Khymenko I. Geometrical of modeling field relief for precision farming system.

The thesis is devoted to the development of geometrical relief models of on a known set of dot lines on its surface. Point's coordinates are noted in the memory of onboard computer unit with the help of satellite means navigation at its driving on a field. They are input data's of unit driving on parallel lines, lines determination of the greatest surface declination surface, relief modeling by a space grid. The big attention is paid to interpolation of flat and space dot lines. Properties of an interpolation curve are investigated on the basis of the graphs sum of a hyperbolic secant, conditions at which it is less inclined to an oscillation are found. It is shown, that such interpolation curve can combine plots flat, space curves and rectilinear cuttings with the defined exactitude. Experiment on modeling of real field plot is carried out. The visualization of space netted and polygonal models of a relief is made. The obtained outcomes are justified theoretically and confirmed with introductions ineducational process and agricultural practice.