Research about Non-Manifold Modeling System and It's Boolean Operation

At first, describes the basic principal of non-manifold geometric modeling , the data structure,and some basic operations of the system used,then describes the basic theory of Boolean operation in non-manifold geometric modeling which consists of extended EULER formula, set ownship classification function, regular set and regular set operation. Finally, the five basic operation steps of Boolean operation are described,that is,①intersection, include the intersection of edge with edge, edge with face, edge with volume, face with face, face with volume. ②the formation of new loops and their partition into new sub-loops and sub-faces . ③the topology elements classification. ④linking the face into shells and linking shells into volumes. ⑤the formation of lamina elements which include lamina vertex, lamina edges, lamina faces.