ANALYTICAL COMPUTER CALCULATIONS IN IMAGE ANALYSIS: CORRECT READING OF RANDOM DISCRETE-POINT FIELDS

摘要

The present paper is devoted to questions arising during the registration of random two-dimensional discrete -point fields of a various physical nature. For determination of coordinates of point sources forming such image, the sizes of the integrating aperture of the photo-reading device (integrator) are chosen depending on required accuracy of measurement. In order to prevent errors, which can happen if some point objects (2 or greater) get to the driven aperture-"window", the multithreshold integrators are applied. To solve applied tasks, in which the similar schemes of registration are used, engineers and practical researchers need know reliability of the received data. Unfortunately, the exact analytical formulas describing probability of correct reading, are known only for the elementary case, when the integrator has one threshold level. The research of multithreshold reading leads up, as a rule, to difficult probability problems related to random division of an interval (a lot of them are not decided on today). In this paper the original nontraditional algorithms are offered, and its essence is, that the exact formulas for probability of correct multithreshold reading are obtained with the help of analytical computer transformations.