ANALYSIS OF COMPOSITE GEOMETRIC MODELING

Abstract

Pidoruntyam for the determination of the composite geometric model (KGM) has become the point of Balubi-Naidish number (point BN-number), it is simpler to identify three points (HTTT). KGM also has HTTT rules.

Professor V.M. Vereshaga, doslіdzhuyuchi sintetichnі way to parametrizatsії vihіdnih geometric fіgur GF (tobto way to geometrichnoї parametrizatsії) at the of point BN-chislennі that vivchayuchi vlastivostі possession parametrіv, znayshov analogue algebraїchnogo utvorennya parametrіv for vihіdnoї GF i pobachiv dotsіlnіst stvorennya KGM s vikoristannyam algoritmіv algebraїchnogo utvorennya parametrіv for vihіdnoї GF.

Analytical (algebraic) algorithms for setting the parameters of the CGM at the same time with synthetic ones at the point BN-numerical ones appeared to have a lot of less resources, and at the same time, from the mathematical point of view, there are some similarities.

An analysis of the compositional lines and surfaces, from the traditional methods of their establishment, is shown, the completeness of the development of methods of compositional geometric modeling, as well as directly on more recent developments, is shown.

The compositional geometric model of the whole is rational or fractional rational function, which is given in parametric forms, in an irrevocably outgoing coordinate system, be it a precise point, which is meant to be the composition of the basic parts of the basic composites At the same time, the size of the part for the skin base point is determined by the specific value of the parameter, either by the values of the characteristic functions, or by the values of the BN coordinates, which are the parametric basis of the point polynomial, which KGM.

KGM has an indifferent number of coordinates at the elements, that is, the same as in the same world as a victorious element with a different number of coordinates that do not evolve a number of processes of coordinates for such an hour during Moreover, it is possible to navigate already at the established CG, as it is victorious in reality for the development of practical tasks, it is possible without efforts to reduce the number of coordinates of a point, so that one can see a number of characteristics of the previous ones.

Key words: geometric composition, geometric composition, geometric composition.