Sherbina V. Geometrical modeling spiral of the discretely submitted curve lines.

The dissertation is devoted to development of methods of geometrical modeling spiral and closed discretely presented curve lines (DPC) on the basis of corners of a contiguity of an accompanying polygonal line (APL), which meet the requirements of simplicity of accounts, local correction of a curve, prevention oscillation. Research receptions: methods of interpolation, numerical methods, methods of discrete geometrical modeling of curve lines and surfaces. Theoretical and practical results: for the first time is made and the identity of a condensation is proved on the basis of corners of a contiguity in units DPC before and after a condensation; are offered different scheme of the circuit of a condensation on the basis of parities between corners of a contiguity before and after a condensation; for the first time is offered and theoretically way of a condensation is reasonable on the basis of geometrical parities between corners of a contiguity; the ways of continuous and discrete interpolation are developed on the basis of special function and formation of set tangents in units DPC. The received results allow raising accuracy of modeling, to lower material input at the expense of reception of perfect models. Sphere of application: mechanical engineering, agriculture.