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General framework for testing Poisson-Voronoi assumption for real microstructures. / Vittorietti, Martina; Kok, Piet J.J.; Sietsma, Jilt; Li, Wei; Jongbloed, Geurt.

In: Applied Stochastic Models in Business and Industry, 11.02.2020.

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@article{397d7b83633b4da69605088fe3fefc95,
title = "General framework for testing Poisson-Voronoi assumption for real microstructures",
abstract = "Modeling microstructures is an interesting problem not just in materials science, but also in mathematics and statistics. The most basic model for steel microstructure is the Poisson-Voronoi diagram. It has mathematically attractive properties and it has been used in the approximation of single-phase steel microstructures. The aim of this article is to develop methods that can be used to test whether a real steel microstructure can be approximated by such a model. Therefore, a general framework for testing the Poisson-Voronoi assumption based on images of two-dimension sections of real metals is set out. Following two different approaches, according to the use or not of periodic boundary conditions, three different model tests are proposed. The first two are based on the coefficient of variation and the cumulative distribution function of the cells area. The third exploits tools from to topological data analysis, such as persistence landscapes.",
keywords = "cumulative distribution function, hypothesis testing, persistence landscape, Poisson-Voronoi diagrams, real microstructures, scaling",
author = "Martina Vittorietti and Kok, {Piet J.J.} and Jilt Sietsma and Wei Li and Geurt Jongbloed",
year = "2020",
month = feb,
day = "11",
doi = "10.1002/asmb.2517",
language = "English",
journal = "Applied Stochastic Models in Business and Industry",
issn = "1524-1904",
publisher = "John Wiley & Sons",

}

RIS

TY - JOUR

T1 - General framework for testing Poisson-Voronoi assumption for real microstructures

AU - Vittorietti, Martina

AU - Kok, Piet J.J.

AU - Sietsma, Jilt

AU - Li, Wei

AU - Jongbloed, Geurt

PY - 2020/2/11

Y1 - 2020/2/11

N2 - Modeling microstructures is an interesting problem not just in materials science, but also in mathematics and statistics. The most basic model for steel microstructure is the Poisson-Voronoi diagram. It has mathematically attractive properties and it has been used in the approximation of single-phase steel microstructures. The aim of this article is to develop methods that can be used to test whether a real steel microstructure can be approximated by such a model. Therefore, a general framework for testing the Poisson-Voronoi assumption based on images of two-dimension sections of real metals is set out. Following two different approaches, according to the use or not of periodic boundary conditions, three different model tests are proposed. The first two are based on the coefficient of variation and the cumulative distribution function of the cells area. The third exploits tools from to topological data analysis, such as persistence landscapes.

AB - Modeling microstructures is an interesting problem not just in materials science, but also in mathematics and statistics. The most basic model for steel microstructure is the Poisson-Voronoi diagram. It has mathematically attractive properties and it has been used in the approximation of single-phase steel microstructures. The aim of this article is to develop methods that can be used to test whether a real steel microstructure can be approximated by such a model. Therefore, a general framework for testing the Poisson-Voronoi assumption based on images of two-dimension sections of real metals is set out. Following two different approaches, according to the use or not of periodic boundary conditions, three different model tests are proposed. The first two are based on the coefficient of variation and the cumulative distribution function of the cells area. The third exploits tools from to topological data analysis, such as persistence landscapes.

KW - cumulative distribution function

KW - hypothesis testing

KW - persistence landscape

KW - Poisson-Voronoi diagrams

KW - real microstructures

KW - scaling

UR - http://www.scopus.com/inward/record.url?scp=85079422987&partnerID=8YFLogxK

U2 - 10.1002/asmb.2517

DO - 10.1002/asmb.2517

M3 - Article

AN - SCOPUS:85079422987

JO - Applied Stochastic Models in Business and Industry

JF - Applied Stochastic Models in Business and Industry

SN - 1524-1904

ER -

ID: 70168387