Boundary Conformed Toolpath Generation via Laplace Based Parametric Redistribution Method

Abstract

A new approach for boundary conformed toolpath generation is presented in this paper. The approach combines the numerical Laplace solution for initial parametrization and a parametric redistribution algorithm for improved toolpath generation. The Laplace parametrization can be applied to any 2D surface domain without anomalies. Our parametric redistribution algorithm can then be used to reduce the unevenness that usually occurs in Laplace parametrization. The adequacy of computational robustness and efficiency of the parametric redistribution method are tested in this paper. By applying the parametric redistribution method, both the machining efficiency and uniformity of the resultant toolpaths can be improved. The advantages of this boundary conformed toolpath generation approach are successfully demonstrated on several typical examples.