Results 51 to 60 of about 550,301 (203)
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
doaj +1 more source
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
wiley +1 more source
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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On Bending in the As‐Rigid‐As‐Possible Deformation Energy
Computer Graphics Forum, EarlyView.Abstract The well‐established As‐Rigid‐As‐Possible (ARAP) energy has various forms. For surface deformation, commonly used energies contain an implicit bending penalty. We present a natural, continuous generalization that incorporates multiple ARAP versions with an implicit, user‐controllable bending penalty.
Ugo Finnendahl, Marc Alexa
wiley +1 more source
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
doaj +1 more source
Attention Based Optimization for 3D Shape Registration
Computer Graphics Forum, EarlyView.Abstract Transformers are sequence‐to‐sequence architectures originally designed to handle structurally rigid and order‐sensitive data, such as text and images. At their core, they exploit the attention mechanism, which is permutation‐equivariant and relies on computing token‐to‐token relationships.
A. Riva, L. Olearo, S. Melzi
wiley +1 more source
Laplace-Beltrami Operator for Gaussian Splatting
2026 International Conference on 3D Vision (3DV)10 ...
Hongyu Zhou, Zorah Lähner
openaire +2 more sources
Integral representation for fractional Laplace–Beltrami operators [PDF]
Advances in Mathematics, 2018 In this paper we provide an integral representation of the fractional Laplace-Beltrami operator for general riemannian manifolds which has several interesting applications. We give two different proofs, in two different scenarios, of essentially the same result. One of them deals with compact manifolds with or without boundary, while the other approach
Alonso-Orán, Diego +2 more
openaire +4 more sources
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
doaj +1 more source
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
wiley +1 more source