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Generalizations of Ripley’s K-function with Application to Space Curves. / Sporring, Jon; Waagepetersen, Rasmus Plenge; Sommer, Stefan Horst.
Information 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. Springer, 2019. s. 731-742 (Lecture Notes in Computer Science, Bind 11492).
Publikation: Bidrag til bog/antologi/rapport › Konferencebidrag i proceedings › Forskning › fagfællebedømt
Harvard
Sporring, J, Waagepetersen, RP
& Sommer, SH 2019,
Generalizations of Ripley’s K-function with Application to Space Curves. i
Information 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. Springer, Lecture Notes in Computer Science, bind 11492, s. 731-742, 26th International Conference on Information Processing in Medical Imaging (IPMI), Hong Kong, Kina,
02/06/2019.
https://doi.org/10.1007/978-3-030-20351-1_57
APA
Sporring, J., Waagepetersen, R. P.
, & Sommer, S. H. (2019).
Generalizations of Ripley’s K-function with Application to Space Curves. I
Information 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 (s. 731-742). Springer. Lecture Notes in Computer Science Bind 11492
https://doi.org/10.1007/978-3-030-20351-1_57
Vancouver
Sporring J, Waagepetersen RP
, Sommer SH.
Generalizations of Ripley’s K-function with Application to Space Curves. I Information 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. Springer. 2019. s. 731-742. (Lecture Notes in Computer Science, Bind 11492).
https://doi.org/10.1007/978-3-030-20351-1_57
Author
Sporring, Jon ; Waagepetersen, Rasmus Plenge ; Sommer, Stefan Horst. / Generalizations of Ripley’s K-function with Application to Space Curves. Information 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. Springer, 2019. s. 731-742 (Lecture Notes in Computer Science, Bind 11492).
Bibtex
@inproceedings{089195c771eb4b45b0eb335bd135775d,
title = "Generalizations of Ripley{\textquoteright}s K-function with Application to Space Curves",
abstract = "The intensity function and Ripley{\textquoteright}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{\textquoteright}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{\textquoteright}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.",
author = "Jon Sporring and Waagepetersen, {Rasmus Plenge} and Sommer, {Stefan Horst}",
year = "2019",
month = jun,
doi = "10.1007/978-3-030-20351-1_57",
language = "English",
isbn = "978-3-030-20350-4",
series = "Lecture Notes in Computer Science",
publisher = "Springer",
pages = "731--742",
booktitle = "Information Processing in Medical Imaging - 26th International Conference, IPMI 2019, Hong Kong, China, 2019, Proceedings",
address = "Switzerland",
note = "26th International Conference on Information Processing in Medical Imaging (IPMI) ; Conference date: 02-06-2019 Through 07-06-2019",
}
RIS
TY - GEN
T1 - Generalizations of Ripley’s K-function with Application to Space Curves
AU - Sporring, Jon
AU - Waagepetersen, Rasmus Plenge
AU - Sommer, Stefan Horst
PY - 2019/6
Y1 - 2019/6
N2 - 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.
AB - 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.
U2 - 10.1007/978-3-030-20351-1_57
DO - 10.1007/978-3-030-20351-1_57
M3 - Article in proceedings
SN - 978-3-030-20350-4
T3 - Lecture Notes in Computer Science
SP - 731
EP - 742
BT - Information Processing in Medical Imaging - 26th International Conference, IPMI 2019, Hong Kong, China, 2019, Proceedings
PB - Springer
T2 - 26th International Conference on Information Processing in Medical Imaging (IPMI)
Y2 - 2 June 2019 through 7 June 2019
ER -
