Results 21 to 30 of about 550,253 (159)
Topology-controlled Laplace–Beltrami operator on point clouds based on persistent homology
Graphical ModelsComputing 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 +3 more
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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
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Қарағанды университетінің хабаршысы. Математика сериясыThe 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 +2 more
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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
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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
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On the Generalised Transfer Operators of the Farey Map with Complex Temperature
Mathematics, 2022 We consider the problem of showing that 1 is an eigenvalue for a family of generalised transfer operators of the Farey map. This is an important problem in the thermodynamic formalism approach to dynamical systems, which in this particular case is ...
Claudio Bonanno
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A Physics-Informed Neural Network Framework for PDEs on 3D Surfaces: Time Independent Problems
IEEE Access, 2020 Partial differential equations (PDEs) on surfaces are ubiquitous in all the nature science. Many traditional mathematical methods has been developed to solve surfaces PDEs.
Zhiwei Fang, Justin Zhan
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A Physics-Based Estimation of Mean Curvature Normal Vector for Triangulated Surfaces
Pracì Mìžnarodnogo Geometričnogo Centru, 2019 In this note, we derive an approximation for the mean curvature normal vector on vertices of triangulated surface meshes from the Young-Laplace equation and the force balance principle.
Sudip Kumar Das +2 more
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Canonical momenta in digitized Su(2) lattice gauge theory: definition and free theory
European Physical Journal C: Particles and Fields, 2023 Hamiltonian simulations of quantum systems require a finite-dimensional representation of the operators acting on the Hilbert space $$\mathcal {H}$$ H . Here we give a prescription for gauge links and canonical momenta of an SU(2) gauge theory, such that
Timo Jakobs +7 more
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Laplace–Beltrami shape analysis of ocular or wavefront surfaces
Journal of the European Optical Society-Rapid PublicationsShape analysis techniques are widely used across biomedical fields for processing surface shape properties. The Laplace–Beltrami operator, as an extension of the Laplacian to surfaces, reveals geometrical properties related to surface curvature through ...
Barbero Sergio
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