Probability of detection of an extraneous mobile object by autonomous unmanned underwater vehicles as a solution of the Buffon problem
This work addresses object detection in underwater robotics, but it appears incremental as it applies a known mathematical framework to a specific domain without claiming major breakthroughs.
The paper tackles the problem of detecting extraneous mobile objects using autonomous unmanned underwater vehicles by formulating it probabilistically as a Buffon problem, showing that analysis is possible with an asymptotic parameter based on the ratio of local scan size to global problem size.
Underwater robotics addresses the problem of object detection apparatus. Offers a probabilistic formulation of the problem, which uses the reduction of the detection task to a classical task of Buffon. This formulation arises naturally in the formulation of the problem in the coordinate system associated with the apparatus. It is shown that the problem allows analysis in the presence of an asymptotic parameter, determined by the ratio of the local scan size of the apparatus to the global size of the problem under consideration.