Bijective digitized rigid motions on subsets of the plane

DOI10.1007/s10851-017-0706-8zbMath1420.68227OpenAlexW2592537547WikidataQ114226044 ScholiaQ114226044MaRDI QIDQ2403745

Kacper Pluta, Yukiko Kenmochi, Nicolas Passat, Pascal Romon

Publication date: 12 September 2017

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

Full work available at URL: https://doi.org/10.1007/s10851-017-0706-8

zbMATH Keywords

combinatorial analysislocal characterizationdigital geometryrigid motionsbijective transformations

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Related Items (8)

Homotopic affine transformations in the 2D Cartesian grid ⋮ Digital continuity of rotations in the 2D regular grids ⋮ Digitized rotations of 12 neighbors on the triangular grid ⋮ Geometric preservation of 2D digital objects under rigid motions ⋮ Combinatorics of the Gauss digitization under translation in 2D ⋮ Characterization of bijective digitized rotations on the hexagonal grid ⋮ Homotopic digital rigid motion: an optimization approach on cellular complexes ⋮ Digital Two-Dimensional Bijective Reflection and Associated Rotation

Cites Work

• Computing upper and lower bounds of rotation angles from digital images
• Configurations induced by discrete rotations: Periodicity and quasi-periodicity properties
• Quadric Arrangement in Classifying Rigid Motions of a 3D Digital Image
• Using Pythagorean Triangles to Approximate Angles
• Combinatorial Image Analysis
• Bijective Rigid Motions of the 2D Cartesian Grid
• LATIN 2004: Theoretical Informatics
• Discrete Geometry for Computer Imagery
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