Abstract

Positions of polygon points determining a geometric shape of a building object are affected by random measurement errors of the object’s angles. Polygon angles are thus not equal when comparing actual and design angles of a building object. However it is possible to make an attempt to correct polygon angles within the standard deviation of the position of polygon points and lead to their congruency with the known design angles of the field object. In this paper, we propose the least squares method for angular adjustment of a polygon which is robust to angles much outlying from their design values. As a result the adjusted polygon has angles equal to the design angles and also detected angles outlying from the design ones, with determined values of deviations. Meanwhile, the coordinates of polygon points slightly changed within their standard deviations.

Key words: geospatial database, building object geometry, adjustment of the polygon object, robust estimation