112 citations · 411 across the 40 of their papers we have counts for
6 papers · 2 filters
Diffusion-Shock PDEs for Deep Learning on Position-Orientation Space
Finn M. Sherry, Kristina Schaefer, Remco Duits
We extend Regularised Diffusion-Shock (RDS) filtering from Euclidean space [1] to position-orientation space . This has n…
Crossing-Preserving Geodesic Tracking on Spherical Images
Nicky J. van den Berg, Finn M. Sherry, Tos T. J. M. Berendschot +1
In image analysis one often encounters spherical images, for instance in retinal imaging. The behavior of the vessels in the retina is an indicator of several diseases. To automate…
Diffusion-Shock Filtering on the Space of Positions and Orientations
Finn M. Sherry, Kristina Schaefer, Remco Duits
We extend Regularised Diffusion-Shock (RDS) filtering from Euclidean space to the space of positions and orientations . This…
Analysis and Computation of Geodesic Distances on Reductive Homogeneous Spaces
Remco Duits, Gijs Bellaard, Barbara Tumpach
Many geometric machine learning and image analysis applications, require a left-invariant metric on the 5D homogeneous space of 3D positions and orientations SE(3)/SO(2). This is d…
Universal Collection of Euclidean Invariants between Pairs of Position-Orientations
Gijs Bellaard, Bart M. N. Smets, Remco Duits
Euclidean E(3) equivariant neural networks that employ scalar fields on position-orientation space M(3) have been effectively applied to tasks such as predicting molecular dynamics…
Orientation Scores should be a Piece of Cake
Finn M. Sherry, Chase van de Geijn, Erik J. Bekkers +1
We axiomatically derive a family of wavelets for an orientation score, lifting from position space to position and orientation space , with f…