On the topology of an arithmetic plane

DOI10.1016/0304-3975(95)00059-3zbMath0871.68165OpenAlexW2051477448MaRDI QIDQ1351790

Jean Francon

Publication date: 27 February 1997

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-3975(95)00059-3

zbMATH Keywords

arithmetic planecombinatoric manifolds without boundarycomputer imaging

Mathematics Subject Classification ID

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

Related Items (7)

Discrete planes, \({\mathbb Z}^2\)-actions, Jacobi-Perron algorithm and substitutions ⋮ Generation and recognition of digital planes using multi-dimensional continued fractions ⋮ Functional stepped surfaces, flips, and generalized substitutions ⋮ The supercover of an \(m\)-flat is a discrete analytical object ⋮ Thin discrete triangular meshes ⋮ Periodic graphs and connectivity of the rational digital hyperplanes ⋮ A \(d\)-dimensional extension of Christoffel words

Cites Work

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• A Jordan surface theorem for three-dimensional digital spaces
• Applications of algebraic topology. Graphs and networks. The Picard- Lefschetz theory and Feynman integrals
• Subdivisions de surfaces et cartes généralisées de dimension 2
• Surfaces in three-dimensional digital images
• Digital surfaces
• Algebraic specification and development in geometric modeling

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