Mathematical problems of the calibration of automated measuring systems for optical track detectors in high-energy physics

Mathematical problems that arise in the calibration of automated systems for measuring data of optical track detectors in high-energy physics are reviewed. The calibration problem is formulated and the mathematical models generated by it are discussed. The stages of calibration and application of their results to the determination of the accuracy and stability of systems are described. Brief details are given of the algorithms and calibration programs developed at the Joint Institute for Nuclear Research.