Metamorphoses through Lie group action
From MaRDI portal
Publication:2505644
DOI10.1007/s10208-004-0128-zzbMath1099.68116OpenAlexW2074745044WikidataQ115385164 ScholiaQ115385164MaRDI QIDQ2505644
Publication date: 28 September 2006
Published in: Foundations of Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10208-004-0128-z
Computing methodologies for image processing (68U10) Pattern recognition, speech recognition (68T10) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Machine vision and scene understanding (68T45) Methods of local Riemannian geometry (53B21) Variational aspects of group actions in infinite-dimensional spaces (58E40)
Related Items (50)
Existence and consistency of Wasserstein barycenters ⋮ Splines for image metamorphosis ⋮ Metamorphoses of functional shapes in Sobolev spaces ⋮ Bi-Invariant Dissimilarity Measures for Sample Distributions in Lie Groups ⋮ Minimal distortion morphs generated by time-dependent vector fields ⋮ Weight metamorphosis of varifolds and the LDDMM-Fisher-Rao metric ⋮ Geodesic matching with free extremities ⋮ The Euler-Poincaré theory of metamorphosis ⋮ Diffeomorphic Image Matching with Left-Invariant Metrics ⋮ Transport between RGB images motivated by dynamic optimal transport ⋮ An Image Registration Model in Electron Backscatter Diffraction ⋮ Time Discrete Geodesic Paths in the Space of Images ⋮ Diffeomorphic Density Matching by Optimal Information Transport ⋮ The fshape framework for the variability analysis of functional shapes ⋮ Unnamed Item ⋮ Euler's fluid equations: Optimal control vs optimization ⋮ Lagrangian reduction and wave mean flow interaction ⋮ A continuum mechanical approach to geodesics in shape space ⋮ Convergence of the Time Discrete Metamorphosis Model on Hadamard Manifolds ⋮ The TPS direct transport: a new method for transporting deformations in the size-and-shape space ⋮ Sparse adaptive parameterization of variability in image ensembles ⋮ Semiparametric estimation of shifts on compact Lie groups for image registration ⋮ HV geometry for signal comparison ⋮ Template-based image reconstruction facing different topologies ⋮ The momentum map representation of images ⋮ An interpolating distance between optimal transport and Fisher-Rao metrics ⋮ Statistical Analysis of Functions on Surfaces, With an Application to Medical Imaging ⋮ On the consistency of Fréchet means in deformable models for curve and image analysis ⋮ Analysis of the geodesic interpolating spline ⋮ Regularization of inverse problems via time discrete geodesics in image spaces ⋮ Elements of Statistical Inference in 2-Wasserstein Space ⋮ Bézier Curves in the Space of Images ⋮ Suitable spaces for shape optimization ⋮ The Camassa-Holm equation as an incompressible Euler equation: a geometric point of view ⋮ Incorporation of a deformation prior in image reconstruction ⋮ Teichmüller shape descriptor and its application to Alzheimer's disease study ⋮ A parametric registration model for warped distributions with Wasserstein's distance ⋮ Jacobi fields in groups of diffeomorphisms and applications ⋮ Template-based image reconstruction from sparse tomographic data ⋮ Shape Spaces ⋮ Image Extrapolation for the Time Discrete Metamorphosis Model: Existence and Applications ⋮ Statistical M-estimation and consistency in large deformable models for image warping ⋮ Image morphing in deep feature spaces: theory and applications ⋮ Overview of the geometries of shape spaces and diffeomorphism groups ⋮ Image reconstruction through metamorphosis ⋮ Morphing of Manifold-Valued Images Inspired by Discrete Geodesics in Image Spaces ⋮ Learning landmark geodesics using the ensemble Kalman filter ⋮ Distribution's template estimate with Wasserstein metrics ⋮ Most Likely Separation of Intensity and Warping Effects in Image Registration ⋮ Do ideas have shape? Idea registration as the continuous limit of artificial neural networks
Uses Software
This page was built for publication: Metamorphoses through Lie group action
