Removal of the false targets in the issues of spatial triangulation by projective geometry methods

Abstract

This paper deals with an issue of determination of the spatial coordinates within confined area in general terms. Mobile air space control stations were set and related to the system of spatial triangulation. As a result of the air space "scanning", targets appear in adequate representation, representing identified aircrafts and other flying objects (FOs). The main objective is interpretation of collected data processing, in order to determine the reliable coordinates of an aircraft. The problem of false target identification occurs when data are analyzed from only two stations. Descriptive Geometry method, for the construction of the planes containing rays targeted from the station towards the flying objects, in both classic-orthogonal projections and 3D model, as well, offers the solution of a problem. Dynamic 3D model consists of two flying objects, monitored from two stations in predefined time periods. The constructive 3D solutions represent geometrical locus of false targets trajectories, for several settings of flaying objects and monitoring stations. The analyses have shown geometrical positioning of the third station impact to the exact FO’s coordinates determination. The geometrical solution could be the key for the development of numerical method, which will lead to applied software solution