A K-function for inhomogeneous random measures with geometric features
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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.
Original language | English |
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Article number | 100656 |
Journal | Spatial Statistics |
Volume | 51 |
Pages (from-to) | 1-30 |
ISSN | 2211-6753 |
DOIs | |
Publication status | Published - 2022 |
Bibliographical note
Publisher Copyright:
© 2022 Elsevier B.V.
- Fiber process, Inhomogeneous, K-function, Marked point process, Random measure, Tangent directions
Research areas
ID: 307743477