Riemannian \(L^p\) averaging on Lie group of nonzero quaternions
From MaRDI portal
Publication:742343
DOI10.1007/s00006-013-0432-2zbMath1301.53030OpenAlexW2033032716WikidataQ115390484 ScholiaQ115390484MaRDI QIDQ742343
Publication date: 18 September 2014
Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00006-013-0432-2
Fréchet-Karcher barycenterLie group of nonzero quaternionslog-Euclidean quaternion meanquaternion averagingRiemannian center of mass
Analysis on real and complex Lie groups (22E30) Global Riemannian geometry, including pinching (53C20) Other geometric groups, including crystallographic groups (20H15) Other algebras built from modules (15A78)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stochastic algorithms for computing means of probability measures
- On approximating the Riemannian 1-center
- Riemannian geometry and matrix geometric means
- Large sample theory of intrinsic and extrinsic sample means on manifolds. I
- Images as embedded maps and minimal surfaces: Movies, color, texture, and volumetric medical images
- On the Convergence of Gradient Descent for Finding the Riemannian Center of Mass
- Riemannian $L^{p}$ center of mass: Existence, uniqueness, and convexity
- Riemannian median and its estimation
- Hypercomplex structures on four-dimensional Lie groups
- Bilateral Filtering: Theory and Applications
- Riemannian Metric and Geometric Mean for Positive Semidefinite Matrices of Fixed Rank
- Shape Manifolds, Procrustean Metrics, and Complex Projective Spaces
- Image Selective Smoothing and Edge Detection by Nonlinear Diffusion
- Riemannian center of mass and mollifier smoothing
- On the Convergence of a Class of Iterative Methods for Solving the Weber Location Problem
- An Algorithm to Compute Averages on Matrix Lie Groups
- Means and Averaging in the Group of Rotations
- Estimation of Riemannian Barycentres
- Consensus Optimization on Manifolds
- A Differential Geometric Approach to the Geometric Mean of Symmetric Positive-Definite Matrices
- Information Geometry of Covariance Matrix: Cartan-Siegel Homogeneous Bounded Domains, Mostow/Berger Fibration and Fréchet Median
- Stochastic Gradient Descent on Riemannian Manifolds
- Geometric Means in a Novel Vector Space Structure on Symmetric Positive‐Definite Matrices
- On averaging rotations