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Discrete geodesic parallel coordinates
ACM Transactions on Graphics, 2019Geodesic 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, Davide Pellis, Florian Rist
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Design and analysis of filament-wound composite pressure vessels based on non-geodesic winding
Composite Structures, 2019In this paper a novel design approach was proposed for determining the optimal winding parameters of composite pressure vessels based on non-geodesic trajectories.
Weidong Zhu
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Geodesic Lens Antennas for 5G and Beyond
IEEE Communications Magazine, 2022This article summarizes the recently discovered opportunities of geodesic lenses for producing high-performing antennas for 5G/6G communications. First, we explain the operation of these lenses based on Geometrical Optics with rays that follow “the ...
O. Quevedo–Teruel +6 more
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Semisupervised Feature Extraction of Hyperspectral Image Using Nonlinear Geodesic Sparse Hypergraphs
IEEE Transactions on Geoscience and Remote Sensing, 2021Recently, 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
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Ergodic Properties of Geodesic Flows on Closed Riemannian Manifolds of Negative Curvature
, 2020Citation 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
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Geodesics and Almost Geodesics Curves
Results in Mathematics, 2018An \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
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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
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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
Geodesic compatibility and integrability of geodesic flows
Journal of Mathematical Physics, 2003We 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
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