Discrete Poincaré Duality Angles as Shape Signatures on Simplicial Surfaces with Boundary

DOI10.1007/978-3-030-43036-8_16zbMath1465.68262OpenAlexW3112168296MaRDI QIDQ5147747

Konstantin Poelke, Konrad Polthier

Publication date: 28 January 2021

Published in: Mathematics and Visualization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-43036-8_16

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Computational aspects of digital topology (68U03)

Uses Software

• QuadCover

Cites Work

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• Hodge decomposition. A method for solving boundary value problems
• Harmonic functions for quadrilateral remeshing of arbitrary manifolds
• Poincaré duality angles and the Dirichlet-to-Neumann operator
• Finite element exterior calculus, homological techniques, and applications
• A Uniformly Accurate Finite Element Method for the Reissner–Mindlin Plate
• QuadCover ‐ Surface Parameterization using Branched Coverings
• Numerical Methods for Computing Angles Between Linear Subspaces