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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

Ergodic Properties of Geodesic Flows on Closed Riemannian Manifolds of Negative Curvature

, 2020
Citation in format AMSBIB \Bibitem{Ano67} \by D.~V.~Anosov \paper Geodesic flows on closed Riemannian manifolds of negative curvature \serial Trudy Mat. Inst. Steklov. \yr 1967 \vol 90 \pages 3--210 \mathnet{http://mi.mathnet.ru/tm2795} \mathscinet{http:/
D. Anosov
semanticscholar   +1 more source

Geodesics and Almost Geodesics Curves

Results in Mathematics, 2018
An \textit{almost geodesic} of an affine connection \(\nabla\) on a manifold is a curve \(x(t)\) in the manifold so that \[ \nabla^2_{\dot{x}}\dot{x}=a\nabla_{\dot{x}} \dot{x}+b\dot{x}, \] for some real-valued continuous functions \(a(t)\), \(b(t)\).
Olga Belova   +2 more
openaire   +2 more sources

Weaving geodesic foliations

ACM Transactions on Graphics, 2019
We study discrete geodesic foliations of surfaces---foliations whose leaves are all approximately geodesic curves---and develop several new variational algorithms for computing such foliations.
Josh Vekhter   +4 more
semanticscholar   +1 more source

Discrete geodesic parallel coordinates

ACM Transactions on Graphics, 2019
Geodesic parallel coordinates are orthogonal nets on surfaces where one of the two families of parameter lines are geodesic curves. We describe a discrete version of these special surface parameterizations and show that they are very useful for specific ...
Hui Wang   +4 more
semanticscholar   +1 more source

Geodesic compatibility and integrability of geodesic flows

Journal of Mathematical Physics, 2003
We give a natural geometric condition called geodesic compatibility that implies the existence of integrals in involution of the geodesic flow of a pseudo-Riemannian metric. We prove that if two metrics satisfy the condition of geodesic compatibility then we can produce a hierarchy of metrics that also satisfy this condition. A lot of metrics studed in
openaire   +1 more source

Geodesic Active Contours

Proceedings of IEEE International Conference on Computer Vision, 1995
V. Caselles, R. Kimmel, G. Sapiro
semanticscholar   +1 more source

Geodesics

2023
David Xianfeng Gu, Emil Saucan
  +4 more sources

Computing Large Deformation Metric Mappings via Geodesic Flows of Diffeomorphisms

International Journal of Computer Vision, 2005
M. Beg, M. Miller, A. Trouvé, L. Younes
semanticscholar   +1 more source

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