Analysis of opaque objects images in optimization problem of automated focusing system

The actual optimization problem of automated optical microscopy is considered. The approach, which analyzes characteristics of brightness of the Gaussian beam in the optical system of the microscope is proposed. Discrete (digital) model, correlating with continuous, is introduced. Analytical approach to finding the maximum of a discrete function representing the measure of the focusing optical system, is proposed. This approach requires a much smaller number of recorded images formed by the optical microscope. This speeds up the process of automatically focusing an optical microscope.