Mean arc theorem for exploring domains with randomly distributed arbitrary closed trajectories
A remarkable result from integral geometry is Cauchy’s formula, which relates the mean path length of ballistic trajectories randomly crossing a convex 2D domain, to the ratio between the region area and its perimeter. This theorem has been generalized for non-convex domains and extended to the case...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer Science and Business Media Deutschland GmbH
2022
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| Online Access: | View Fulltext in Publisher |