Abstract
The current legislative decree on Slovak republic is in the line with the applicable European Union standards and is based on the original legislative decrees supplemented and updated to meet the requirements of the European standards. The main European standard for track geometry is EN 13848. This standard specifies the requirements for aligning track geometry parameters that present the quality of track. Quality can be measured by different measuring devices mounted on tracking vehicles. This norm is applied to all track parameters. Each parameter is defined hand in hand with the requirements for its´ measuring, methodology of processing and interpreting of the results. [1] That are the reasons, why there is not only needed to be focus of measurement technology, but on the processing and alignment as well. It is also necessary to focus to an inertial precision of the system. There are few problems, such as impossibility of having the identical detailed survey points on a rail superstructure.
Highlights
The issue of data processing has to be followed and the numerical solutions present as the best one
The area of analytic geometry is the part of math, which is focused on studies of object geometrical shapes
The change brought up new methods of measuring, by using continual measurements
Summary
The issue of data processing has to be followed and the numerical solutions present as the best one. The mathematical solutions can be presented by application of linear and nonlinear regression, deformation analysis and the parameter estimation methods such as the least squares method, robust estimation method, maximum reliability method, collocation method for construction behaviours prediction and so. The result is mathematical definition of direction and altitude differences from the first basic stage or designed state. The necessity of each method application follows from the impossibility of having of identical points and the use of combined discrete and continual measurements. The priority during the processing is to preserve the basic parameters of data quality, precision of the measurement, and the reliability and objectivity of interpreted results
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