Generalizations of Ripley’s K-function with Application to Space Curves

Publikation: Bidrag til bog/antologi/rapportKonferencebidrag i proceedingsForskningfagfællebedømt

Jon Sporring, Rasmus Plenge Waagepetersen, Stefan Horst Sommer

The intensity function and Ripley’s K-function have been used extensively in the literature to describe the first and second moment structure of spatial point sets. This has many applications including describing the statistical structure of synaptic vesicles. Some attempts have been made to extend Ripley’s K-function to curve pieces. Such an extension can be used to describe the statistical structure of muscle fibers and brain fiber tracks. In this paper, we take a computational perspective and construct new and very general variants of Ripley’s K-function for curves pieces, surface patches etc. We discuss the method from [3] and compare it with our generalizations theoretically, and we give examples demonstrating the difference in their ability to separate sets of curve pieces.
OriginalsprogEngelsk
TitelInformation Processing in Medical Imaging - 26th International Conference, IPMI 2019, Hong Kong, China, 2019, Proceedings : 26th International Conference, IPMI 2019, Hong Kong, China, June 2–7, 2019, Proceedings
ForlagSpringer
Publikationsdatojun. 2019
Sider731-742
ISBN (Trykt)978-3-030-20350-4
ISBN (Elektronisk)978-3-030-20351-1
DOI
StatusUdgivet - jun. 2019
Begivenhed26th International Conference on Information Processing in Medical Imaging (IPMI) - Hong Kong, Kina
Varighed: 2 jun. 20197 jun. 2019

Konference

Konference26th International Conference on Information Processing in Medical Imaging (IPMI)
LandKina
ByHong Kong
Periode02/06/201907/06/2019
NavnLecture Notes in Computer Science
Vol/bind11492
ISSN0302-9743

ID: 216025498