Configurations induced by discrete rotations: Periodicity and quasi-periodicity properties

DOI10.1016/j.dam.2004.09.018zbMath1099.68125OpenAlexW1977434146MaRDI QIDQ1775629

Bertrand Nouvel, Eric Rémila

Publication date: 4 May 2005

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

Full work available at URL: https://doi.org/10.1016/j.dam.2004.09.018

zbMATH Keywords

Quasi-periodicityDiscrete rotationsLocal descriptionPythagorean rotations

Mathematics Subject Classification ID

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

Related Items (11)

Discrete rotations and symbolic dynamics ⋮ Bijective digitized rigid motions on subsets of the plane ⋮ Digital continuity of rotations in the 2D regular grids ⋮ Digitized rotations of 12 neighbors on the triangular grid ⋮ Combinatorics of the Gauss digitization under translation in 2D ⋮ On 2D constrained discrete rigid transformations ⋮ Topology-preserving conditions for 2D digital images under rigid transformations ⋮ Characterization of bijective digitized rotations on the hexagonal grid ⋮ Self-similar Discrete Rotation Configurations and Interlaced Sturmian Words ⋮ Bijectivity Certification of 3D Digitized Rotations ⋮ Quadric Arrangement in Classifying Rigid Motions of a 3D Digital Image

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• Good rotations
• Discrete parabolas and circles on 2D cellular automata
• The theory of the Moiré phenomenon
• Three distance theorems and combinatorics on words
• Combinatorial Image Analysis

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