ALGORITHM OF CALCULATION OF PARAMETRES OF AN INACCESSIBLE POINT OF OBJECT

Abstract

In the present work analyses, the obtained analytical basis of the geometrical model of measurements for the determination of parameters of an inaccessible point of object. The common issues and essential steps of their resolution are identified. Definition of the geometrical model of measurements is corrected. In the correct consideration, it is defined as a model connecting measuring devices and object of research by collimating rays and their projections in a certain way, in a certain system of coordinates with the planes of projections.

The problem essence is identified as follows: a variety of the existing ways of processing measured results contradicts with a necessity of obtaining unequivocal adequate result, reduction quantity of operations of processing of the obtained experimental data, and decreasing the cost of calculations.

The purpose of the present research is to develop an algorithm of calculation of the parameters of an inaccessible point of an object. To do that, the following tasks are identified: 1. Analyze the obtained analytical basis of the geometrical model of measurements and to develop an algorithm of calculation of the parameters of an inaccessible point of an object. 2. To assess the working capacity of the developed algorithm using real measurements. The underlying hypothesis is formulated as follows, the obtained analytical basis of the geometrical model of measurements contains necessary and sufficient conditions for the development of an algorithm of calculation of the parameters of an inaccessible point of an object. The verification of this hypothesis and use of the theory of algorithmic procedures have allowed developing an algorithm of calculation of the parameters of an inaccessible point of an object. The algorithm of calculation of the parameters of an inaccessible point of an object consists of two blocks. The first block of processing of real results of measurements and preparation of the data for calculation of parameters of an inaccessible point includes five stages. The second block of direct calculation of the coordinates of an inaccessible point includes seven stages. Working capacity of the developed algorithm is assessed using real experimental measurements. The basic advantage of the developed algorithm is discussed.

Keywords: a building, directional ray, collimating ray, measurement, point coordinates analytical foundation, geometrical model, analysis, and algorithm.