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Object oriented bounding box tree (OBB-Tree for short) has many applicationsin collision detection, real-time rendering, etc. It has a wide range ofapplications. The construction of the hierarchical directed bounding box of thesolid mesh model is studied, and a new optimization solution method isproposed. But this part of the external space volume that does not belong tothe solid mesh model is used as the error, and an error calculation methodbased on hardware acceleration is given. Secondly, the hierarchical boundingbox construction problem is transformed into a variational approximationproblem, and the optimal hierarchical directed bounding box is obtained bysolving the global error minimum. In the optimization calculation, we proposethat combining Lloyd clustering iteration in the same layer and MultiGrid-likereciprocating iteration between layers. Compared with previous results, thismethod can generate aired original solid mesh models are more tightly packedwith hierarchical directed bounding box approximation. In the practicalapplication of collision detection, the results constructed using this methodcan reduce the computational time of collision detection and improve detectionefficiency.

Variational Hierarchical Directed Bounding Box Construction for Solid Mesh Models