\(r\)-regularity

DOI10.1007/s10851-014-0535-yzbMath1331.53028arXiv1402.4336OpenAlexW2911738304MaRDI QIDQ2515369

Pedro Duarte, Maria Joana Torres

Publication date: 31 July 2015

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

Full work available at URL: https://arxiv.org/abs/1402.4336

zbMATH Keywords

Euclidean distancenormal vector field\(C^1\)-boundary\(r\)-regularityLipschitz projection

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Methods of local Riemannian geometry (53B21)

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
• Smoothness of boundaries of regular sets
• Combinatorial stability of non-deterministic systems
• Discrete Geometry for Computer Imagery
• Set-valued analysis

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