Non-manifold surface reconstruction from high-dimensional point cloud data

DOI10.1016/j.comgeo.2011.05.002zbMath1221.65068OpenAlexW2005616043MaRDI QIDQ634252

Shawn Martin, Jean-Paul Watson

Publication date: 2 August 2011

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

Full work available at URL: https://doi.org/10.1016/j.comgeo.2011.05.002

zbMATH Keywords

algorithmsurface reconstructiongraphical examplesdegenerate quadratic surfacesfitting intersecting planeshigh-dimensional point cloud dataincremental triangulationnon-manifold surface

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Related Items (1)

Geometric anomaly detection in data

Uses Software

• Powercrust
• SegMatch

Cites Work

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• An incremental algorithm for reconstruction of surfaces of arbitrary codimension
• Surface reconstruction by Voronoi filtering
• Resultants and loop closure
• A SIMPLE ALGORITHM FOR HOMEOMORPHIC SURFACE RECONSTRUCTION
• Computational Topology
• Geodesic Entropic Graphs for Dimension and Entropy Estimation in Manifold Learning
• Detecting undersampling in surface reconstruction
• An Algorithm for Finding Intrinsic Dimensionality of Data
• The maximum numbers of faces of a convex polytope
• The power crust, unions of balls, and the medial axis transform

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