What are the traditional set operations?

The basic operations of traditional sets include intersection, union, relative complement, absolute complement and subset. Set operation is a common word in mathematical science, and it is a very effective method to construct shapes, which can intuitively reduce the difficulty of operation.

Set operation is a very important module in the solid modeling system, and it is also a very effective method to construct the body. From one-dimensional geometric elements to three-dimensional geometric elements, many set operation algorithms are proposed for different situations and application requirements.

In the early modeling system, the object of processing was regular shape, so the set operation of regular shape was defined to ensure that the regular shape was closed under the set operation. In irregular shape modeling, the shapes involved in set operation can be bodies, faces, edges and points, and the results of the operation are also these shapes, which requires that these shapes with different dimensions can be handled uniformly in the set operation algorithm, so it is necessary to introduce irregular shape operation.