3-D Position Determination Using Close Range Photogrammetry for 3rd Order Accuracy Positioning

Abstract

In close range photogrammetry, the 3D object space coordinates of points can be obtained from its 2D pixel coordinates using any of the available transformation condition equations. This paper presents the use of collinearity condition equation to obtain both the space resection (Exterior Orientation parameters) and the space intersection (determination of points coordinates from a known point), for a vertical plane close range photogrammetry operation. This was carried out by using a total station instrument to coordinate five structural control points (P1 to P5) and nine other check/analysis points (SA1-SA9), marked on one side of a building. Thereafter, two different calibrated android phones camera (Tecno W3 and Infinix X509) where used for the photogrammetry data capture to the same building side at different positions (right and left).The data obtained were processed in a multi stage process, which includes: the pixel extraction using Matlab application, pixel coordinate to camera coordinate in millimeter conversion, Space resection and intersection using collinearity condition equation with least square adjustment iterative method at 0.001 convergence condition. The 3D object space coordinate output statistically reveals that there is no significant difference between the mean and variance of the transformation coordinates output and that of the total station coordinate output, for a third order job at 99% confidence level of accuracy. And also, that there is no statistical difference between the coordinate outputs of two different phones camera (Tecno W3 and Infinix X509 with focal lengths of 543.342mm and 839.092mm respectively) output obtained, also at 99% confidence level.