Gavrilenko E. Discrete interpolation of plane one-dimensional contours with regular change of curvature.

The dissertation is devoted to development of methods unoscillation to interpolation of discretely submitted curves (DSC) with natural change of curvature with use baricentric of co-ordinates on the basis of adjoining circles and construction of a strip of ranges of possible values of curvature in points DSC which meet the requirements of simplicity of calculations, prevention oscillation. Research receptions: methods of interpolation, methods of discrete geometrical modeling of curves. Theoretical and practical results: Has received the further development a method of discrete interpolation of dot lines with use of local systems baricen-tric of coordinates, the method of interpolation DSC with natural change of curvature for the first time is offered on the basis of the adjoin-ing circles, including geometrical circuits, set-tlement algorithms and programs, the way of the analysis initial DSC for the first time is of-fered, allowing to determine a strip of ranges of position of points of a condensation and the strip of values of curvature appropriate to it in points formed DSC, ways of formation of contours of the second order of smoothness various orders of fixing are developed. The re-ceived results allow raising accuracy of mod-eling to lower material inputs due to reception of more perfect models. Sphere of application: mechanical engineering, agriculture.