Kovtun O. Constructioning of discrete frame of quasi-canal surfaces for obviously given requirements

The task of displacement of canal and the quasi-canal surfaces is solved. In this investigation the surfaces presented by discrete punctual frame with normal section of the given area through apertures and chink of different shape are axamined. At that the extraordinary surfaces' self-crossings are excluded and the initial parameters for modeling are saved. For the solution of this problem the following methods were elaborated on the basis of progressive approximations method and statistic-geometrical method. At first, it was developed the method of monotone changing of shape generatrix presented as closed line or arc of centrally organized discretely presented curve which can be inscribed in quadrangles with given parameters. At that the area bordered by this curve is saved. At second, it was developed the way of managing by curvature of plane discretely presented composite guide surface axis which is forming with using of simple unisection arc of a pseudo-spirais as interpolants. Such using guarantees a monotony of curvature changing.