Results 61 to 70 of about 775 (185)
Corrected Laplace–Beltrami Operators for Digital Surfaces
Journal of Mathematical Imaging and VisionzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Weill-Duflos, Colin +2 more
openaire +3 more sources
Data driven estimation of Laplace-Beltrami operator
CoRR, 2016 Approximations of Laplace-Beltrami operators on manifolds through graph Lapla-cians have become popular tools in data analysis and machine learning. These discretized operators usually depend on bandwidth parameters whose tuning remains a theoretical and practical problem.
Chazal, Frédéric +2 more
openaire +4 more sources
On Gauge‐Invariant Entire Function Regulators and UV Finiteness in Non Local Quantum Field Theory
Annalen der Physik, Volume 538, Issue 4, April 2026.We regulate the theory with an entire function of the covariant operator F(□/M∗2)$F(\square /M^{2}_{*})$. In the perturbative vacuum this becomes a momentum‐space factor F(−p2/M∗2)$F(-p^{2}/M^{2}_{*})$ that exponentially damps high momenta, most transparent after Wick rotation, rendering loop integrals UV finite.
J. W. Moffat, E. J. Thompson
wiley +1 more source
Singular integrals of the compositions of Laplace-Beltrami and Green's operators
Journal of Inequalities and Applications, 2011 We establish the Poincaré-type inequalities for the composition of the Laplace-Beltrami operator and the Green's operator applied to the solutions of the non-homogeneous A-harmonic equation in the John domain.
Ding Shusen, Fang Ru
doaj
Investigating Helical Hypersurfaces Within 7-Dimensional Euclidean Space
Journal of MathematicsDifferential geometry of a kind of helical hypersurface family that depends on six parameters within the seven-dimensional Euclidean space is explored.
Erhan Güler
doaj +1 more source
Estimating the Laplace‐Beltrami Operator by Restricting 3D Functions [PDF]
Computer Graphics Forum, 2009 AbstractWe present a novel approach for computing and solving the Poisson equation over the surface of a mesh. As in previous approaches, we define the Laplace‐Beltrami operator by considering the derivatives of functions defined on the mesh. However, in this work, we explore a choice of functions that is decoupled from the tessellation.
Ming Chuang +4 more
openaire +2 more sources
A Physics-Informed Graph Neural Network for Computing Laplace–Beltrami Eigenfunctions on Manifolds
IEEE AccessEigenfunctions and the spectrum of the Laplace-Beltrami operator are fundamental tools in geometry processing, providing a robust framework for analyzing complex geometries.
Damiana Lazzaro +2 more
doaj +1 more source
Finite Element Methods for the Laplace-Beltrami Operator
CoRR, 2019 Partial differential equations posed on surfaces arise in a number of applications. In this survey we describe three popular finite element methods for approximating solutions to the Laplace-Beltrami problem posed on an $n$-dimensional surface $γ$ embedded in $\mathbb{R}^{n+1}$: the parametric, trace, and narrow band methods.
Andrea Bonito +2 more
openaire +2 more sources
Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs
Communications on Pure and Applied Mathematics, Volume 79, Issue 4, Page 1012-1072, April 2026.Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley +1 more source
Rotational Surfaces in Terms of Coordinate Finite Chen II-Type
Pan-American Journal of MathematicsIn this study, we first establish several formulae according to the first and second Beltrami operators. We discuss the class of surfaces of revolution in the 3-dimensional Euclidean space E3 without parabolic points, in which the position vector X ...
Hamza Alzaareer, Hassan Al-Zoubi
doaj +1 more source