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Related papers: OptiMic: A tool to generate optimized polycrystall…

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Atomistic simulations have become a powerful tool in materials research due to the extremely fine spatial and temporal resolution provided by such techniques. In order to understand the fundamental principles which govern material behavior…

Materials Science · Physics 2014-08-26 Jason F. Panzarino , Timothy J. Rupert

Given a countable set of points in a continuous space, Voronoi tessellation is an intuitive way of partitioning the space according to the distance to the individual points. As a powerful approach to obtain structural information, it has a…

Soft Condensed Matter · Physics 2020-02-17 Simeon Völkel , Kai Huang

The optimization along the chain processing-structure-properties-performance is one of the core objectives in data-driven materials science. In this sense, processes are supposed to manufacture workpieces with targeted material…

Materials Science · Physics 2022-03-24 Tarek Iraki , Lukas Morand , Johannes Dornheim , Norbert Link , Dirk Helm

We describe the development of a new software tool, called "Pomelo", for the calculation of Set Voronoi diagrams. Voronoi diagrams are a spatial partition of the space around the particles into separate Voronoi cells, e.g. applicable to…

Data Analysis, Statistics and Probability · Physics 2018-02-16 Simon Weis , Philipp W. A. Schönhöfer , Fabian M. Schaller , Matthias Schröter , Gerd E. Schröder-Turk

Combinatorial and guided screening of materials space with density-functional theory and related approaches has provided a wealth of hypothetical inorganic materials, which are increasingly tabulated in open databases. The OPTIMADE API is a…

The three-dimensional (3D) microstructures of polycrystalline materials exert a critical influence on their mechanical and physical properties. Realistic, controllable construction of these microstructures is a key step toward elucidating…

Computer Vision and Pattern Recognition · Computer Science 2026-03-13 Chi Chen , Tianle Jiang , Xiaodong Wei , Yanming Wang

For the analysis of systems consisting of small, regular objects, the methods of mathematical morphology applied to images of these systems are well-suited. One of these methods is the use of Voronoi polygons. It was found that the Voronoi…

Computational Geometry · Computer Science 2011-05-24 M. Montserrat Alonso Ferrero

Material microstructures are traditionally compared using sets of statistical measures that are incomplete, e.g., two visually distinct microstructures can have identical grain size distributions and phase fractions. While this is not a…

Computational Physics · Physics 2025-10-14 Dylan Miley , Ethan Suwandi , Benjamin Schweinhart , Jeremy K Mason

StructOpt, an open-source structure optimization suite, applies genetic algorithm and particle swarm methods to obtain atomic structures that minimize an objective function. The objective function typically consists of the energy and the…

Computational Physics · Physics 2019-01-10 Jason J. Maldonis , Zhongnan Xu , Zhewen Song , Min Yu , Tam Mayeshiba , Dane Morgan , Paul M. Voyles

This work concerns adaptive refinement procedures for meshes of polygonal virtual elements. Specifically, refinement procedures previously proposed by the authors for structured meshes are generalized for the challenging case of arbitrary…

Numerical Analysis · Mathematics 2023-03-31 Daniel van Huyssteen , Felipe Lopez Rivarola , Guillermo Etse , Paul Steinmann

We review the concepts of the Voronoi binning technique (Cappellari & Copin 2003), which optimally solves the problem of preserving the maximum spatial resolution of general two-dimensional data, given a constraint on the minimum…

Instrumentation and Methods for Astrophysics · Physics 2009-12-08 Michele Cappellari

MPC (Magneto-Photonic Crystal) Optimisation is a feature-rich Windows software application designed to enable researchers to analyze the optical and magneto-optical spectral properties of multilayers containing gyrotropic constituents. A…

Applied Physics · Physics 2019-05-03 M. Vasiliev , K. Alameh , M. Nur-E-Alam

This paper introduces a new approach toward characterizing local structural features of two-dimensional particle systems. The approach can accurately identify and characterize defects in high-temperature crystals, distinguish a wide range…

Materials Science · Physics 2024-11-14 Emanuel A. Lazar , Jiayin Lu , Chris H. Rycroft , Deborah Schwarcz

The large-scale matter distribution represents a complex network of structure elements such as voids, clusters, filaments, and sheets. This network is spanned by a point distribution. The global properties of the point process can be…

Astrophysics · Physics 2009-10-28 Andrei G. Doroshkevich , Stefan Gottloeber , Soeren Madsen

We introduce a general, efficient method to completely describe the topology of individual grains, bubbles, and cells in three-dimensional polycrystals, foams, and other multicellular microstructures. This approach is applied to a pair of…

Materials Science · Physics 2017-11-10 Emanuel A. Lazar , Jeremy K. Mason , Robert D. MacPherson , David J. Srolovitz

This paper introduces a new open-source software program called VoroTop, which uses Voronoi topology to analyze local structure in atomic systems. Strengths of this approach include its abilities to analyze high-temperature systems and to…

Materials Science · Physics 2018-04-13 Emanuel A. Lazar

The recent decades have seen various attempts at accelerating the process of developing materials targeted towards specific applications. The performance required for a particular application leads to the choice of a particular material…

The Voronoi tessellation is a natural way of space segmentation, which has many applications in various fields of science and technology, as well as in social sciences and visual art. The varieties of the Voronoi tessellation methods are…

Astrophysics of Galaxies · Physics 2022-08-04 Irina Vavilova , Andrii Elyiv , Daria Dobrycheva , Olga Melnyk

Micro-structured materials consisting of an array of microstructures are engineered to provide the specific material properties. This present work investigates the design of cellular materials under the framework of level set, so as to…

Computational Engineering, Finance, and Science · Computer Science 2018-11-13 Jie Gao , Hao Li , Zhen Luo , Liang Gao , Peigen Li

Synthesis of rationally designed nanostructured materials with optimized mechanical properties, e.g., high strength with considerable ductility, requires rigorous control of diverse microstructural parameters including the mean size, size…

Materials Science · Physics 2017-01-27 Rohit Sarkar , Jagannathan Rajagopalan
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