Lysenko K. Theoretical bases of methods of formation of composite lines and surfaces

Українська версія

Thesis for the degree of Doctor of Philosophy (PhD)

State registration number

0822U100578

Applicant for

Specialization

  • 131 - Механічна інженерія. Прикладна механіка

26-01-2022

Specialized Academic Board

ДФ 26.056.033

Kyiv National University of Construction and Architecture

Essay

In the given dissertation work the composite geometrical modeling in the part of increase in quantity of basis points of an initial geometrical figure which are exposed to global compositional interpolations has received the further development. Composite geometric modeling is a new scientific field, in general, and in applied geometry, in particular, which uses non-empty finite sets of points that discretely represent the original geometric objects. CGM is designed for the formation of geometrically analytically formalized continuous models of geometric objects of arbitrary shape under predetermined conditions by performing compositional interpolation with point polynomials.

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