Topological properties of Hausdorff discretization, and comparison to other discretization schemes.

DOI10.1016/S0304-3975(01)00082-2zbMath1052.68134MaRDI QIDQ1603652

Mohamed Tajine, Christian Ronse

Publication date: 15 July 2002

Published in: Theoretical Computer Science (Search for Journal in Brave)

zbMATH Keywords

Hausdorff metric\(n\)-connectedDiscrete spaceConnectedBresenham discretizationCovering discretizationDiscretization of operatorsHausdorff discretizationHomogeneous metric

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Related Items (6)

Properties of Gauss digitized shapes and digital surface integration ⋮ Optimal conditions for connectedness of discretized sets ⋮ On Connectivity of Discretized 2D Explicit Curve ⋮ On properties of analytical approximation for discretizing 2D curves and 3D surfaces ⋮ Correspondence between topological and discrete connectivities in Hausdorff discretization ⋮ Object digitization up to a translation

Cites Work

• Preserving topology by a digitization process
• Discretization in Hausdorff space
• Morphological sampling
• Solvability and Consistency for Linear Equations and Inequalities
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