Open AccessCONSTRUCTION OF THREE-PARAMETER BODIES WITH DEGENERATE BOUNDARY SURFACES
Author(s) -
T. V. Ayusheev,
R. N. Bulychev,
O. D. Rakshaeva
Publication year - 2019
Publication title -
prikladnaâ matematika i fundamentalʹnaâ informatika
Language(s) - English
Resource type - Journals
ISSN - 2311-4908
DOI - 10.25206/2311-4908-2019-6-4-4-17
Subject(s) - boundary (topology) , bézier curve , geometry , degenerate energy levels , parametric surface , parametric statistics , hexagonal crystal system , parametric equation , construct (python library) , set (abstract data type) , mathematics , parametrization (atmospheric modeling) , mathematical analysis , computer science , physics , optics , crystallography , statistics , chemistry , quantum mechanics , programming language , radiative transfer
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.