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A Cortical-Inspired Contour Completion Model Based on Contour Orientation and Thickness. [PDF]
J ImagingGalyaev I, Mashtakov A.
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Shape modeling of longitudinal medical images: from diffeomorphic metric mapping to deep learning. [PDF]
Front Artif IntellTay E, Tümer N, Zadpoor AA.
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Information-Theoretical Analysis of a Transformer-Based Generative AI Model. [PDF]
Entropy (Basel)Deb M, Ogunfunmi T.
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From Geometry of Hamiltonian Dynamics to Topology of Phase Transitions: A Review. [PDF]
Entropy (Basel)Pettini G, Gori M, Pettini M.
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Ray Transform of Symmetric Tensor Fields on Riemannian Manifolds with Conjugate Points. [PDF]
J Geom AnalHolman S, Krishnan VP.
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Cut-and-paste for impulsive gravitational waves with Λ: the mathematical analysis. [PDF]
Lett Math PhysSämann C +3 more
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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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Analysis and Applications, 2003
We consider a subRiemannian geometry induced by a step 3 subelliptic partial differential operator in ℝ3. Our main result is the characterization of a canonical submanifold through the origin, all of whose points are connected to the origin by infinitely many (subRiemannian) geodesics.
Greiner, Peter, Calin, Ovidiu
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We consider a subRiemannian geometry induced by a step 3 subelliptic partial differential operator in ℝ3. Our main result is the characterization of a canonical submanifold through the origin, all of whose points are connected to the origin by infinitely many (subRiemannian) geodesics.
Greiner, Peter, Calin, Ovidiu
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Geodesic as Limit of Geodesics on PL-Surfaces
2008We study the problem of convergence of geodesics on PL-surfaces and in particular on subdivision surfaces. More precisely, if a sequence (Tn)n∈N of PL-surfaces converges in distance and in normals to a smooth surface S and if Cn is a geodesic of Tn (i.e.
André Lieutier, Boris Thibert
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Proceedings of the 26th ACM SIGKDD International Conference on Knowledge Discovery & Data Mining, 2020
Together with the curse of dimensionality, nonlinear dependencies in large data sets persist as major challenges in data mining tasks. A reliable way to accurately preserve nonlinear structure is to compute geodesic distances between data points. Manifold learning methods, such as Isomap, aim to preserve geodesic distances in a Riemannian manifold ...
Meghana Madhyastha +6 more
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Together with the curse of dimensionality, nonlinear dependencies in large data sets persist as major challenges in data mining tasks. A reliable way to accurately preserve nonlinear structure is to compute geodesic distances between data points. Manifold learning methods, such as Isomap, aim to preserve geodesic distances in a Riemannian manifold ...
Meghana Madhyastha +6 more
openaire +1 more source