ABSTRACT
When modeling geometric objects by means of set operations, different and unwanted results occur that are dependent on the chosen representation. Unwanted results can have topological ramifications.
Set operations can be mathematically correct from the point of view of the representation, but they do not always reflect the geometric properties of an object correctly. In a typical example, improving its form yields the difference between the Boolean set operations and the regularizing set operations, or applying additional regularizing set operations as a new and independent modeling operation.
