The weighted Gaussian curvature derivative of a space-filling diagram

DOI10.1515/cmb-2020-0101OpenAlexW2967500503MaRDI QIDQ2236701

Arsenyi Akopyan, Herbert Edelsbrunner

Publication date: 26 October 2021

Published in: Computational and Mathematical Biophysics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.06777

zbMATH Keywords

proteinsderivativesmolecular dynamicsintrinsic volumediscontinuitiesalpha shapesinclusion-exclusioncomputer implementationspace-filling diagrams

Mathematics Subject Classification ID

Length, area, volume and convex sets (aspects of convex geometry) (52A38) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Statistical mechanics, structure of matter (82-XX)

Cites Work

• An area derivative of a space-filling diagram
• The weighted mean curvature derivative of a space-filling diagram
• Beweis eines Funktionalsatzes für konvexe Körper
• Geometry and Topology for Mesh Generation
• The Morse theory of Čech and Delaunay complexes
• Three-dimensional alpha shapes
• The weighted-volume derivative of a space-filling diagram

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