Spirintskev D. Discrete interpolation on a basis variative formations difference schemes of angular parametres

Object - the discrete representation of flat and space curves through any configuration in a Cartesian coordinate system; the purpose - the development of the discrete interpolation (thickening) method discretely submitted by the curves (DPC) arbitrary configuration based on variative formation of angular parameters difference schemes n the absence of oscillations; methods - interpolation methods, numerical methods, discrete methods of geometric modeling; theoretical and practical results - a new method for discrete interpolation curves of arbitrary configuration based on variant of formation of the difference schemes of the angular parameters, which allows for global management-lyat form condensed curve and produce it locally correction satisfy additional conditions on the relation of the angles of contiguity, simplify the computation process and reduce time spent on getting the result. Using the results obtained in practice extends variance solutions and shorten the design, scientific innovation - received new solution to discrete interpolation of flat and space curves through any configuration in a Cartesian coordinate system; the degree of implementation - introduced on the State Enterprise Scientific and Production Complex gazoturbinostroeniya "Zorya" -"Mashproekt" when designing axial compressors of gas turbine engines and in the training of the process Tavria State agrotechnological University; scope of use - build geometric models of phenomena and processes with the given differential geometric properties.