Normal cone approximation and offset shape isotopy

DOI10.1016/j.comgeo.2008.12.002zbMath1169.65015OpenAlexW2059992470WikidataQ126209740 ScholiaQ126209740MaRDI QIDQ924071

David Cohen-Steiner, André Lieutier, Fréderic Chazal

Publication date: 27 July 2009

Published in: Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.comgeo.2008.12.002

zbMATH Keywords

approximationreconstructionEuclidean spacesnormalsgradient vector fieldgeneral compact sets

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Related Items

Properties of Gauss digitized shapes and digital surface integration ⋮ Rates of convergence for robust geometric inference ⋮ A weighted \(k\)-nearest neighbor density estimate for geometric inference ⋮ Inference of Curvature Using Tubular Neighborhoods ⋮ Geometric inference for probability measures

Uses Software

• Powercrust

Cites Work

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• Finding the homology of submanifolds with high confidence from random samples
• Curvature Measures
• The “λ-medial axis”
• Optimization and nonsmooth analysis
• Differential Topology
• A SIMPLE ALGORITHM FOR HOMEOMORPHIC SURFACE RECONSTRUCTION
• Critical points of the distance to an epsilon-sampling of a surface and flow-complex-based surface reconstruction
• Weak feature size and persistent homology
• Stability of persistence diagrams
• The power crust, unions of balls, and the medial axis transform