Loop Adaptive Subdivision Surface

Subdivision surface has a good advantage in constructing 3D model of complex geometric shape. The subdivided surface is closer to the real model, which is beneficial to the generation of tool path in machining, and has a broad development prospect in the field of automatic machining. With the subdivision progresses, mesh patch number increased and huge amount of data that is inconvenient for computer storage and operation. The distance formula between the mesh vertex of and the limit position of the vertex is derived in this paper. Given the arbitrary precision threshold, the k value is calculated to determine the subdivision depth, and the adaptive error control is proposed, then the subdivision problem of complex surface model is solved. The example simulation and theoretical analysis results show that the proposed method determines the depth in subdivision of the surface model in any precision range, avoids the data redundancy caused by the unlimited subdivision of the surface model. The new mesh provides convenience for the subsequent study of tool path planning.