Research outputs

Dr Matthew Bright

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2024

Continuous Spaces of Low Dimensional Lattices

Bright, M. (2024, February 28). Continuous Spaces of Low Dimensional Lattices.

: Thesis / Dissertation

2023

The crystal isometry principle justifies a new data standard for all periodic crystals

Cooper, A. I., Widdowson, D. E., Bright, M. J., & Kurlin, V. A. (2023). The crystal isometry principle justifies a new data standard for all periodic crystals. Acta Crystallographica Section A Foundations and Advances, 79(a2), C76. doi:10.1107/s2053273323095335

DOI: 10.1107/s2053273323095335
: Journal article

Geographic style maps for two-dimensional lattices

Bright, M., Cooper, A. I., & Kurlin, V. (2023). Geographic style maps for two-dimensional lattices. ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES, 79, 1-13. doi:10.1107/S2053273322010075

DOI: 10.1107/S2053273322010075
: Journal article

2022

The Crystal Isometry Principle

Kurlin, V., Widdowson, D., Cooper, A., & Bright, M. (2022). The Crystal Isometry Principle. In ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES Vol. 78 (pp. E293-E294). Retrieved from https://www.webofscience.com/

: Conference Paper

A Formula for the Linking Number in Terms of Isometry Invariants of Straight Line Segments

Bright, M., Anosova, O., & Kurlin, V. (2022). A Formula for the Linking Number in Terms of Isometry Invariants of Straight Line Segments. COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 62(8), 1217-1233. doi:10.1134/S0965542522080024

DOI: 10.1134/S0965542522080024
: Journal article

2021

A complete and continuous map of the Lattice Isometry Space for all 3-dimensional lattices

: Preprint

Geographic-style maps for 2-dimensional lattices

: Preprint

A Proof of the Invariant-Based Formula for the Linking Number and Its Asymptotic Behaviour

Bright, M., Anosova, O., & Kurlin, V. (2021). A Proof of the Invariant-Based Formula for the Linking Number and Its Asymptotic Behaviour. In Numerical Geometry, Grid Generation and Scientific Computing (Vol. 143, pp. 37-60). Springer Nature. doi:10.1007/978-3-030-76798-3_3

DOI: 10.1007/978-3-030-76798-3_3
: Chapter

A complete and continuous map of the Lattice Isometry Space for all 3-dimensional lattices.

: Preprint

Easily computable continuous metrics on the space of isometry classes of all 2-dimensional lattices.

: Preprint

2020

A Proof of the Invariant Based Formula for the Linking Number and its Asymptotic Behaviour

Bright, M., Anosova, O., & Kurlin, V. (2020). A Proof of the Invariant Based Formula for the Linking Number and its Asymptotic Behaviour. Retrieved from http://arxiv.org/abs/2011.04631v3

: Conference Paper

A Proof of the Invariant Based Formula for the Linking Number and its Asymptotic Behaviour

DOI: 10.48550/arxiv.2011.04631
: Preprint

Encoding and Topological Computation on Textiles

DOI: 10.48550/arxiv.2007.14871
: Preprint

Encoding and topological computation on textile structures

Bright, M., & Kurlin, V. (2020). Encoding and topological computation on textile structures. Computers & Graphics, 90, 51-61. doi:10.1016/j.cag.2020.05.014

DOI: 10.1016/j.cag.2020.05.014
: Journal article