Formulas for the number of \((n-2)\)-gaps of binary objects in arbitrary dimension
From MaRDI portal
Publication:1003705
DOI10.1016/j.dam.2008.05.025zbMath1168.68048OpenAlexW1986569899MaRDI QIDQ1003705
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.2008.05.025
Computational aspects related to convexity (52B55) Computing methodologies for image processing (68U10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)
Related Items (9)
GENUS AND DIMENSION OF DIGITAL IMAGES AND THEIR TIME- AND SPACE-EFFICIENT COMPUTATION ⋮ On different topological classes of spherical geodesic paths and circles in \(\mathbb{Z}^3\) ⋮ On the number of 0-tandems in simple \(n\)D digital 0-connected curves ⋮ Repairing 3D binary images using the BCC grid with a 4-valued combinatorial coordinate system ⋮ Topological analysis of voxelized objects by discrete geodesic Reeb graph ⋮ On Some Local Topological Properties of Naive Discrete Sphere ⋮ DIG: Discrete Iso-contour Geodesics for Topological Analysis of Voxelized Objects ⋮ Repairing 3D binary images using the FCC grid ⋮ A note on dimension and gaps in digital geometry
Cites Work
- Unnamed Item
- Unnamed Item
- Connectivity of discrete planes
- Rectangular partition is polynomial in two dimensions but NP-complete in three
- Digital planarity -- a review
- Erased arrangements of linear and convex decompositions of polyhedra
- Thin discrete triangular meshes
- Graceful planes and lines.
- Plane digitization and related combinatorial problems
- Object discretizations in higher dimensions
- Combinatorial Relations for Digital Pictures
- Combinatorial Image Analysis
- On the Topological Properties of Quantized Spaces, I. The Notion of Dimension
This page was built for publication: Formulas for the number of \((n-2)\)-gaps of binary objects in arbitrary dimension