Extremum problems for eigenvalues of discrete Laplace operators

DOI10.1016/j.cagd.2013.02.005zbMath1281.35062arXiv1106.5844OpenAlexW2069959569MaRDI QIDQ2637076

Ren Guo

Publication date: 19 February 2014

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.5844

zbMATH Keywords

spectraextremumdiscrete Laplace operatorcyclic polygon

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Schrödinger operator, Schrödinger equation (35J10) Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

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• A spectral characterization of the Delaunay triangulation
• Minimal roughness property of the Delaunay triangulation
• A discrete Laplace-Beltrami operator for simplicial surfaces
• A monotonicity property for weighted Delaunay triangulations
• Discrete laplace operator on meshed surfaces
• Simplicial matrix-tree theorems
• Computing Discrete Minimal Surfaces and Their Conjugates
• Shape-Based Retrieval of Articulated 3D Models Using Spectral Embedding

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