Results 21 to 30 of about 373,220 (224)

Probability Distribution-Based Dimensionality Reduction on Riemannian Manifold of SPD Matrices

IEEE Access, 2020
Representing images and videos with Symmetric Positive Definite (SPD) matrices and utilizing the intrinsic Riemannian geometry of the resulting manifold has proved successful in many computer vision tasks.
Jieyi Ren, Xiao-Jun Wu
doaj   +1 more source

Discriminant analysis on Riemannian manifold of Gaussian distributions for face recognition with image sets

Computer Vision and Pattern Recognition, 2015
This paper presents a method named Discriminant Analysis on Riemannian manifold of Gaussian distributions (DARG) to solve the problem of face recognition with image sets.
Ruiping Wang, Zhiwu Huang, S. Shan, Xilin Chen   +3 more
semanticscholar   +1 more source

Biharmonic curves along Riemannian submersions

Miskolc Mathematical Notes
The purpose of this paper is to study biharmonic curves along Riemannian submersions. We first consider a Riemannian submersion from a Riemannian manifold onto Riemannian manifold and investigate under what conditions a biharmonic curve on the total ...
Gizem Köprülü Karakaş, Bayram Şahin
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A (CHR)3-flat trans-Sasakian manifold

Pracì Mìžnarodnogo Geometričnogo Centru, 2019
In [4] M. Prvanovic considered several curvaturelike tensors defined for Hermitian manifolds. Developing her ideas in [3], we defined in an almost contact Riemannian manifold another new curvaturelike tensor field, which is called a contact ...
Koji Matsumoto
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Warped Riemannian metrics for location-scale models

, 2017
The present paper shows that warped Riemannian metrics, a class of Riemannian metrics which play a prominent role in Riemannian geometry, are also of fundamental importance in information geometry.
A Terras, AW Knapp, B O’Neill, B Unal, C Atkinson, D Wierstra, DG Luenbeger, E Liao, EH Spanier, EL Lehmann, EP Hsu, F Dobarro, G Cheng, G Gallavotti, GA Young, GJ McLachlan, GN Watson, I Chavel, J Bensadon, JE Marsden, JM Lee, KV Mardia, M Arnaudon, M Arnaudon, M Emery, MP Do Carmo, N Ay, N Ikeda, NN Chentsov, O Kallenberg, P Petersen, PA Absil, PE Kloeden, R. L. Bishop, S Amari, S Helgason, S Lang, S Said, S Said, SI Amari, X Pennec, Y Chikuse, Y Ollivier   +42 more
core   +1 more source

Local properties of almost-Riemannian structures in dimension 3 [PDF]

, 2014
A 3D almost-Riemannian manifold is a generalized Riemannian manifold defined locally by 3 vector fields that play the role of an orthonormal frame, but could become collinear on some set $\Zz$ called the singular set.
Boscain, Ugo, Charlot, Grégoire, Gaye, Moussa, Mason, Paolo   +3 more
core   +4 more sources

Face video retrieval with image query via hashing across Euclidean space and Riemannian manifold

Computer Vision and Pattern Recognition, 2015
Retrieving videos of a specific person given his/her face image as query becomes more and more appealing for applications like smart movie fast-forwards and suspect searching.
Yan Li, Ruiping Wang, Zhiwu Huang, S. Shan, Xilin Chen   +4 more
semanticscholar   +1 more source

On hypersurfaces in a locally affine Riemannian Banach manifold II

International Journal of Mathematics and Mathematical Sciences, 2004
In our previous work (2002), we proved that an essential second-order hypersurface in an infinite-dimensional locally affine Riemannian Banach manifold is a Riemannian manifold of constant nonzero curvature.
El-Said R. Lashin, Tarek F. Mersal
doaj   +1 more source

On foliations of bounded mean curvature on closed three-dimensional Riemannian manifolds

Pracì Mìžnarodnogo Geometričnogo Centru, 2023
The notion of systole of a foliation sys(ℱ) on an arbitrary foliated closed Riemannian manifold (M,ℱ) is introduced. A lower bound on sys(ℱ) of a bounded mean curvature foliation is given.
Dmytry Bolotov
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Induced Riemannian structures on null hypersurfaces

, 2017
Given a null hypersurface $L$ of a Lorentzian manifold, we construct a Riemannian metric $\widetilde{g}$ on it from a fixed transverse vector field $\zeta$.
Ashtekar, Ashtekar, Ashtekar, Atindogbe, Birman, Cheeger, Chen, Christodoulou, Christodoulou, Duggal, Duggal, Fefferman, Flores, Gourgoulhon, Grant, Gutiérrez, Gutiérrez, Gutiérrez, Harris, Katsuno, Katsuno, Klainerman, Kupeli, O'Neill, Ponge, Schouten, Solodukhin   +26 more
core   +1 more source