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Combinatorial curve reconstruction in Hilbert spaces: A new sampling theory and an old result revisited

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Publication:1862125
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DOI10.1016/S0925-7721(02)00096-2zbMath1014.65016MaRDI QIDQ1862125

Daniel Z. Freedman

Publication date: 10 March 2003

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


zbMATH Keywords

complexityalgorithmsampling theorycombinatorial curve reconstructionlocal feature size


Mathematics Subject Classification ID

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


Related Items (1)

Computational topology for isotopic surface reconstruction



Cites Work

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  • \(r\)-regular shape reconstruction from unorganized points
  • Surface reconstruction by Voronoi filtering
  • Curve reconstruction: Connecting dots with good reason
  • On the shape of a set of points in the plane
  • Connect-the-dots: A new heuristic
  • A simple algorithm for homeomorphic surface reconstruction
  • A one-step crust and skeleton extraction algorithm
  • Reconstructing curves with sharp corners
  • Regular and non-regular point sets: Properties and reconstruction




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