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Currents and K-functions for Fiber Point Processes. / Hansen, Pernille Emma Hartung; Waagepetersen, Rasmus Plenge; Svane, Anne Marie; Sporring, Jon; Stephensen, Hans Jacob Teglbjærg; Hasselholt, Stine; Sommer, Stefan Horst.
Geometric Science of Information: 5th International Conference, GSI 2021, Paris, France, July 21–23, 2021, Proceedings. ed. / Frank Nielsen; Frédéric Barbaresco. Springer, 2021. p. 127-134 (Lecture Notes in Computer Science, Vol. 12829).
Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review
Harvard
Hansen, PEH, Waagepetersen, RP, Svane, AM
, Sporring, J, Stephensen, HJT, Hasselholt, S
& Sommer, SH 2021,
Currents and K-functions for Fiber Point Processes. in F Nielsen & F Barbaresco (eds),
Geometric Science of Information: 5th International Conference, GSI 2021, Paris, France, July 21–23, 2021, Proceedings. Springer, Lecture Notes in Computer Science, vol. 12829, pp. 127-134, 5th conference on Geometric Science of Information - GSI2021, Paris, France,
21/07/2021.
https://doi.org/10.1007/978-3-030-80209-7_15APA
Hansen, P. E. H., Waagepetersen, R. P., Svane, A. M.
, Sporring, J., Stephensen, H. J. T., Hasselholt, S.
, & Sommer, S. H. (2021).
Currents and K-functions for Fiber Point Processes. In F. Nielsen, & F. Barbaresco (Eds.),
Geometric Science of Information: 5th International Conference, GSI 2021, Paris, France, July 21–23, 2021, Proceedings (pp. 127-134). Springer. Lecture Notes in Computer Science Vol. 12829
https://doi.org/10.1007/978-3-030-80209-7_15Vancouver
Hansen PEH, Waagepetersen RP, Svane AM
, Sporring J, Stephensen HJT, Hasselholt S et al.
Currents and K-functions for Fiber Point Processes. In Nielsen F, Barbaresco F, editors, Geometric Science of Information: 5th International Conference, GSI 2021, Paris, France, July 21–23, 2021, Proceedings. Springer. 2021. p. 127-134. (Lecture Notes in Computer Science, Vol. 12829).
https://doi.org/10.1007/978-3-030-80209-7_15Author
Hansen, Pernille Emma Hartung ; Waagepetersen, Rasmus Plenge ; Svane, Anne Marie ; Sporring, Jon ; Stephensen, Hans Jacob Teglbjærg ; Hasselholt, Stine ; Sommer, Stefan Horst. / Currents and K-functions for Fiber Point Processes. Geometric Science of Information: 5th International Conference, GSI 2021, Paris, France, July 21–23, 2021, Proceedings. editor / Frank Nielsen ; Frédéric Barbaresco. Springer, 2021. pp. 127-134 (Lecture Notes in Computer Science, Vol. 12829).
Bibtex
@inproceedings{4e429c41b7c1400a8a86b9ba971d9b77,
title = "Currents and K-functions for Fiber Point Processes",
abstract = "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{\textquoteright}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.",
author = "Hansen, {Pernille Emma Hartung} and Waagepetersen, {Rasmus Plenge} and Svane, {Anne Marie} and Jon Sporring and Stephensen, {Hans Jacob Teglbj{\ae}rg} and Stine Hasselholt and Sommer, {Stefan Horst}",
year = "2021",
doi = "10.1007/978-3-030-80209-7_15",
language = "English",
isbn = "978-3-030-80208-0",
series = "Lecture Notes in Computer Science",
publisher = "Springer",
pages = "127--134",
editor = "Frank Nielsen and Barbaresco, {Fr{\'e}d{\'e}ric }",
booktitle = "Geometric Science of Information",
address = "Switzerland",
note = "5th conference on Geometric Science of Information - GSI2021 ; Conference date: 21-07-2021 Through 23-07-2021",
}
RIS
TY - GEN
T1 - Currents and K-functions for Fiber Point Processes
AU - Hansen, Pernille Emma Hartung
AU - Waagepetersen, Rasmus Plenge
AU - Svane, Anne Marie
AU - Sporring, Jon
AU - Stephensen, Hans Jacob Teglbjærg
AU - Hasselholt, Stine
AU - Sommer, Stefan Horst
PY - 2021
Y1 - 2021
N2 - 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.
AB - 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.
U2 - 10.1007/978-3-030-80209-7_15
DO - 10.1007/978-3-030-80209-7_15
M3 - Article in proceedings
SN - 978-3-030-80208-0
T3 - Lecture Notes in Computer Science
SP - 127
EP - 134
BT - Geometric Science of Information
A2 - Nielsen, Frank
A2 - Barbaresco, Frédéric
PB - Springer
T2 - 5th conference on Geometric Science of Information - GSI2021
Y2 - 21 July 2021 through 23 July 2021
ER -
