Left-invariant diffusions on the space of positions and orientations and their application to crossing-preserving smoothing of HARDI images
type: Item
instance of: scholarly article
title: Left-invariant diffusions on the space of positions and orientations and their application to crossing-preserving smoothing of HARDI images
zbMATH Open document ID: 1235.92032
author: Remco Duits
author: Erik Franken
published in: International Journal of Computer Vision
publication date: 2012-04-12T00:00:00Z
Mathematics Subject Classification ID: 92C55
Mathematics Subject Classification ID: 22E70
Mathematics Subject Classification ID: 22E99
zbMATH DE Number: 6023243
zbMATH Keywords: high angular resolution diffusion imaging (HARDI)
zbMATH Keywords: scale spaces
zbMATH Keywords: Lie groups
zbMATH Keywords: partial differential equations
MaRDI profile type: Publication
full work available at URL: s11263-010-0332-z
OpenAlex ID: W2113864349
cites work: Axioms and fundamental equations of image processing
cites work: Q4526788
cites work: Integral representations of resolvents and semigroups
cites work: Q4813340
cites work: PDE-based Morphology for Matrix Fields: Numerical Solution Schemes
cites work: Q4330500
cites work: A cortical based model of perceptual completion in the roto-translation space
cites work: Computing Fourier transforms and convolutions on the 2-sphere
cites work: Left-invariant parabolic evolutions on $SE(2)$ and contour enhancement via invertible orientation scores Part I: Linear left-invariant diffusion equations on $SE(2)$
cites work: The explicit solutions of linear left-invariant second order stochastic evolution equations on the 2D Euclidean motion group
cites work: Left Invariant Evolution Equations on Gabor Transforms
cites work: Riemannian geometry for the statistical analysis of diffusion tensor data
cites work: Least action principle, heat propagation and subelliptic estimates on certain nilpotent groups
cites work: Hypoelliptic second order differential equations
cites work: Riemannian geometry and geometric analysis
cites work: The structure of images
cites work: Fast spherical Fourier algorithms.
cites work: Q4295435
cites work: Fundamental solutions and harmonic analysis on nilpotent groups
cites work: Q4064107
cites work: Weighted subcoercive operators on Lie groups
cites work: Coherence-enhancing diffusion filtering.
DOI: 10.1007/S11263-010-0332-Z
description: scientific article; zbMATH DE number 6023243