A new approach to estimate the collision probability for automotive applications

We revisit the computation of probability collision in context automotive avoidance (the estimation a potential is also referred to as conflict detection other contexts). After reviewing existing approaches definition and we argue that question “What within next three seconds¿‘ can be answered on basis rate. Using results level crossings for vector stochastic processes derive general expression upper bound distribution This valid arbitrary prediction models including process noise. demonstrate several examples distributions obtained by large-scale Monte-Carlo simulations obey this many cases approximately saturate bound. an approximation rate computed embedded platform. An then one-dimensional numerical integration over time period interest. A straightforward application method applies extended object with second point-like object. abstraction salient points its boundary propose two objects orientation. Finally, identified time-to-collision.