4 papers · 1 filter
Sub-Riemannian Snakes on the Projective Line Bundle with Applications to Segmentation of SEM Images
Leanne Vis, Maxim Pisarenco, Bart M. N. Smets +2
Geodesic tracking on the projective line bundle has many uses, including the segmentation of objects in images. However, global tracking requires expensive dista…
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…
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…
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…