![Theoretical computer science / Control theory / Motion planning / Computational physics / Velocity obstacle / Occupancy grid mapping / Kinematics / Collision detection / Probability density function / Robot kinematics / Applied mathematics / Mathematics Theoretical computer science / Control theory / Motion planning / Computational physics / Velocity obstacle / Occupancy grid mapping / Kinematics / Collision detection / Probability density function / Robot kinematics / Applied mathematics / Mathematics](https://www.pdfsearch.io/img/f0d5ae76823a5284f1e9eb53b5cd9f9b.jpg) Date: 2013-10-23 12:10:15Theoretical computer science Control theory Motion planning Computational physics Velocity obstacle Occupancy grid mapping Kinematics Collision detection Probability density function Robot kinematics Applied mathematics Mathematics | | Probabilistic Collision State Checker for Crowded Environments Daniel Althoff, Matthias Althoff, Dirk Wollherr and Martin Buss Abstract— For path planning algorithms of robots it is important that the robot does not re
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