Research on 3D Structure Model of Packaging Carton/Carton(2)

1.2 The three-dimensional structural model of the carton carton is different from the general physical model. A carton carton is composed of only a series of faces. It has a three-dimensional model based on wireframes and polygons without a solid model. The wireframe model has a simple structure and is easy to implement. It mainly uses the vertices and adjacent edges to represent carton boxes. The surface-based three-dimensional model defines the surface (ring) of the carton carton by the portion surrounded by the directional edges, and adds the related ring information and the like to the online frame model. The three-dimensional structural model of the carton carton should record in detail all the geometric information and topological information that constitutes the carton carton, mainly the information and data of each constituent face, each constituent ring of the face, each constituent edge of the ring, and each vertex. This facilitates the construction of carton carton wireframe models and face models based on edges and faces. The geometric information of the carton carton is used to represent the properties of geometric elements and metrics, such as the position, size, and orientation of the elements. The topological information is the number of components (points, edges, and faces) of the carton carton and the connections to each other. relationship.
According to the structure of the carton carton, a carton carton model is a model with a finite vertex V={v1,v2,...,vm}, an edge E={e1,e2,...,en}, and a ring F={ F1,f2,...,fr} Plane set {V, E, F}. Figure 2 shows the shape of a 0201 carton, and Figure 3 shows its development.

Figure 3 The opening box of the 0201 carton

The figure shows the various components, each component, and each component. Among them, for the sake of clarity of the illustration, the edges and points only identify parts. The geometry information of the surface model is shown in Table 1 and Table 2, namely, the edge point table and the edge table.

The above relationship includes the relationship between faces (rings) and edges, edges, and vertices. However, the structural relationship between the various surfaces of the carton carton model is also very important. Take the 0201 case above as an example. There are a total of 13 surfaces. Their topological relationships are shown in Figure 4: where the solid line indicates the neighboring relationship, and the dashed line indicates Adhesion relationship. (To be continued)