Variational Hierarchical Directed Bounding Box Construction for Solid Mesh Models

Abstract: Object oriented bounding box tree (OBB-Tree for short) has many applications in collision detection, real-time rendering, etc. It has a wide range of applications. The construction of the hierarchical directed bounding box of the solid mesh model is studied, and a new optimization solution method is proposed. But this part of the external space volume that does not belong to the solid mesh model is used as the error, and an error calculation method based on hardware acceleration is given. Secondly, the hierarchical bounding box construction problem is transformed into a variational approximation problem, and the optimal hierarchical directed bounding box is obtained by solving the global error minimum. In the optimization calculation, we propose that combining Lloyd clustering iteration in the same layer and MultiGrid-like reciprocating iteration between layers. Compared with previous results, this method can generate aired original solid mesh models are more tightly packed with hierarchical directed bounding box approximation. In the practical application of collision detection, the results constructed using this method can reduce the computational time of collision detection and improve detection efficiency.