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Smoothness of boundaries of regular sets

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Publication:2251207
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DOI10.1007/s10851-012-0397-0zbMath1378.94004OpenAlexW1970256378MaRDI QIDQ2251207

Maria Joana Torres, Pedro Duarte

Publication date: 11 July 2014

Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10851-012-0397-0


zbMATH Keywords

Euclidean distance\(C^1\)-boundary\(r\)-regularityLipschitz projection


Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)


Related Items (1)

\(r\)-regularity



Cites Work

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  • A topological sampling theorem for robust boundary reconstruction and image segmentation
  • Provably correct reconstruction of surfaces from sparse noisy samples
  • \(r\)-regular shape reconstruction from unorganized points
  • Preserving topology by a digitization process
  • A course on optimization and best approximation
  • Combinatorial stability of non-deterministic systems
  • Proximité et dualité dans un espace hilbertien
  • Discrete Geometry for Computer Imagery


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