Morozov D. Geometric modeling and discretization 2D and 3D objects of the complex form with use R-function

In the thesis is designed constructive tools of the method R-function for geometric modeling and sampling two-dimensional and three-dimensional object of the complex form, which essential image simplifies the building of the discrete models for geometric object complex forms, as well as their visualization. The offered class simple framework geometric models, which unites two main signs: united formal description and automatic sampling. Such approach allows to use R-functions as base in analytical construction complex geometric object framework type from simple framework of the models given class - an predicate of the forms. It is designed and software marketed new system analytical construction complex geometric discrete models, presented by framework on the base of the theories R-functions for using in engineering calculation. Keywords: method of the R-Function, predicate form, geometric modeling, framework model, visualization, finite element