تقرير
Currents and K-functions for Fiber Point Processes
| العنوان: | Currents and K-functions for Fiber Point Processes |
|---|---|
| المؤلفون: | Hansen, Pernille EH., Waagepetersen, Rasmus, Svane, Anne Marie, Sporring, Jon, Stephensen, Hans JT., Hasselholt, Stine, Sommer, Stefan |
| سنة النشر: | 2021 |
| المجموعة: | Statistics |
| مصطلحات موضوعية: | Statistics - Methodology, 60G55 |
| الوصف: | Analysis of images of sets of fibers such as myelin sheaths or skeletal muscles must account for both the spatial distribution of fibers and differences in fiber shape. This necessitates a combination of point process and shape analysis methodology. In this paper, we develop a K-function for shape-valued point processes by embedding shapes as currents, thus equipping the point process domain with metric structure inherited from a reproducing kernel Hilbert space. We extend Ripley's K-function which measures deviations from spatial homogeneity of point processes to fiber data. The paper provides a theoretical account of the statistical foundation of the K-function and its extension to fiber data, and we test the developed K-function on simulated as well as real data sets. This includes a fiber data set consisting of myelin sheaths, visualizing the spatial and fiber shape behavior of myelin configurations at different debts. Comment: 12 pages, 2 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2102.05329 |
| رقم الأكسشن: | edsarx.2102.05329 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |