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

Jon Sporring*, Rasmus Waagepetersen, Stefan Sommer

*Kontaktforfatter

Publikation: Bidrag til bog/antologi/rapport/konference proceedingKonferenceartikel i proceedingForskningpeer review

3 Citationer (Scopus)

Abstract

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, June 2–7, 2019, Proceedings
RedaktørerAlbert C.S. Chung, James C. Gee, Paul A. Yushkevich, Siqi Bao
Antal sider12
ForlagSpringer
Publikationsdato1 jan. 2019
Sider731-742
ISBN (Trykt)978-3-030-20350-4
ISBN (Elektronisk)978-3-030-20351-1
DOI
StatusUdgivet - 1 jan. 2019
Begivenhed26th International Conference on Information Processing in Medical Imaging, IPMI 2019 - Hong Kong, Kina
Varighed: 2 jun. 20197 jun. 2019

Konference

Konference26th International Conference on Information Processing in Medical Imaging, IPMI 2019
Land/OmrådeKina
ByHong Kong
Periode02/06/201907/06/2019
NavnLecture Notes in Computer Science
Vol/bind11492 LNCS
ISSN0302-9743

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