On mathematical approach to circle fitting problem in the analysis of RICHdetector data

The paper describes a couple of methods solving the Cherenkov rings detecti on and fitting problem connected with the analysis of RICH detector data. F irst, a procedure of the global search for the rings and of their fitting i s presented. It is based on the statistical methods and probabilistic model s. Further, a more general problem of detection of point objects in the pla ne is considered and the statistical moving window solution is proposed. Th e paper also describes a procedure for the simulation of RICH detector data .