Abstract
Transformations of geometric objects are described for offsetting. This paper presents the real-time synthesis of highquality images – a method of defining free forms without approximating them with polygons or patches, issues of using perturbation functions for real-time animation of the surfaces of three-dimensional objects. The method for visualizing functionally defined objects adapted for graphics processing units is proposed, as well as methods of transforming the describing function are implemented for geometric operations, such as deformation, displacement, morphology operation, also for nonhomeomorphic objects.