Region-based approximation of probability distributions (for visibility   between imprecise points among obstacles)
  Let $p$ and $q$ be two imprecise points, given as probability density functions on $\mathbb R^2$, and let $\cal R$ be a set of $n$ line segments (obstacles) in $\mathbb R^2$. We study the problem of approximating the probability that $p$ and $q$ can see each other; that is, that the segment connecting $p$ and $q$ does not cross any segment of $\cal R$. To solve this problem, we approximate each density function by a weighted set of polygons; a novel approach to dealing with probability density functions in computational geometry. 
Kevin Buchin and Irina Kostitsyna and Maarten L\"offler and Rodrigo I.   Silveira
cs.CG