Development and application of the geometry constructions language to building computer geometric models

Abstract

Geometric models for industrial purposes are created in CAD systems making use of geometric constructions commands. At the same time, the so-called constructive or synthetic (as opposed to analytical) method to create a geometric model is implemented. The set of tools of any CAD system is limited, so accomplishing a specific task will require repeating a series of geometric constructions of the same type to form the desired shape. In this paper, a specific GC language (Geometry Constructions Language) is proposed to introduce an automated process of geometric modeling. To do this, theoretical issues of constructive geometry are analyzed, the main objects and syntax of the GC language are identified. The paper provides an example of building a model of a temple dome using GC language translator. It is noted that the GC language allows geometric modeling of regular curves (including trajectory of objects) and surfaces and applying new geometric correspondences and transformations. At the same time, geometric models in CAD systems are created faster since you don’t have to repeat manually the same type of construction or develop new equations and formulas for calculations.