Results 41 to 50 of about 550,301 (203)

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, Marco Garofalo, Tobias Hartung, Karl Jansen, Johann Ostmeyer, Dominik Rolfes, Simone Romiti, Carsten Urbach   +7 more
doaj   +1 more source

Laplace–Beltrami shape analysis of ocular or wavefront surfaces

Journal of the European Optical Society-Rapid Publications
Shape 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
doaj   +1 more source

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, Florine Hartwig, Josua Sassen, Sergio Conti, Mirela Ben‐Chen, Martin Rumpf   +5 more
wiley   +1 more source

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
doaj   +1 more source

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
wiley   +1 more source

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, Zhecheng Wang, Chenxi Liu, Karan Singh, Alec Jacobson   +4 more
wiley   +1 more source

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.
openaire   +2 more sources

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, L. Bastian, D. Cao, N. El Amrani, P. Roetzer, V. Ehm, R. Marin, H. Nishizawa, S. Morishima, C. Theobalt, N. Navab, D. Cremers, F. Bernard, Z. Lähner, V. Golyanik   +14 more
wiley   +1 more source

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
openaire   +4 more sources

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
doaj   +1 more source