Two-dimensional displacement measurement using static close range photogrammetry and a single fixed camera

This work describes a simple approach to measure the displacement of a moving object in two directions simultaneously. The proposed approach is based on static close range photogrammetry with a single camera and the well-known collinearity equations. The proposed approach requires neither multi-camera synchronization nor mutual camera calibration. It requires no prior knowledge of the kinematic and kinetic data of the moving object. The proposed approach was used to evaluate predefined two-dimensional displacements of a moving object. The root mean square values of the differences between the predefined and evaluated displacements in the two directions are 0.11 and 0.02 mm.