Results 241 to 250 of about 201,081 (270)
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Invariant curvature-based Fourier shape descriptors
Journal of Visual Communication and Image Representation, 2012Shape descriptors have demonstrated encouraging potential for retrieving images based on image content, and a number of them have been reported in the literature. Nevertheless, most of the reported descriptors are still face accuracy and computational challenges.
Otman Basir
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Topological invariants and curvature
2022Summary: It is widely known that the fundamental group of a Lie group, and in general a symmetric space, is abelian. In the current paper it is demonstrated that any finitely generated abelian group is the fundamental group of a compact Lie group. In addition, it is proved that for any arbitrary group there is a differentiable manifold of dimension ...
Toomanian, Megerdich +1 more
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Tensor Invariants for Gravitational Curvatures
2021<p>The tensor invariants (or invariants of tensors) for gravity gradient tensors (GGT, the second-order derivatives of the gravitational potential (GP)) have the advantage of not changing with the rotation of the corresponding coordinate system, which were widely applied in the study of gravity field (e.g., recovery of global gravity ...
Xiao-Le Deng +3 more
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Gaussian curvature-based geometric invariance
2009 6th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology, 2009In this paper we derive a novel geometric invariance on surfaces that it is preserved under affine and weak perspective transformations, and it is local, intrinsic and computed from the differential geometry of the surface. Our 3D shape features are based on the Gaussian curvature and Mean curvature.
P. Tosranon +3 more
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Invariance Conditions for Random Curvature Models
Methodology And Computing In Applied Probability, 2003The author introduces a class of probability laws suggesed by the geometric optics of the human eye. These models are concerned with the representation of random corneal curvature measurements \(y\) indexed by concentric equally-spaced locations \(v= \{\theta_1,\theta_2,\dots, \theta_\ell\}\).
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Curvature Invariants for Anti-invariant Riemannian Submersions from Cosymplectic Space Forms
Mediterranean Journal of Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Total curvatures of geodesic spheres associated to quadratic curvature invariants
Annali di Matematica Pura ed Applicata, 2004The purpose of this paper is to contribute to the study of the following problem: To what extent do the properties of sufficiently small geodesic spheres determine the Riemannian geometry of the ambient space? The volume conjecture of \textit{A. Gray} and \textit{L. Vanhecke} [Acta Math.
García-Río, Eduardo +2 more
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Gaussian-curvature-derived invariants for isometry
Science China Information Sciences, 2012Surface deformations without tearing or stretching, preserving the intrinsic properties, are called isometries. This paper presents a new definition of Gaussian curvature moments (GCMs) by the integral of n power of Gaussian curvature. Then a series of moment invariants, called Gaussian curvature moment invariants (GCMIs), are derived via GCMs.
WeiGuo Cao +4 more
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Curvature invariants and symmetric spaces
1992The aim of this paper is to show that each irreducible locally symmetric space of dimension \(n\leq 20\) is completely characterized in the class of all Riemannian manifolds (up to a local isometry) by a small number of curvature invariants (involving some quadratic and some cubic invariants).
FERRAROTTI, Massimo, Vanhecke L.
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