An isometry classification of periodic point sets

DOI10.1007/978-3-030-76657-3_16zbMath1484.68268OpenAlexW3162861102WikidataQ127271758 ScholiaQ127271758MaRDI QIDQ2061802

Olga Anosova, Vitaliy Kurlin

Publication date: 21 December 2021

Full work available at URL: https://doi.org/10.1007/978-3-030-76657-3_16

zbMATH Keywords

latticeclassificationperiodic setisometry invariance

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Computational aspects of data analysis and big data (68T09)

Related Items (5)

A formula for the linking number in terms of isometry invariants of straight line segments ⋮ Density functions of periodic sequences of continuous events ⋮ Density functions of periodic sequences ⋮ Entropic Trust Region for Densest Crystallographic Symmetry Group Packings ⋮ Polynomial-Time Algorithms for Continuous Metrics on Atomic Clouds of Unordered Points

Cites Work

• Multiregular point systems
• Congruence, similarity, and symmetries of geometric objects
• Regular \(t\)-bonded systems in \(\mathbb{R}^3\)
• The use of higher-order invariants in the determination of generalized Patterson cyclotomic sets

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