Currents and K-functions for Fiber Point Processes

Publikation: Bidrag til bog/antologi/rapportKonferencebidrag i proceedingsForskningfagfællebedømt

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 fiber-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 we apply the K-function on simulated data and a data set of myelin sheaths. This includes a fiber data set consisting of myelin sheaths configurations at different debts.
TitelGeometric Science of Information : 5th International Conference, GSI 2021, Paris, France, July 21–23, 2021, Proceedings
RedaktørerFrank Nielsen, Frédéric Barbaresco
ISBN (Trykt)978-3-030-80208-0
ISBN (Elektronisk)978-3-030-80209-7
StatusUdgivet - 2021
Begivenhed5th conference on Geometric Science of Information - GSI2021 - Paris, Frankrig
Varighed: 21 jul. 202123 jul. 2021


Konference5th conference on Geometric Science of Information - GSI2021
NavnLecture Notes in Computer Science
Vol/bind 12829

ID: 273012378