A K-function for inhomogeneous random measures with geometric features
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
Dokumenter
- Fulltext
Indsendt manuskript, 728 KB, PDF-dokument
This paper introduces a K-function for assessing second-order properties of inhomogeneous random measures generated by marked point processes. The marks can be geometric objects like fibers or sets of positive volume, and the presented K-function takes into account geometric features of the marks, such as tangent directions of fibers. The K-function requires an estimate of the inhomogeneous density function of the random measure. We introduce parametric estimates for the density function based on parametric models that represent large scale features of the inhomogeneous random measure. The proposed methodology is applied to simulated fiber patterns as well as a three-dimensional dataset of steel fibers in concrete.
Originalsprog | Engelsk |
---|---|
Artikelnummer | 100656 |
Tidsskrift | Spatial Statistics |
Vol/bind | 51 |
Sider (fra-til) | 1-30 |
ISSN | 2211-6753 |
DOI | |
Status | Udgivet - 2022 |
Bibliografisk note
Funding Information:
Hans J. T. Stephensen was supported by QIM ? Center for Quantification of Imaging Data, Denmark from MAX IV. The concrete fiber data and Fig. 3 were kindly provided by Claudia Redenbach, Technische Universit?t Kaiserslautern. The concrete fiber data is a result of joint work by Kasem Maryamh (sample), Technische Universit?t Kaiserslautern, Franz Schreiber (imaging), Fraunhofer ITWM, and Konstantin Hauch (binarization), Technische Universit?t Kaiserslautern. We are grateful to two anonymous reviewers for helpful and constructive comments.
Publisher Copyright:
© 2022 Elsevier B.V.
ID: 307743477