Results 321 to 330 of about 4,865,824 (373)

Semisupervised Feature Extraction of Hyperspectral Image Using Nonlinear Geodesic Sparse Hypergraphs

IEEE Transactions on Geoscience and Remote Sensing, 2021
Recently, the sparse representation (SR)-based graph embedding method has been extensively used in feature extraction (FE) tasks, but it is hard to reveal the complex manifold structure and multivariate relationship of samples in the hyperspectral image (
Yule Duan, Hong Huang, Tao Wang
semanticscholar   +1 more source

Geodesic Video Stabilization in Transformation Space

IEEE Transactions on Image Processing, 2017
We present a novel formulation of video stabilization in the space of geometric transformations. With the setting of the Riemannian metric, the optimized smooth path is cast as the geodesics on the Lie group embedded in transformation space. While solving the geodesics has a closed-form expression in a certain space, path smoothing can be easily ...
Lei Zhang, Xiaoqing Chen, X. Kong, Hua Huang   +3 more
semanticscholar   +3 more sources

Geodesics in Weakly Symmetric Spaces

Annals of Global Analysis and Geometry, 1997
A Riemannian manifold \(M\) is said to be weakly symmetric if for every two points \(p\) and \(q\) in \(M\) there is an isometry of \(M\) interchanging \(p\) and \(q\). The authors prove that every geodesic in a weakly symmetric space is an orbit of a one-parameter group of isometries of \(M\).
Berndt, Jürgen, Kowalski, Oldřich, Vanhecke, Lieven   +2 more
openaire   +2 more sources

Branching geodesics in normed spaces

Izvestiya: Mathematics, 2002
Summary: We study branching extremals of length functionals on normed spaces. This is a natural generalization of the Steiner problem in normed spaces. We obtain criteria for a network to be extremal under deformations that preserve the topology of networks as well as under deformations with splitting. We discuss the connection between locally shortest
Ivanov, A. O., Tuzhilin, A. A.
openaire   +2 more sources

Geodesic Structure of Janis-Newman-Winicour Space-time

, 2014
In the present paper we study the geodesic structure of the Janis-Newman-Winicour(JNW) space-time which contains a strong curvature naked singularity. This metric is an extension of the Schwarzschild geometry included a massless scalar field.
Shengquan Zhou, Ruanjing Zhang, Juhua Chen, Yong-jiu Wang   +3 more
semanticscholar   +1 more source

The space of geodesics

Geometriae Dedicata, 1991
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Beem, John K., Parker, Phillip E.
openaire   +1 more source

Integrable geodesic flows on homogeneous spaces

Sbornik: Mathematics, 2001
Consider a compact Lie group \(G\) endowed with a bi-invariant metric, a closed subgroup \(H\), and the homogeneous space \(M= G/H\), endowed with its geodesic flow \(O\). Let \(f_1,\dots, f_\ell\) be a basis of \(O\)-invariant real functions on \(T^1M\). For \(x\in M\), consider the subspace \(F_x\) of \(T^*_x M\) spanned by \(df_1(x),\dots, df_\ell(x)
Bolsinov, A. V., Jovanovič, Božidar Žarko   +1 more
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Surface matching with salient keypoints in geodesic scale space

Comput. Animat. Virtual Worlds, 2008
This paper develops a new salient keypoints‐based shape description which extracts the salient surface keypoints with detected scales. Salient geometric features can then be defined collectively on all the detected scale normalized local patches to form ...
Guangyu Zou, Jing Hua, Ming Dong, Hong Qin   +3 more
semanticscholar   +1 more source