A continuous coordinate system for the plane by triangular symmetry

DOI10.3390/sym11020191zbMath1415.68257OpenAlexW2911582510WikidataQ128417215 ScholiaQ128417215MaRDI QIDQ2310998

Khaled Abuhmaidan, Benedek Nagy

Publication date: 10 July 2019

Published in: Symmetry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/sym11020191

zbMATH Keywords

transformationstriangular gridcoordinate systemhexagonal gridbarycentric coordinate systemtri-hexagonal grid

Mathematics Subject Classification ID

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

Related Items (4)

Digital continuity of rotations in the 2D regular grids ⋮ Non-traditional 2D grids in combinatorial imaging -- advances and challenges ⋮ Largest area parallelogram inside a digital object in a triangular grid ⋮ Digital geometry on the dual of some semi-regular tessellations

Cites Work

• Topology preservation on the triangular grid
• Cellular topology and topological coordinate systems on the hexagonal and on the triangular grids
• Honeycomb geometry: rigid motions on the hexagonal grid
• Weighted distances on the trihexagonal grid
• Distance on a Hexagonal Grid
• Dense Projection Tomography on the Triangular Tiling
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