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math.DG2025
Roto-Translation Invariant Metrics on Position-Orientation Space
Gijs Bellaard, Bart M. N. Smets
Riemannian metrics on the position-orientation space M(3) that are roto-translation group SE(3) invariant play a key role in image analysis tasks like enhancement, denoising, and s…
math.DG2025
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…
math.DG2025
Flow Matching on Lie Groups
Finn M. Sherry, Bart M. N. Smets
Flow Matching (FM) is a recent generative modelling technique: we aim to learn how to sample from distribution by flowing samples from some distribution $\mathfrak…