Abstract: An object tracking have multiple challenges and constraints in each application or field of research. The reason for this is because: finding the optimal trajectory shape of the video motion is not that predictable. Tracking the path of moving targets needs to describe the nature of the movement and behavior of properties for the moving target and determine the quality of movement (normal or abnormal). The aim of this study is to compare the three methods for moving object in order to determine the quality and shape of the movement (straight line, circle arc, ellipse, oscillating, S-shaped…etc.). In the first case, the work depends on the slope in mathematical model while in the second case the calculations depend on the fundamental of linear and non-linear regression specification which are followed by the computation of minimum mean square error, minimum absolute error and minimum mean error for each case. In the third case addressing a mathematical model using the description Fourier method dealing with shape of movements.