Alathamneh H. Mathematical modelling of geometric objects using parametric functions

The thesis is devoted to the development of the approach for analytical construction of mathematical models of complex geometric objects using parametric functions and predicate logic for representation of geometric primitives. There are modified mathematical tools of parametric functions. The incremental Delaunay triangulation method is also modified for automatic meshing into triangles or tetrahedrons of complex domains that are represented by parametric functions. Finally, there are proposed new approaches for the development of a domain specific language for a computer representation of models using parametric functions. New scientific results are obtained. It is developed new software that allows to model complex geometric objects. This software could be used as a preprocessor of the Finite Element Method.