CONSTRUCTION OF THREE-PARAMETER BODIES WITH DEGENERATE BOUNDARY SURFACES
The article describes a method for constructing three-parameter bodies using a framework consisting of a set of non-rectangular portion quadrangles, in which opposite boundaries have different parametric lengths. Equations of degenerate portions of bodies constructed on a hexagonal, pentagonal, and four-cornered frameworks are given. All these portions can be combined in one model to form a composite body. An algorithm for determining control points for a cubic Bezier curve, used to construct a boundary curve of a portion of a body, is considered. This method allows you to simulate the shape and describe the behavior of intermediate surfaces inside the body of the simulated object. The proposed technique can be used in the numerical simulation of multilayer structures of variable thickness.