Currents and K-functions for Fiber Point Processes
Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review
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.
Original language | English |
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Title of host publication | Geometric Science of Information : 5th International Conference, GSI 2021, Paris, France, July 21–23, 2021, Proceedings |
Editors | Frank Nielsen, Frédéric Barbaresco |
Publisher | Springer |
Publication date | 2021 |
Pages | 127-134 |
ISBN (Print) | 978-3-030-80208-0 |
ISBN (Electronic) | 978-3-030-80209-7 |
DOIs | |
Publication status | Published - 2021 |
Event | 5th conference on Geometric Science of Information - GSI2021 - Paris, France Duration: 21 Jul 2021 → 23 Jul 2021 |
Conference
Conference | 5th conference on Geometric Science of Information - GSI2021 |
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Land | France |
By | Paris |
Periode | 21/07/2021 → 23/07/2021 |
Series | Lecture Notes in Computer Science |
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Volume | 12829 |
ISSN | 0302-9743 |
Links
- https://arxiv.org/pdf/2102.05329.pdf
Submitted manuscript
ID: 273012378