1. Tool path generation for triangular meshes using least-squares conformal map.
- Author
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Li, Wenlong, Yin, Zhouping, Huang, Yongan, Wu, Tong, and Xiong, Youlun
- Subjects
CONFORMAL mapping ,LEAST squares ,TRIANGULATION ,NUMERICAL control of machine tools ,NUMERICAL grid generation (Numerical analysis) ,MATHEMATICAL optimization - Abstract
Tool path generation is an interesting and challenging task in free-form surface machining. Iso-planar tool path generation is one of the common approaches to dealing with this task. However, it suffers from an inherent drawback that intersecting intervals of the iso-planar method are limited to surface geometric features. This results in poor machining efficiency in flat regions due to redundant machining paths. For this problem, a new tool path generation method for triangular meshes is proposed based on the least-squares conformal map (LSCM). After LSCM parameterisation with minimal stretching energy, the triangular meshes are unfolded on a plane, where the principal component analysis (PCA) technique is employed to determine a suitable drive line for calculating cutter contact paths by the iso-planar strategy. Therefore, the tool paths are generated in a plane and the unevenness of the traditional iso-planar method is improved. The feasibility and effectiveness of the developed method is demonstrated through a test experiment. [ABSTRACT FROM AUTHOR]
- Published
- 2011
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