### Mathematical analysis of drone flight path

#### Abstract

In practice, the drone may not always be able to follow a pre-planned flight path. Therefore, producing orthophotos can be problematic. The drone's shooting positions can be read from the captured images, so the actual flight path is known. The recorded route data and camera properties can be used to calculate the photographed area. It is a prerequisite for making an orthophoto that the adjacent images overlap a certain percentage. Calculating the area of an overlapping rectangle is lengthy by specifying the coordinates of the intersecting sides. We have developed a simpler method for this. One of the two overlapping rectangles was fixed and examined to determine the curve of the center of the other rectangle such that the overlapping area was exactly equal to the required overlap. This curve has become a hyperbola arc. This makes the calculation simpler and can be traced back to comparing the lengths of two sections. The method was developed using GeoGebra software.

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PDFDOI: 10.17700/jai.2019.10.2.533