Results 21 to 30 of about 775 (185)

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
doaj   +1 more source

A Hypersurfaces of Revolution Family in the Five-Dimensional Pseudo-Euclidean Space ${\mathbb{E}}_2^5$

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
doaj   +1 more source

Applications of a Laplace–Beltrami operator for Jack polynomials

European Journal of Combinatorics, 2012
We use a new method to study the Laplace-Beltrami type operator on the Fock space of symmetric functions, and as an example of our explicit computation we show that the Jack symmetric functions are the only family of eigenvectors of the differential operator.
Wuxing Cai, Naihuan Jing
openaire   +2 more sources

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
doaj   +1 more source

Topology-controlled Laplace–Beltrami operator on point clouds based on persistent homology

Graphical Models
Computing the Laplace–Beltrami operator on point clouds is essential for tasks such as smoothing and shape analysis. Unlike meshes, determining the Laplace–Beltrami operator on point clouds requires establishing neighbors for each point.
Ao Zhang, Qing Fang, Peng Zhou, Xiao-Ming Fu   +3 more
doaj   +1 more source

Some Remarks on Harmonic Projection Operators on Spheres

Bruno Pini Mathematical Analysis Seminar, 2016
We give a survey of recent works concerning the mapping properties of joint harmonic projection operators, mapping the space of square integrable functions on complex and quaternionic spheres onto the eigenspaces of the Laplace-Beltrami operator and of a
Valentina Casarino
doaj   +1 more source

Well-posed problems for the Laplace-Beltrami operator on a stratified set consisting of punctured circles and segments

Қарағанды университетінің хабаршысы. Математика сериясы
The Laplace-Beltrami operator is studied on a stratified set consisting of two punctured circles and an interval. A complete description of all well-posed boundary value problems for the Laplace-Beltrami operator on such a set is given.
B.E. Kanguzhin, M.O. Mustafina, O.A. Kaiyrbek   +2 more
doaj   +1 more source

One Can Hear the Area of a Torus by Hearing the Eigenvalues of the Polyharmonic Operators

Demonstratio Mathematica, 2014
This paper considers the asymptotic properties for the spectrum of a positive integer power l of the Laplace-Beltrami operator acting on an n-dimensional torus T.
Guo Shunzi, Jin Jinyun
doaj   +1 more source

Bootstrapping closed hyperbolic surfaces

Journal of High Energy Physics, 2022
The eigenvalues of the Laplace-Beltrami operator and the integrals of products of eigenfunctions and holomorphic s-differentials satisfy certain consistency conditions on closed hyperbolic surfaces.
James Bonifacio
doaj   +1 more source

Anisotropic Laplace-Beltrami Operators for Shape Analysis [PDF]

, 2015
This paper introduces an anisotropic Laplace-Beltrami operator for shape analysis. While keeping useful properties of the standard Laplace-Beltrami operator, it introduces variability in the directions of principal curvature, giving rise to a more intuitive and semantically meaningful diffusion process.
Mathieu Andreux, Emanuele Rodolà, Mathieu Aubry, Daniel Cremers   +3 more
openaire   +3 more sources