Results 31 to 40 of about 775 (185)
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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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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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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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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3D shape retrieval based on Laplace operator and joint Bayesian model
Visual Informatics, 2020 Feature analysis plays a significant role in computer vision and computer graphics. In the task of shape retrieval, shape descriptor is indispensable.
Zihao Wang, Hongwei Lin
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SDFs from Unoriented Point Clouds using Neural Variational Heat Distances
Computer Graphics Forum, EarlyView.We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from unoriented point clouds. We first compute a small time step of heat flow (middle) and then use its gradient directions to solve for a neural SDF (right). Abstract We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from ...
Samuel Weidemaier +5 more
wiley +1 more source
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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Fast Injective Mesh Parameterization via Beltrami Coefficient Prolongation
Computer Graphics Forum, EarlyView.Abstract We present a highly efficient and robust method for free boundary injective parameterization of disk‐like triangle meshes with low isometric distortion. Harmonic function–based approaches, grounded in a strong mathematical framework, are widely employed.
G. Fargion, O. Weber
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Mesh Processing Non‐Meshes via Neural Displacement Fields
Computer Graphics Forum, EarlyView.Abstract Mesh processing pipelines are mature, but adapting them to newer non‐mesh surface representations—which enable fast rendering with compact file size—requires costly meshing or transmitting bulky meshes, negating their core benefits for streaming applications.
Yuta Noma +4 more
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Non-degeneracy of bubble solutions for higher order prescribed curvature problem
Advanced Nonlinear Studies, 2022 In this article, we are concerned with the following prescribed curvature problem involving polyharmonic operator on SN{{\mathbb{S}}}^{N}: Dmu=K(∣y∣)um∗−1,u>0inSN,u∈Hm(SN),{D}^{m}u=K\left(| y| ){u}^{{m}^{\ast }-1},\hspace{1.0em}u\gt 0\hspace{0.33em ...
Guo Yuxia, Hu Yichen
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