Results 11 to 20 of about 550,253 (159)
An information geometrical evaluation of Shannon information metrics on a discrete n-dimensional digital manifold [PDF]
Heliyon, 2023 The definition and nature of information have perplexed scientists due to its dual nature in measurements. The information is discrete and continuous when evaluated on a metric scale, and the Laplace-Beltrami operator and Gauss-Bonnet Theorem can map one
Ahmet Koltuksuz +2 more
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Laplace-Beltrami operator on Digital Curves
, 2016 National audienceMany problems in image analysis, digital processing and shape optimization are expressed as variational problems and involve the discritization of laplacians.
Roussillon, Tristan +3 more
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Heat kernel Laplace-Beltrami operator on digital surfaces
, 2016 Many problems in image analysis, digital processing and shape optimization can be expressed as variational problems involving the discretization of the Laplace-Beltrami operator. Such discretizations have have been widely studied for meshes or polyhedral
Roussillon, Tristan +7 more
core +9 more sources
Heat kernel Laplace-Beltrami operator on digital surfaces
, 2017 International audienceMany problems in image analysis, digital processing and shape optimization can be expressed as variational problems involving the discretization of the Laplace-Beltrami operator.
Roussillon, Tristan +3 more
core +9 more sources
Laplace-Beltrami operator on the orthogonal group in Cartesian coordinates [PDF]
, 2023 Using the embedded gradient vector field method (see P. Birtea, D. Comanescu, Hessian operators on constraint manifolds, J. Nonlinear Science 25, 2015), we present a general formula for the Laplace-Beltrami operator defined on a constraint manifold ...
Birtea, Petre +2 more
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Nonlinear Choquard equations on hyperbolic space [PDF]
Opuscula Mathematica, 2022 In this paper, our purpose is to prove the existence results for the following nonlinear Choquard equation \[-\Delta_{\mathbb{B}^{N}}u=\int_{\mathbb{B}^N}\dfrac{|u(y)|^{p}}{|2\sinh\frac{\rho(T_y(x))}{2}|^\mu} dV_y \cdot |u|^{p-2}u +\lambda u\] on the ...
Haiyang He
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Matching the LBO Eigenspace of Non-Rigid Shapes via High Order Statistics
Axioms, 2014 A fundamental tool in shape analysis is the virtual embedding of the Riemannian manifold describing the geometry of a shape into Euclidean space. Several methods have been proposed to embed isometric shapes into flat domains, while preserving the ...
Alon Shtern, Ron Kimmel
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A Hypersurfaces of Revolution Family in the Five-Dimensional Pseudo-Euclidean Space
Mathematics, 2023 We present a family of hypersurfaces of revolution distinguished by four parameters in the five-dimensional pseudo-Euclidean space E25. The matrices corresponding to the fundamental form, Gauss map, and shape operator of this family are computed.
Yanlin Li, Erhan Güler
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Finite Element Approximation of Eigenvalues and Eigenfunctions of the Laplace-Beltrami Operator [PDF]
, 2020 The surface finite element method is an important tool for discretizing and solving elliptic partial differential equations on surfaces. Recently the surface finite element method has been used for computing approximate eigenvalues and eigenfunctions of ...
Owen, Justin Ian
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On the projections of Laplacians under Riemannian submersions
International Journal of Mathematics and Mathematical Sciences, 2001 We give a condition on Riemannian submersions from a Riemannian manifold M to a Riemannian manifold N which will ensure that it induces a differential operator on N from the Laplace-Beltrami operator on M.
Huiling Le
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