Generalizations of Ripley’s K-function with Application to Space Curves
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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.
Original language | English |
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Title of host publication | 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 |
Publisher | Springer |
Publication date | Jun 2019 |
Pages | 731-742 |
ISBN (Print) | 978-3-030-20350-4 |
ISBN (Electronic) | 978-3-030-20351-1 |
DOIs | |
Publication status | Published - Jun 2019 |
Event | 26th International Conference on Information Processing in Medical Imaging (IPMI) - Hong Kong, China Duration: 2 Jun 2019 → 7 Jun 2019 |
Conference
Conference | 26th International Conference on Information Processing in Medical Imaging (IPMI) |
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Land | China |
By | Hong Kong |
Periode | 02/06/2019 → 07/06/2019 |
Series | Lecture Notes in Computer Science |
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Volume | 11492 |
ISSN | 0302-9743 |
ID: 216025498