Assessment of the Accuracy and Precision of Deviations in Control Points through the Three-Point Resection Method

Abstract

Land surveying techniques have been changing rapidly from conventional methods over the past two decades. The resection method in surveying applications has made the processes more cost effective and time-efficient. The three-point resection method (TPRM) is a widely used technique in surveying that enables the determination of coordinates of a resected point which the coordinates may not be known with higher precision and accuracy. To further improve the accuracy of the resection method, this research examines and proposes a three point resection method (TPRM) through a triangle model, which is combined with three known control points. This model identifies any impacts on the accuracy and precision of positions for resected points, irrespective of the points residing inside or outside the triangle. The primary objective of this study is to determine the applicability, of whether the control points can be established with higher accuracy and precision using the three-point resection method. Furthermore, the study aims to determine the optimal positions extracted from a MATLAB function. In the estimation of the approximate values of the resected coordinates are used as Kaestner-Burkhardt method (KBM). In this case, least squares may be employed to obtain the best-estimated coordinates of the resected point. Moreover, the tertiary control coordinates and least square adjusted coordinates were used to analyse the accuracy of resected coordinates. The results show that both resected positions give same level of accuracy. The relationship between the precision of resected point coordinates, residing inside the triangle indicate higher precision than the points residing outside.