Rough Tool Path Generation for NC Machining of Loop Subdivision Surfaces

Subdivision surface modeling plays an important role in the field of surface modeling. As the gradual progress of subdivision is discrete, both a smooth design model and a discrete machining model can be represented by subdivision surface. Particularly, due to the unique multiresolution property, different multiresolution models can be obtained by utilizing subdivision wavelets analysis filters. Therefore, different multiresolution models can be applied to generate tool paths at different NC machining stages. Firstly, the paper is mainly focused on the key technologies of Loop subdivision surface multiresolution analysis. The biorthogonal Loop subdivision wavelets decomposition and reconstruction based on the reverse subdivision are realized and verified experimentally. Secondly, special attention is paid to the tool path generation of rough machining based on reverse Loop subdivision surface. By making use of Loop reverse subdivision wavelets and adjustment algorithms of local control points, the smooth rough machining model with minimum energy is generated. Finally, machining simulation tests are implemented for the verification.