Analysis of (sub-)Riemannian PDE-G-CNNs
From MaRDI portal
Publication:6186783
DOI10.1007/s10851-023-01147-warXiv2210.00935OpenAlexW4366003524MaRDI QIDQ6186783
Gautam Pai, Daan L. J. Bon, Remco Duits, Bart M. N. Smets, Gijs Bellaard
Publication date: 10 January 2024
Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.00935
Riemannian geometrysub-Riemannian geometryPDEsconvolutional neural networksgeometric deep learningmorphological convolutionsscale space theory
Artificial neural networks and deep learning (68T07) PDEs in connection with computer science (35Q68)
Cites Work
- Unnamed Item
- Unnamed Item
- Morphological counterparts of linear shift-invariant scale-spaces
- Equivariant deep learning via morphological and linear scale space PDEs on the space of positions and orientations
- Extension of mathematical morphology in Riemannian spaces
- A cortical based model of perceptual completion in the roto-translation space
- Weighted subcoercive operators on Lie groups
- Nonsmooth analysis and Hamilton--Jacobi equations on Riemannian manifolds
- 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
- A geometric model of multi-scale orientation preference maps via Gabor functions
- Association fields via cuspless sub-Riemannian geodesics in SE(2)
- Elements of neurogeometry. Functional architectures of vision. Translated from the French by the author
- Geometrical optical illusion via sub-Riemannian geodesics in the roto-translation group
- Weak KAM theorem on non compact manifolds
- Morphological and linear scale spaces for fiber enhancement in DW-MRI
- A PDE Approach to Data-Driven Sub-Riemannian Geodesics in $SE$(2)
- Cut locus and optimal synthesis in the sub-Riemannian problem on the group of motions of a plane
- Maxwell strata in sub-Riemannian problem on the group of motions of a plane
- Left-invariant parabolic evolutions on $SE(2)$ and contour enhancement via invertible orientation scores Part I: Linear left-invariant diffusion equations on $SE(2)$
- PDE-based group equivariant convolutional neural networks
This page was built for publication: Analysis of (sub-)Riemannian PDE-G-CNNs