Yevhen Adoniev, Viktor Vereshchaga, Andriy Naidysh. Compositional Method Of Geometric Modeling: Basic Principles

Natural Sciences / Mathematics / Geometry

Submitted on: May 25, 2018, 14:10:54

Description: The article presents the origins and systematizes the basic properties of the compositional method of geometric modeling in the context of modeling of complex multifactorial systems. The method is based on the means of the point calculation of Baliuba-Naidysh and has its advantages in geometric formalization of a large number of input factors of different nature. The approaches to parameterization of a point, a plane and an n-dimensional figure are shown. The possibility of transformation of geometric figures in local simplices without the use of the global coordinate system is proved. The invariance of the BN-coordinates in projecting on each of the axes allows us to break the complex multi-parameter n-dimensional problem into n simple, one-dimensional problems. This can significantly simplify the calculation process and reduce the system requirements for the used computer equipment.

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