Matsulevich A. Approximation of the discretely presented curves in polar system of coordinates by criterion of the least limiting deviations.

The dissertation is devoted to development of methods of approximation spiral and closed discretely presented curves (DPC) in polar system of coordinates by criterion of the least limiting deviations (LLD) on the basis of transferring to space of parameters and construction convex basic DPC, limiting the given dot set outside and from within, which meet the requirements of simplicity of accounts, prevention oscillation. Research receptions: methods of approximation, statistical methods, methods of discrete geometrical modeling of curve lines. Theoretical and practical results: Has received the further development a method of LLD-approximation centre of the organized dot sets spiral by curves in polar system of coordinates by transferring to space of parameters, a method of LLD-approximation spi-ral DPC for the first time is offered on the basis of construction convex basic DPC, including the geometrical circuit, settlement algorithms and programs, for the first time is offered and theoretically way ofcorrection of rectilinear sites LLD-DPC is reasonable by replacement them curvilinears, convex in the party basic DPC in view of absence oscillation, the iterative way of construction of the LLD-decision is developed on the basis of gradual approach basic DPC to each other before concurrence them with the beforehand given accuracy. The received results allow to raise accuracy of modeling, to lower material input at the expense of reception of perfect models. Sphere of application: mechanical engineering, agriculture.