A topological sampling theorem for robust boundary reconstruction and image segmentation

DOI10.1016/j.dam.2008.05.031zbMath1178.68613OpenAlexW2113641570MaRDI QIDQ1003717

Hans Meine, Ullrich Köthe, Peer Stelldinger

Publication date: 4 March 2009

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2008.05.031

zbMATH Keywords

Delaunay triangulationtopology preservationalpha-shapesEdgel linkinggeometric sampling theorem

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Related Items (6)

Properties of Gauss digitized shapes and digital surface integration ⋮ Monotonic sampling of a continuous closed curve with respect to its Gauss digitization: application to length estimation ⋮ Local turn-boundedness: a curvature control for continuous curves with application to digitization ⋮ Smoothness of boundaries of regular sets ⋮ \(r\)-regularity ⋮ Locally turn-bounded curves are quasi-regular

Cites Work

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• Techniques of scientific computing (Part 2)
• Preserving topology by a digitization process
• Discretization in Hausdorff space
• The union of balls and its dual shape
• Localization properties of direct corner detectors
• Theory of Maps on Orientable Surfaces
• Euclidean Paths: A New Representation of Boundary of Discrete Regions
• Three-dimensional alpha shapes
• Graph-Based Representations in Pattern Recognition
• Topology

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