Part II: Minimal distance mapping of a point close to the clothoid

High-speed-railways / bullet trains / Transrapids /need extreme reliable control systems (extasy) to avoid catastrophic events. Here we conse-quently focus on two sensitive problems related to extasy:(i) a local high resolution representation of the track design (clothoid, circle, straight line) in UTM map matching coordinates is given. (ii) The Mixed Model (universal Kriging) is used to discriminate measurement errors from track displacements. Part II deals with a railway track which has been surveyed from points close to the clothoid, the circle or the straight line. In particular, we aim at a relation of the measurement point to the clothoid, the circle or the straight line given in the expert base.