New Approximation of a Scale Space Kernel on SE(3) and Applications in Neuroimaging

DOI10.1007/978-3-319-18461-6_4zbMath1444.94022arXiv1506.02529OpenAlexW1838190188MaRDI QIDQ3300285

J. M. Portegies, Gonzalo Sanguinetti, Stephan Meesters, Remco Duits

Publication date: 28 July 2020

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.02529

zbMATH Keywords

group convolutiontractographycontextual enhancementleft-invariant diffusionscale space on SE(3)

Mathematics Subject Classification ID

Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Subelliptic equations (35H20)

Related Items

New exact and numerical solutions of the (convection-)diffusion kernels on \(\mathrm{SE}(3)\) ⋮ PDE-based group equivariant convolutional neural networks ⋮ Nilpotent approximations of sub-Riemannian distances for fast perceptual grouping of blood vessels in 2D and 3D

Uses Software

• MRtrix

Cites Work

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• Numerical Schemes for Linear and Non-linear Enhancement of DW-MRI
• A General Structure Tensor Concept and Coherence-Enhancing Diffusion Filtering for Matrix Fields
• Integral representations of resolvents and semigroups

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