MODEL FOR DETERMINATION OF THREE-DIMENSIONAL COORDINATES OF HIDDEN POINTS

Modelo para determinação de coordenadas tridimensionais de pontos ocultos

One of the problems encountered during surveys is obstruction of points to be monitored, an example of this can be found in industrial environments where there are usually pipes and equipment that do not allow the establishment of straight lines;. An alternative to the application of topographic survey techniques is the use of plane mirrors to diversion of straight lines where the points of interest are observed indirectly. This study presents a new approach to the problem, whose analytical solution is based on the principles of Geometrical Optics and Surveying. The relative positional accuracy achieved in the preliminary tests is submillimetric order, and the absolute positional accuracy is millimetric order.

Keywords:
industrial surveying; hidden points; plane mirror.