Provable surface reconstruction from noisy samples

DOI10.1016/j.comgeo.2005.10.006zbMath1112.65014OpenAlexW2199460564WikidataQ60307757 ScholiaQ60307757MaRDI QIDQ2507163

Samrat Goswami, Tamal Krishna Dey

Publication date: 10 October 2006

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

Full work available at URL: https://doi.org/10.1016/j.comgeo.2005.10.006

zbMATH Keywords

numerical examplesDelaunay triangulationDelaunay/Voronoi diagramsSurface Reconstruction

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items

Detection, classification and estimation of individual shapes in 2D and 3D point clouds ⋮ Solution manifold and its statistical applications ⋮ Geometric preprocessing of noisy point sets: an experimental study ⋮ Only distances are required to reconstruct submanifolds ⋮ Witnessed \(k\)-distance ⋮ Parallel and adaptive surface reconstruction based on implicit PHT-splines ⋮ Quasi-interpolation for surface reconstruction from scattered data with radial basis function ⋮ Wavelet frame based surface reconstruction from unorganized points ⋮ Reconstruction using witness complexes ⋮ Curve reconstruction from noisy samples ⋮ Local Delaunay-based high fidelity surface reconstruction from 3D point sets

Uses Software

• Powercrust
• SegMatch
• NormFet

Cites Work

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• Deformable smooth surface design
• Surface reconstruction by Voronoi filtering
• The approximation power of moving least-squares
• A SIMPLE ALGORITHM FOR HOMEOMORPHIC SURFACE RECONSTRUCTION
• ESTIMATING SURFACE NORMALS IN NOISY POINT CLOUD DATA
• Smooth surface reconstruction via natural neighbour interpolation of distance functions
• Detecting undersampling in surface reconstruction
• Complexity of the delaunay triangulation of points on surfaces the smooth case
• Curve reconstruction from noisy samples
• Dynamic skin triangulation
• The power crust, unions of balls, and the medial axis transform