Laplace-Beltrami operator on digital surfaces
From MaRDI portal
Publication:1735948
DOI10.1007/s10851-018-0839-4zbMath1431.65234OpenAlexW2611346451WikidataQ129346233 ScholiaQ129346233MaRDI QIDQ1735948
Tristan Roussillon, David Coeurjolly, Thomas Caissard, Jacques-Olivier Lachaud
Publication date: 29 March 2019
Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10851-018-0839-4
Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Surfaces in Euclidean and related spaces (53A05) Numerical methods for partial differential equations, boundary value problems (65N99)
Related Items
A simple discrete calculus for digital surfaces ⋮ A simple and efficient numerical method for the Allen-Cahn equation on effective symmetric triangular meshes
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Properties of Gauss digitized shapes and digital surface integration
- A Laplace operator on semi-discrete surfaces
- Generalized shape operators on polyhedral surfaces
- Integral invariants for robust geometry processing
- Principal curvatures from the integral invariant viewpoint
- On the convergence of metric and geometric properties of polyhedral surfaces
- Towards a theoretical foundation for Laplacian-based manifold methods
- Heat kernel Laplace-Beltrami operator on digital surfaces
- Convergence of discrete Laplace-Beltrami operators over surfaces
- Discrete Poincaré lemma
- On the Lambert \(w\) function
- Numerical solutions for the surface diffusion flow in three space dimensions
- Convex digital polygons, maximal digital straight segments and convergence of discrete geometric estimators
- Discrete Laplace-Beltrami operators and their convergence
- Mesh parameterization with generalized discrete conformal maps
- Estimating differential quantities using polynomial fitting of osculating jets
- Convergence analysis of a discretization scheme for Gaussian curvature over triangular surfaces
- Voronoi-Based Geometry Estimator for 3D Digital Surfaces
- Parameter-Free and Multigrid Convergent Digital Curvature Estimators
- Curvature Measures
- Discrete Calculus
- Discrete laplace operator on meshed surfaces
- DIFFUSION PROCESSES AND RIEMANNIAN GEOMETRY
- Stokes’ theorem for nonsmooth chains
- Computing Discrete Minimal Surfaces and Their Conjugates
- Multigrid Convergence of Discrete Geometric Estimators
- Eigenvalues of Laplacians on a Closed Riemannian Manifold and Its Nets
- Integral Based Curvature Estimators in Digital Geometry
- Flux across nonsmooth boundaries and fractal Gauss/Green/Stokes' theorems
- Discrete Complex Structure on Surfel Surfaces
- Learning Theory
- Diffusion processes in a small time interval
- Discrete Riemann surfaces and the Ising model.
