Method of Parameter Reduction in the Transformation of Oblique Photographs and Proposal of Its Implementation in Unmanned Aerial Systems

In this publication, the authors present a different method of calculating rotation angles, based on rigid body mechanics. In addition, factors associated with the shift in coordinate system are eliminated in the initial phase of calculation. Based on the rules of momentum, the displacement of the coordinates and then the angles of rotation (Tait-Bryan) are calculated by which rotation matrix is determined. This shows that, in space to space transformations (where one is oblique relative to the second), it is sufficient to have at least two control points that are registered in both spaces, but are located on the axes of the primary system or three any-located points. This method was validated in a laboratory and field. A series of surveys using an electronic total station in an oblique system was conducted, gaining (sub) centimetre accuracy. Following this, the possibility of its implementation in unmanned aerial systems is discussed.