Finding the orientation parameters of flat structural elements from point`s spatial coordinates geodetic measurements

The task of determining optimal estimates of a flat’s structural element spatial orientation angles is considered. Its initial data are the measured coordinates of points on its surface. The known methods of solving are based on minimizing the quadratic function of the distances between the plane and the points. The reasons for the decrease in the accuracy of the plane parameters estimates in these techniques are analyzed. The necessity of taking into account additional constraints on them at solving the mentioned problem is justified. Three new approaches to finding estimates of the azimuthal and horizontal angles of the plane orientation are proposed