9 of their papers we have counts for
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math.GR2015★ 1 cited
A PDE Approach to Data-driven Sub-Riemannian Geodesics in SE(2)
Erik J. Bekkers, Remco Duits, Alexey Mashtakov +1
We present a new flexible wavefront propagation algorithm for the boundary value problem for sub-Riemannian (SR) geodesics in the roto-translation group $SE(2) = \mathbb{R}^2 \rtim…
math.GR2015★ 3 cited
Locally Adaptive Frames in the Roto-Translation Group and their Applications in Medical Imaging
R. Duits, M. H. J. Janssen, J. Hannink +1
Locally adaptive differential frames (gauge frames) are a well-known effective tool in image analysis, used in differential invariants and PDE-flows. However, at complex structures…