New exact and numerical solutions of the (convection-)diffusion kernels on \(\mathrm{SE}(3)\)

DOI10.1016/j.difgeo.2017.06.004zbMath1377.35252arXiv1604.03843OpenAlexW2963138134WikidataQ115355361 ScholiaQ115355361MaRDI QIDQ2399780

J. M. Portegies, Remco Duits

Publication date: 24 August 2017

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.03843

zbMATH Keywords

Lie groupsFourier analysisdiffusion processpartial differential equationsSturm-Liouville theorydirection process

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items

New exact and numerical solutions of the (convection-)diffusion kernels on \(\mathrm{SE}(3)\), A neurogeometric stereo model for individuation of 3D perceptual units, Total variation and mean curvature PDEs on the homogeneous space of positions and orientations, Optimal paths for variants of the 2D and 3D Reeds-Shepp car with applications in image analysis, Nilpotent approximations of sub-Riemannian distances for fast perceptual grouping of blood vessels in 2D and 3D, Measure-valued variational models with applications to diffusion-weighted imaging

Uses Software

• DLMF

Cites Work

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