Characterization of bijective digitized rotations on the hexagonal grid

DOI10.1007/s10851-018-0785-1zbMath1437.94024OpenAlexW2733334860WikidataQ114226043 ScholiaQ114226043MaRDI QIDQ1799504

David Coeurjolly, Tristan Roussillon, Yukiko Kenmochi, Victor Ostromoukhov, Kacper Pluta, Pascal Romon

Publication date: 19 October 2018

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

Full work available at URL: https://doi.org/10.1007/s10851-018-0785-1

zbMATH Keywords

digital topologydigital geometryhexagonal gridgeometric transformationshoneycomb geometrybijective transformationsdigitized rotations

Mathematics Subject Classification ID

Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

Related Items (5)

Conjecture on characterisation of bijective 3D digitized reflections and rotations ⋮ Non-traditional 2D grids in combinatorial imaging -- advances and challenges ⋮ Shear based bijective digital rotation in hexagonal grids ⋮ Visiting bijective digitized reflections and rotations using geometric algebra ⋮ Digital Two-Dimensional Bijective Reflection and Associated Rotation

Cites Work

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• The honeycomb conjecture
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• Rotation and lighting invariant template matching
• Bijective digitized rigid motions on subsets of the plane
• Properties of Eisenstein Triples
• Using Pythagorean Triangles to Approximate Angles
• Integer-sided triangles with an angle of 60°
• Combinatorial Image Analysis
• Discrete Geometry for Computer Imagery

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