Results 41 to 50 of about 775 (185)
An Extrinsic Approach Based on Physics-Informed Neural Networks for PDEs on Surfaces
Mathematics, 2022 In this paper, we propose an extrinsic approach based on physics-informed neural networks (PINNs) for solving the partial differential equations (PDEs) on surfaces embedded in high dimensional space.
Zhuochao Tang +2 more
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Functions of the Laplace-Beltrami operator [PDF]
Journées équations aux dérivées partielles, 1996 Let \(M\) be a closed \(n\)-dimensional Riemannian manifold with metric \(g= (g_{ij})\) and let \(\Delta\) be the Laplace-Beltrami operator on \(M\). Consider further some additional symmetric linear differential operator \(\nu\) on \(M\) and let \(A_\nu\) be the square root of \(-\Delta+\nu\), defined in terms of pseudodifferential operators.
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Non‐Rigid 3D Shape Correspondences: From Foundations to Open Challenges and Opportunities
Computer Graphics Forum, EarlyView.Abstract Estimating correspondences between deformed shape instances is a long‐standing problem in computer graphics; numerous applications, from texture transfer to statistical modelling, rely on recovering an accurate correspondence map. Many methods have thus been proposed to tackle this challenging problem from varying perspectives, depending on ...
A. Zhuravlev +14 more
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Approximation of the Spectral Fractional Powers of the Laplace-Beltrami Operator
Numerical Mathematics: Theory, Methods and Applications, 2022 We consider numerical approximations of spectral fractional Laplace-Beltrami problems on closed surfaces. The proposed numerical algorithms rely on their Balakrishnan integral representation and consist of a sinc quadrature coupled with standard finite element methods for parametric surfaces.
Andrea Bonito, Wenyu Lei
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Establishing Shape Correspondences: A Survey
Computer Graphics Forum, EarlyView.Abstract Shape correspondence between surfaces in 3D is a central problem in geometry processing, concerned with establishing meaningful relations between surfaces. While all correspondence problems share this goal, specific formulations can differ significantly: Downstream applications require certain properties that correspondences must satisfy ...
A. Heuschling, H. Meinhold, L. Kobbelt
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Harmonic Analysis on Quantum Complex Hyperbolic Spaces
Symmetry, Integrability and Geometry: Methods and Applications, 2011 In this paper we obtain some results of harmonic analysis on quantum complex hyperbolic spaces. We introduce a quantum analog for the Laplace-Beltrami operator and its radial part.
Olga Bershtein, Yevgen Kolisnyk
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Harnack Estimation for Nonlinear, Weighted, Heat-Type Equation along Geometric Flow and Applications
Mathematics, 2023 The method of gradient estimation for the heat-type equation using the Harnack quantity is a classical approach used for understanding the nature of the solution of these heat-type equations. Most of the studies in this field involve the Laplace–Beltrami
Yanlin Li +4 more
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Laplace-Beltrami Operator for Gaussian Splatting
CoRR10 ...
Hongyu Zhou, Zorah Lähner
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The Journal of Physiology, EarlyView.Abstract figure legend Comparative multimodal calibration of patient‐specific left atrial (LA) models to identify arrhythmogenic substrates in atrial fibrillation (AF). A, LA models shown in posterior and anterior views, calibrated separately using: late gadolinium enhancement magnetic resonance imaging (LGE‐MRI) image intensity ratio (IIR; blue–red ...
Mahmoud Ehnesh +14 more
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Minimizers of the dynamical Boulatov model
European Physical Journal C: Particles and Fields, 2018 We study the Euler–Lagrange equation of the dynamical Boulatov model which is a simplicial model for 3d Euclidean quantum gravity augmented by a Laplace–Beltrami operator.
Joseph Ben Geloun +2 more
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