Second order analysis of geometric anisotropic point processes revisited
Journal article, 2020

Various methods for directional analysis of spatial point patterns have been introduced in the literature. In this paper, we formulate a unifying framework for methods based on integral transforms of the second order product density. Examples include directional versions of Ripley's K-function, wavelet transforms, and spectral analysis. Furthermore, we propose an additional method based on the projection of the Fry points of the point pattern on the unit sphere. This method solves some of the practical problems appearing in the application of the integral transform. In particular, it can be easily applied in 3D and provides a definition of an isotropy test without the need of replicated data. The method is evaluated in a simulation study.



Anisotropy test

Fry plot

Functional summary statistics

Spectral analysis


M. Sormani

Fraunhofer-Institut fur Techno- und Wirtschaftsmathematk

Technische Universität Kaiserslautern

Claudia Redenbach

Technische Universität Kaiserslautern

Aila Särkkä

Chalmers, Mathematical Sciences, Applied Mathematics and Statistics

Tuomas Rajala

Natural Resources Institute Finland (Luke)

Spatial Statistics

2211-6753 (ISSN)

Vol. 38 100456

Subject Categories

Other Computer and Information Science

Computer Science

Computer Vision and Robotics (Autonomous Systems)



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