Results 71 to 80 of about 550,301 (203)

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  

Bone Shape Feature Differences in Single and Recurrent Patellar Dislocations via Statistical Shape Modeling

Journal of Orthopaedic Research, Volume 44, Issue 7, July 2026.
ABSTRACT This study aims to develop MRI‐based 3D statistical shape models for patellar dislocation patients and investigate bone shape features that distinguish between single and recurrent dislocation populations, as well as control and patellar dislocation populations.
Mingrui Yang, John J. Elias, Mei Li, Jin Ma, Ceylan Colak, Carl S. Winalski, Lutul Farrow, Xiaojuan Li   +7 more
wiley   +1 more source

A graph discretization of the Laplace-Beltrami operator [PDF]

, 2013
We show that eigenvalues and eigenfunctions of the Laplace–Beltrami operator on a Riemannian manifold are approximated by eigenvalues and eigenvectors of a (suitably weighted) graph Laplace operator of a proximity graph on an epsilon ...
Sergei Ivanov, Dmitri Burago, Kurylev, Y, Ivanov, S, Yaroslav Kurylev, Burago, D   +5 more
core  

Laplace-Beltrami spectra.

, 2017
Mindboggle computes a Laplace-Beltrami spectrum for each feature (gyrus, sulcus, etc.), which relates to its intrinsic geometry, after Reuter et al.’s “Shape-DNA” method [106–108].
Elias Chaibub Neto (42416), Arno Klein (12404), Forrest S. Bao (3775153), Martin Reuter (361436), Joachim Giard (3775156), Yrjö Häme (3775150), Noah Lee (3775144), Anisha Keshavan (3775138), Satrajit S. Ghosh (314950), Eliezer Stavsky (3775141), Brian Rossa (3775147)   +10 more
core   +1 more source

Investigating Helical Hypersurfaces Within 7-Dimensional Euclidean Space

Journal of Mathematics
Differential 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

A Physics-Informed Graph Neural Network for Computing Laplace–Beltrami Eigenfunctions on Manifolds

IEEE Access
Eigenfunctions and the spectrum of the Laplace-Beltrami operator are fundamental tools in geometry processing, providing a robust framework for analyzing complex geometries.
Damiana Lazzaro, Serena Morigi, Paolo Zuzolo   +2 more
doaj   +1 more source

Surface‐guided analysis of breast shape changes during postoperative radiotherapy by using a functional map framework

Medical Physics, Volume 53, Issue 7, July 2026.
Abstract BackgroundWhile positioning errors during radiotherapy are increasingly well‐characterized and accounted for in the Planning Target Volume (PTV), little is known about the shape and volume changes of the breast in the course of radiotherapy. Yet they represent an unknown factor that may impact treatment effectiveness, highlighting the need to ...
Pierre Galmiche, Hyewon Seo, Yvan Pin, Philippe Meyer, Georges Noël, Michel De Mathelin   +5 more
wiley   +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, Alan Demlow, Ricardo H. Nochetto   +2 more
openaire   +2 more sources

Rotational Surfaces in Terms of Coordinate Finite Chen II-Type

Pan-American Journal of Mathematics
In 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

Structural Eigenmodes of the Brain to Improve the Source Localization of EEG: Application to Epileptiform Activity

Advanced Science, Volume 13, Issue 31, 4 June 2026.
Geometry and connectivity are complementary structures, which have demonstrated their ability to represent the brain's functional activity. This study evaluates geometric and connectome eigenmodes as biologically informed constraints for EEG source localization.
Pok Him Siu, Philippa J. Karoly, Sina Mansour L., Artemio Soto‐Breceda, Levin Kuhlmann, Mark J. Cook, David B. Grayden   +6 more
wiley   +1 more source