Cellular topology and topological coordinate systems on the hexagonal and on the triangular grids
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Publication:499716
DOI10.1007/s10472-014-9404-zzbMath1325.52011OpenAlexW2136758488MaRDI QIDQ499716
Publication date: 6 October 2015
Published in: Annals of Mathematics and Artificial Intelligence (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10472-014-9404-z
Computing methodologies for image processing (68U10) Lattices and convex bodies in (2) dimensions (aspects of discrete geometry) (52C05) Formal neighborhoods in algebraic geometry (14B20)
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Weighted distances and digital disks on the Khalimsky grid. Disks with holes and islands ⋮ A Combinatorial 4-Coordinate System for the Diamond Grid ⋮ Digital continuity of rotations in the 2D regular grids ⋮ Non-traditional 2D grids in combinatorial imaging -- advances and challenges ⋮ Mathematical Morphology on the Triangular Grid: The Strict Approach ⋮ Digital objects in rhombic dodecahedron grid ⋮ Simple picture processing based on finite automata and regular grammars ⋮ Digital geometry on the dual of some semi-regular tessellations ⋮ A continuous coordinate system for the plane by triangular symmetry ⋮ Rhombic Dodecahedron Grid—Coordinate System and 3D Digital Object Definitions ⋮ Convex and Concave Vertices on a Simple Closed Curve in the Triangular Grid
Cites Work
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- Digital distance functions on three-dimensional grids
- Global analysis of SIS epidemic models with variable total population size
- Collapses and Watersheds in Pseudomanifolds
- Distance on a Hexagonal Grid
- Cellular Topology on the Triangular Grid
- “Honeycomb” vs Square and Cubic Models
- NON-TRADITIONAL GRIDS EMBEDDED IN ℤn
- Combinatorial Image Analysis
- Combinatorial Image Analysis
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