33 citations · 116 across the 33 of their papers we have counts for
5 papers · 1 filter
Principal subbundles for dimension reduction
Morten Akhøj, James Benn, Erlend Grong +2
In this paper we demonstrate how sub-Riemannian geometry can be used for manifold learning and surface reconstruction by combining local linear approximations of a point cloud to o…
Long-time existence of Brownian motion on configurations of two landmarks
Karen Habermann, Philipp Harms, Stefan Sommer
We study Brownian motion on the space of distinct landmarks in , considered as a homogeneous space with a Riemannian metric inherited from a right-invariant metric on…
Sliding at first order: Higher-order momentum distributions for discontinuous image registration
Lili Bao, Jiahao Lu, Shihui Ying +1
In this paper, we propose a new approach to deformable image registration that captures sliding motions. The large deformation diffeomorphic metric mapping (LDDMM) registration met…
A function space perspective on stochastic shape evolution
Elizabeth Baker, Thomas Besnier, Stefan Sommer
Modelling randomness in shape data, for example, the evolution of shapes of organisms in biology, requires stochastic models of shapes. This paper presents a new stochastic shape m…
A Denoising Diffusion Model for Fluid Field Prediction
Gefan Yang, Stefan Sommer
We propose a novel denoising diffusion generative model for predicting nonlinear fluid fields named FluidDiff. By performing a diffusion process, the model is able to learn a compl…