HYDRUS Geometry and B-Rep Model

HYDRUS domains of general type (2D-General and 3D-General) use the Boundary Representation model (B-Rep). In this topological model, an object of dimension N is defined by boundary objects of dimension N-1. For example, a Solid is defined by its boundary Surfaces and a Surface is defined by its boundary curves. The entire topology can be then viewed as a hierarchical structure in which simple objects define more complex objects. We also often talk about parent/child objects - for example, points are parent objects of curves, etc.. Table below contains main objects of B-Rep model used in HYDRUS and figure  shows a very simple topological structure consisting of a single Solid and its parent objects.