Abstract
In this paper, we adopt a 2D re-parameterization procedure to regenerate boundary-conformed toolpaths. Three methods for the 2D re-parameterization of trimmed boundaries in parametric space are examined and compared. They are the Coons method, the Laplace method, and a newly developed boundary blending method. Complete algorithms for surface re-parameterization and toolpath generation are developed and implemented. The results showed that compared with the other methods, the newly developed boundary blending method has advantages in both the computational efficiency and parameterization robustness, in addition, it alleviates the uneven distribution problem appeared in the Laplace results.
