Abstract
Solid modelling plays an important role in CAD applications, especially in finite element analysis. Constructive solid geometry (CSG) is one of the most popular methods used for representing solids. It preserves the three-dimensional structure of the object, and also provides a hierarchical representation which is useful in representing complex objects. Yet the representation is only syntactic. Finite element analysis needs additional information about the objects, such as topological and physical properties. This paper incorporates these properties in a CSG representation of solids and provides semantic constraints for manipulating these properties. Such a CSG tree is called a semantic CSG tree. Preserving the semantic information at the nodes of a CSG tree also guides the designer to reuse the analysis of the substructures of that tree.
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