TY - JOUR
AU - Ehlers, Peter
AU - Enns, Ernest
AU - Fung, Tak
PY - 2011/05/03
Y2 - 2023/11/30
TI - RECTILINEAR AND BROWNIAN MOTION FROM A RANDOM POINT IN A CONVEX REGION
JF - Image Analysis and Stereology
JA - Image Anal Stereol
VL - 20
IS - 2
SE - Original Research Paper
DO - 10.5566/ias.v20.p113-117
UR - https://www.ias-iss.org/ojs/IAS/article/view/665
SP - 113-117
AB - A particle is projected from a point P in a subset E of a convex region H to a point Q in a uniformly random direction. The probability that Q lies in the interior of H at time t is obtained for two types of motion of the particle, rectilinear (i.e. straight-line) and Brownian. In the case of rectilinear motion, the first passage time through the boundary of H is considered. Results are obtained in terms of the generalized overlap function for embedded bodies.
ER -