VERTICALITY ASSESSMENT OF THE OBJECTS WITH A CIRCULAR BASE: METHOD COMPARISON

Abstract

The inclination is the most important criteria for determining stability of the object for objects for which the ratio of height and width is high (industrial chimneys, towers, tall buildings, etc.). In this paper, two methods for testing the verticality of objects with a circular base will be presented: principal components analysis (PCA), and a new method based on fitting circles and analytical geometry in space presented in the paper "Rapid assessment of verticality of structural objects with a circular base" (Hamzić, Kamber Hamzić i Avdagić, 2021). The cases when the verticality of the object is calculated from the cloud of measuring points of all or part of the object and when the verticality is calculated from the measurement of the circular arc of the object in two levels are analyzed. The results showed that both methods give quality results when the point cloud covers the entire circular arc of the object. In cases where only a part of the circular arc was observed, the method based on the circle fitting gave better results. In the case when the measurement is performed only in two levels on the object, the method based on circle fitting gave good results while the PCA method had large errors in estimating the inclination of the object.

Keywords

• object stability
• inclination
• circular base
• principal components analysis
• circle fitting
• analytical geometry